%
% This file was created by the TYPO3 extension
% bib
% --- Timezone: CEST
% Creation date: 2020-08-11
% Creation time: 06-48-53
% --- Number of references
% 212
%
@Article { Pu14,
title = {Stochastic collocation and stochastic Galerkin methods for linear differential algebraic equations},
journal = {J.Comput. Appl.Math.},
year = {2014},
volume = {262},
pages = {281-291},
author = {Pulch, Roland}
}
@Article { HeBaEh14,
title = {Characteristic boundary Conditions in the Lattice Boltzmann Method for Fluid and Gas dynamics},
journal = {J. Comput. Appl. Math.},
year = {2014},
volume = {262},
pages = {51-61},
author = {Heubes, Daniel and Bartel, Andreas and Ehrhardt, Matthias}
}
@Article { FaGaEhTr14,
title = {Classical and Quasi-Newton methods for a Meteorological Parameters Prediction Boundary Value Problem},
journal = {Appl. Math. Inf. Sci.},
year = {2014},
volume = {8},
number = {6},
pages = {1-11},
author = {Famelis, I. and Galanis, G. and Ehrhardt, Matthias and Triantafyllou, D.}
}
@Book { Gu14a,
title = {COMSON- coupled multiscale similation and optimisation in nanoelectronics .},
year = {2014},
publisher = {Springer},
author = {G{\"u}nther, Michael}
}
@Book { FoGuMa14,
title = {Progress in Industrial Mathematics at ECMI 2012},
year = {2014},
editor = {Fontes, M. and G{\"u}nther, Michael and Marheineke, Nicole},
publisher = {Springer},
author = {Fontes, M. and G{\"u}nther, Michael and Marheineke, Nicole}
}
@Book { EhKo14,
title = {Advanced Mathematical Models and Numerical Techniques for Multiband Effective Mass Approximations},
year = {2014},
editor = {Ehrhardt,Matthias and Koprucki,Th.},
publisher = {Springer Verlag},
author = {Ehrhardt, Matthias and Koprucki, Th.}
}
@Inbook { ZiArEhKo14,
title = {Transient Simulation of kp-Schr},
year = {2014},
editor = {Ehrhardt, Matthias and Koprucki, T.},
publisher = {Springer Verlag},
author = {Zisowsky, A. and Arnold, A. and Ehrhardt, Matthias and Koprucki, Th}
}
@Inbook { KlEhKo14,
title = {Discrete Transparent Boundary Conditions for Multiband Effective Mass Approximations},
year = {2014},
editor = {Ehrhardt, Matthias and Koprucki,Th.},
publisher = {Springer Verlag},
author = {Klindworth, D. and Ehrhardt, Matthias and Koprucki, Th.}
}
@Inbook { EhPeTaViVi14,
title = {Popular Support to Terrorist Organizations: A Short-Term Prediction based on a Dynamic Model applied to a Real Case},
year = {2014},
editor = {Cort},
publisher = {Nova Science},
author = {Ehrhardt, Matthias and Peco, M. and Tarazona, A.-C. and Villanueva, R.-J. and Villanueva-Oller, J.}
}
@Inbook { Eh14,
title = {Nonstandard Finite Difference Schemes for the Black-Scholes Equation},
year = {2014},
editor = {Gumel, A.},
publisher = {AMS (Contemporary Mathematics)},
author = {Ehrhardt, Matthias}
}
@Inproceedings { KaGuKlRiScMa14,
title = {Coupled Heat-Electromagnetic Simulation of Inductive Charging Stations for Electric Vehicles},
year = {2014},
editor = {Fontes et al},
publisher = {Springer},
address = {Berlin},
booktitle = {ECMI2012 proceedings},
author = {Kaufmann, Christof and G}
}
@Article { TeEhGu13b,
title = {Numerical Evaluation of Complex Logarithms in the Cox-Ingersoll-Ross Model},
journal = {International Journal of Computer Mathematics},
year = {2013},
volume = {90},
number = {5},
pages = {1083-1095},
booktitle = {Int. J. Comput. Math},
author = {Teng, Long and Ehrhardt, Matthias and G{\"u}nther, Michael}
}
@Article { TeEhGu13,
title = {Bilateral Counterparty Risk Valuation of CDS contracts with Simultaneous Defaults},
journal = {Int. J. Theoret. Appl. Finance},
year = {2013},
volume = {16},
number = {7},
author = {Teng, Long and Ehrhardt, Matthias and G{\"u}nther, Michael}
}
@Article { RaEh13,
title = {Conservative and Finite Volume Methods for the convection-dominated Pricing Problem},
journal = {Adv.Appl.Math.Mech.},
year = {2013},
volume = {5},
number = {6},
pages = {759-790},
author = {Ramirez- Espinoza, G.I. and Ehrhardt, Matthias}
}
@Article { Pu13b,
title = {Polynomial chaos for semi-explicit differential algebraic equations of index 1},
journal = {International Journal of Uncertainty Quantification},
year = {2013},
volume = {3},
number = {1},
pages = {1-23},
author = {Pulch, Roland}
}
@Article { Pu13,
title = {Stochastic Galerkin methods for analyzing equilibria of random dynamical systems},
journal = {SIAM/ASA J. Uncertainty Quantification},
year = {2013},
volume = {1},
pages = {408-430},
author = {Pulch, Roland}
}
@Article { HuBaScGe13,
title = {Extended Brauer Model for Ferromagnetic mmaterial: Analysis \& Computation},
journal = {SCEE 2012 Proceedings},
year = {2013},
pages = {accepted},
author = {H{\"u}lsmann, Timo and Bartel, Andreas and Sch{\"o}ps, Sebastian and De Gersem, Herbert}
}
@Article { EhMi13,
title = {A Nonstandard Finite Difference Scheme for Convection-Diffusion Equations having Constant Coefficients},
journal = {Appl. Math. Comput.},
year = {2013},
volume = {219},
number = {12},
pages = {6591-6604},
author = {Ehrhardt, Matthias and Mickens, R. E.}
}
@Article { CoEhSaSaVi13a,
title = {Modelling the dynamic of the students academic performance in the German region of North-Rhine-Westphalia: an epidemiological approach with uncertaint},
journal = {International Journal of Computer Mathematics},
year = {2013},
pages = {1--11},
author = {Cortes, J.C. and Ehrhardt, Matthias and Sanch}
}
@Article { BaGeHuRoSc13,
title = {Quantification of Uncertainty in the Field Quality of Magnets Originating from Material Measurements},
journal = {IEEE Trans. on Magnetics},
year = {2013},
volume = {49},
number = {5},
pages = {2367-2370},
author = {Bartel, Andreas and De Gersem, Herbert and H{\"u}lsmann, Timo and R{\"o}mer, U. and Sch{\"o}ps, Sebastian and Weiland, T.}
}
@Article { BaBrSc13,
title = {On the convergence rate of dynamic iteration for coupled problems with multiple subsystems},
journal = {JCAM},
year = {2013},
pages = {accepted},
author = {Bartel, Andreas and Brunk, Markus and Sch{\"o}ps, Sebastian}
}
@Article { BaBrGuSc13,
title = {Dynamic iteration for coupled problems of electric circuits and distributed devices},
journal = {SIAM J. Sci. Comput.},
year = {2013},
volume = {35},
number = {2},
pages = {B315-B335},
author = {Bartel, Andreas and Brunk, Markus and G{\"u}nther, Michael and Sch{\"o}ps, Sebastian}
}
@Book { Eh13a,
title = {Novel Trends in Lattice-Boltzmann Methods - Reactive Flow, Physicochemical Transport and Fluid-Structure Interaction},
year = {2013},
volume = {3},
editor = {Ehrhardt,Matthias},
publisher = {Bentham Science Publishers Ltd},
series = {Progress in Computational Physics.},
author = {Ehrhardt, Matthias}
}
@Inbook { HeBaEh13,
title = {An Introduction to the Lattice Boltzmann Method for Coupled Problems.},
year = {2013},
volume = {3},
pages = {3-20},
editor = {Ehrhardt, Matthias},
publisher = {Bentham Science Publishers},
series = {Ebook Series},
author = {Heubes, Daniel and Bartel, Andreas and Ehrhardt, Matthias}
}
@Inbook { EhGuJa13,
title = {RD3 Modeling and Numerical Simulation.},
year = {2013},
editor = {R. Koppmann},
publisher = {Springer Verlag},
author = {Ehrhardt, Matthias and G{\"u}nther, Michael and Jacob, B.}
}
@Booklet { CoEhSa13,
title = {Novel Methods in Computational Finance Special Issue of International Journal of Computer Mathematics of selected papers from these fields in Computational Mathematics and it's applications, presented at the International Conference on Mathematical Modell},
year = {2013},
address = {Instituto Universitario de Matem},
author = {Company, R. and Ehrhardt, Matthias and S, Jodar}
}
@Inproceedings { ZiArEhKo13,
title = {Transient Simulation of kp-Schr},
year = {2013},
editor = {M. Ehrhardt and Th. Koprucki},
publisher = {Springer Verlag},
booktitle = {Advanced Mathematical Models and Numerical Techniques for Multiband Effective Mass Approximations},
author = {Zisowsky, Arnold and Ehrhardt, Matthias and Koprucki, Th.}
}
@Inproceedings { KlEhKo13,
title = {Discrete Transparent Boundary Conditions for Multiband Effective Mass Approximations},
year = {2013},
editor = {M. Ehrhardt and Th. Koprucki},
publisher = {Springer Verlag},
booktitle = {Advanced Mathematical Models and Numerical Techniques for Multiband Effective Mass Approximations},
author = {Klindworth, Ehrhardt and Koprucki, Th.}
}
@Inproceedings { PuMaAu13,
title = {Sensitivity analysis of linear dynamical systems in uncertainty quantification.},
year = {2013},
pages = {507-508},
booktitle = {Proc.Appl.Math.Mech.13},
author = {Pulch, Roland and ter Maten, E. Jan W. and Augustin, F.}
}
@Inproceedings { ScBaGu13,
title = {An Optimal p-Refinement Strategy for Dynamic Iteration of Ordinary and Differential Algebraic Equations},
year = {2013},
volume = {13},
pages = {549},
booktitle = {Proc. Appl. Math. Mech},
author = {Sch}
}
@Inproceedings { EhGuJa13,
title = {RD3 Modeling and Numerical Simulation},
year = {2013},
editor = {R. Koppmann},
publisher = {Springer Verlag},
booktitle = {Springer Briefs on Air Quality - Climate Interaction},
author = {Ehrhardt, Matthias and G{\"u}nther, Michael and Jacob, B.}
}
@Inproceedings { CoEhSaSaVi13,
title = {Modelling the dynamic of the students academic performance in the German region of North-Rhine-Westphalia},
year = {2013},
booktitle = {Proceedings of the CMMSE 2012- 12th International Conference Computational and Mathematical Methods in Science and Engineering, July 2-5, 2012, La Manga},
author = {Cortes, J.-C. and Ehrhardt, Matthias and Sanchez-Sanchez, A. and Santonja, F.-J. and Villanueva, R.-J.}
}
@Article { BrKv12,
title = {Positivity preserving discretization of time dependent semiconductor drift-diffusion equations},
journal = {Applied Numerical Mathematics},
year = {2012},
month = {10},
volume = {62},
number = {10},
pages = {1289-1301},
author = {Brunk, Markus and Kv{\ae}rn{\o}, A.}
}
@Article { WaGuKnSt12,
title = {Symmetric partitioned Runge?Kutta methods for differential equations on Lie groups},
journal = {Applied Numerical Mathematics},
year = {2012},
volume = {62},
number = {12},
pages = {1740?1748},
author = {Wandelt, Michele and G{\"u}nther, Michael and Knechtli, F. and Striebel, Michael}
}
@Article { ScGeBa12,
title = {Higher-Order Cosimulation of Field/Circuit Coupled Problems},
journal = {IEEE Trans. on Magnetics},
year = {2012},
pages = {to appear},
author = {Sch{\"o}ps, Sebastian and De Gersem, Herbert and Bartel, Andreas}
}
@Article { ScBaCl12,
title = {Higher Order Half-Explicit Time Integration of Eddy Current Problems Using domain substructuring},
journal = {IEEE Trans. on Magnetics},
year = {2012},
pages = {to appear},
author = {Sch{\"o}ps, Sebastian and Bartel, Andreas and Clemens, Markus}
}
@Article { PuXi12a,
title = {Generalised Polynomial chaos for a class of linear conservation laws},
journal = {J.Sci.Comput.},
year = {2012},
volume = {51},
number = {2},
pages = {293-312},
author = {Pulch, Roland and Xiu, D.}
}
@Article { PuXi12,
title = {Generalised polynomial chaos for a class of linear conservation laws},
journal = {Journal of Scientific Computing},
year = {2012},
volume = {51},
number = {2},
pages = {293-312},
author = {Pulch, Roland and Xiu, D.}
}
@Article { Pu12,
title = {Polynomial chaos for boundary value problems of dynamical systems},
journal = {Applied Numerical Mathematics},
year = {2012},
volume = {62},
number = {10},
pages = {1477-1490},
author = {Pulch, Roland}
}
@Article { NgEh12,
title = {Modelling and Numerical Valuation of Power Derivatives in Energy Markets},
journal = {Advances in Applied Mathematics},
year = {2012},
volume = {4},
number = {3},
pages = {259-293},
author = {Nguyen, M.H. and Ehrhardt, Matthias}
}
@Article { Eh12b,
title = {Advanced Computational Engineering},
journal = {International Journal of Computer Mathematics},
year = {2012},
number = {1},
author = {Ehrhardt, Matthias and S´anchez, LJ and Villanueva, RJ}
}
@Article { Eh12a,
title = {Numerical Methods and Mathematical Modelling in Biology, Medicine and Social Sciences},
journal = {International Journal of Computer Mathematics},
year = {2012},
number = {2},
author = {Ehrhardt, Matthias and S´anchez, LJ and Villanueva, RJ}
}
@Article { DaEhTrLe12,
title = {Mathematical Modelling and Numerical Algorithms for Simulation of Oil Pollution},
journal = {Environmental Modeling \& Assessment},
year = {2012},
volume = {17},
number = {3},
pages = {275-288},
author = {A Dang, Quang and Ehrhardt, Matthias and Lich Tran, Gia and Le, Duc}
}
@Article { DaEh12,
title = {On Dirac delta sequences and their generating functions},
journal = {Applied Mathematics Letters},
year = {2012},
volume = {25},
number = {12},
pages = {2385-2390},
author = {Dang, Quang A and Ehrhardt, Matthias}
}
@Article { ArEhScSo12,
title = {Discrete transparent boundary conditions for the Schr{\"o}dinger equation on circular domains},
journal = {Communications in Mathematical Sciences},
year = {2012},
volume = {10},
number = {3},
pages = {889-916},
author = {Arnold, A. and Ehrhardt, Matthias and Schulte, M. and Sofronov, I.}
}
@Book { GuBaBrStSc12,
title = {Progress in Industrial Mathematics at ECMI 2010.},
year = {2012},
note = {978-3-642-25099-6},
editor = {G{\"u}nther, Michael and Bartel, Andreas and Brunk, Markus and Striebel, Michael and Sch},
publisher = {Springer},
address = {Heidelberg},
author = {G{\"u}nther, Michael and Bartel, Andreas and Brunk, Markus and Striebel, Michael and Sch}
}
@Book { Gu12a,
title = {COMSON - a Marie Curie Research Training Network in Coupled Multiscale Simulation and Optimization in Nanoelectronics.},
year = {2012},
note = {in preparation},
editor = {G{\"u}nther, Michael},
publisher = {Springer},
address = {Heidelberg},
author = {G{\"u}nther, Michael}
}
@Book { Eh12a,
title = {Coupled Fluid Flow in Energy, Biology and Environmental Research.},
year = {2012},
volume = {2},
editor = {Ehrhardt,Matthias},
publisher = {Bentham Science Publishers Ltd},
series = {Progress in Computational Physics},
author = {Ehrhardt, Matthias}
}
@Inbook { Eh10c,
title = {An Introduction to Fluid-Porous Interface Coupling},
year = {2012},
number = {2},
editor = {Ehrhardt, Matthias},
publisher = {Bentham Science Publishers Ltd},
booktitle = {Coupled Fluid Flow in Energy, Biology and Environmental Research, Progress in Computational Physics},
author = {Ehrhardt, Matthias}
}
@Booklet { EhSaVi12b,
title = {Advanced Computational Engineering Special Issue of International Journal of Computer Mathematics of selected papers from these fields in Computational Mathematics and it's applications, presented at the International Conference on Mathematical Modelling},
year = {2012},
address = {Instituto Universitario de Matem},
author = {Ehrhardt, Matthias and S, Jodar}
}
@Booklet { EhSaVi12,
title = {Numerical Methods and Mathematical Modelling in Biology, Medicine and Social Sciences Special Issue of International Journal of Computer Mathematics of selected papers from these fields in Computational Mathematics and it's applications, presented at the},
year = {2012},
address = {Instituto Universitario de Matem},
author = {Ehrhardt, Matthias and S, Jodar}
}
@Inproceedings { HeBaEh12,
title = {An Introduction to Lattice-Boltzmann Methods},
year = {2012},
volume = {3},
editor = {M. Ehrhardt},
publisher = {Bentham Science Publishers Ltd},
booktitle = {Novel Trends in Lattice-Boltzmann Methods - Reactive Flow, Physicochemical Transport and Fluid-Structure Interaction, Progress in Computational Physics},
author = {Heubes, Daniel and Bartel, Andreas and Ehrhardt, Matthias}
}
@Inproceedings { Pu12b,
title = {Modelling and simulation of forced oscillators with random periods},
year = {2012},
volume = {16},
pages = {275-284},
editor = {Michielsen, B.; Poirier, J.-R},
publisher = {Springer},
address = {Berlin},
booktitle = {Scientific Computing in Electrical Engineering SCEE 2010. Mathematics in Industry .},
author = {Pulch, Roland}
}
@Inproceedings { Eh12,
title = {An Introduction to Fluid-Porous Interface Coupling},
year = {2012},
volume = {2},
editor = {M.Ehrhardt},
publisher = {Bentham Science Publishers Ltd},
booktitle = {Coupled Fluid Flow in Energy, Biology and Environmental Research, Progress in Computational Physics},
author = {Ehrhardt, Matthias}
}
@Inproceedings { BeEhSh12,
title = {Meshfree Methods in Option Pricing},
year = {2012},
volume = {1},
pages = {242-245},
booktitle = {Proceedings of the Mediterranean Conference on Embedded Computing, June 19-21, 2012, Bar},
author = {Belova, A. and Ehrhardt, Matthias and Shmidt, T.}
}
@Article { EhDr11,
title = {A high-order compact method for nonlinear Black-Scholes option pricing equations of American Options},
journal = {International Journal of Computational Mathematics},
year = {2011},
month = {9},
volume = {88},
number = {13},
pages = {2782-2797},
author = {Ehrhardt, Matthias and Dremkova, Ekaterina}
}
@Article { BrJu11,
title = {Self-heating in a coupled thermo-electric circuit-device model},
journal = {Journal of Computational Electronics},
year = {2011},
month = {6},
volume = {10},
number = {1-2},
pages = {163-178},
author = {Brunk, Markus and J{\"u}ngel, Ansgar}
}
@Article { StGuKnWa11,
title = {Accuracy of Symmetric Partitioned Runge-Kutta Methods for Differential Equations on Lie-Groups},
journal = {Proceedings in Sciene Lattice 2011},
year = {2011},
volume = {046},
pages = {arXiv:1112.4336 [hep-lat]},
note = {arxiv: 1112.4336 [hep-lat]},
booktitle = {Proceedings of Science Lattice 2011 - 046},
author = {Striebel, Michael and G{\"u}nther, Michael and Knechtli, F. and Wandelt, Michele}
}
@Article { Pu11c,
title = {Modelling and simulation of autonomous oscillators with random parameters},
journal = {Mathematics and Computers in Simulation},
year = {2011},
volume = {81},
pages = {1128-1143},
author = {Pulch, Roland}
}
@Article { Pu12a,
title = {Polynomial chaos for linear differential algebraic equations with random parameters},
journal = {International Journal of Uncertainty Quantification},
year = {2011},
volume = {1},
number = {3},
pages = {223-240},
author = {Pulch, Roland}
}
@Article { Pu11a,
title = {Polynomial chaos for linear differential algebraic equations with random parameters},
journal = {Int. J. Uncertainty Quantification},
year = {2011},
volume = {1},
number = {3},
pages = {223-240},
author = {Pulch, Roland}
}
@Article { Pu11b,
title = {Modelling and simulation of autonomous oscillators with random parameters},
journal = {Math. Comput. Simulat.},
year = {2011},
volume = {81},
pages = {1128-1143},
author = {Pulch, Roland}
}
@Article { MeEh11a,
title = {Efficient Numerical Valuation of Continuous Installment Options},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2011},
volume = {3},
number = {2},
pages = {141--164},
abstract = {In this work we investigate the novel Kryzhnyi method for the numerical inverse Laplace transformation and apply it to the pricing problem of continuous installment options. We compare the results with the one obtained using other classical methods for the inverse Laplace transformation, like the Euler summation method or the Gaver-Stehfest method.},
author = {Mezentsev, Anton and Pomelnikov, Anton and Ehrhardt, Matthias}
}
@Article { MePoEh11,
title = {Efficient Numerical Valuation of Continuous Installment Options},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2011},
volume = {3},
number = {2},
pages = {141-164},
author = {Mezent, A. and Ehrhardt, Matthias}
}
@Article { KlAnBeEh11,
title = {Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schr{\"o}dinger Equations with Unbounded Potentials and Nonlinearities},
journal = {Communications in Computational Physics},
year = {2011},
volume = {10},
number = {5},
pages = {1280-1304},
author = {Klein, P. and Antoine, X. and Besse, C. and Ehrhardt, Matthias}
}
@Article { DrEh11,
title = {A high-order compact method for nonlinear Black-Scholes option pricing equations of American Options},
journal = {International Journal for Computer Mathematics},
year = {2011},
volume = {88},
number = {13},
pages = {2782-2797},
author = {Dremkova, E. and Ehrhardt, Matthias}
}
@Article { Cl11,
title = {Decomposition and Regularization of Nonlinear Anisotropic Curl-Curl DAEs},
journal = {COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering},
year = {2011},
volume = {30},
number = {6},
pages = {1701 - 1714},
author = {Clemens, Markus and Sch{\"o}ps, Sebastian and De Gersem, Herbert and Bartel, Andreas}
}
@Book { Sc11,
title = {Multiscale Modeling and Multirate Time-Integration of Field/Circuit Coupled Problems},
year = {2011},
number = {398},
abstract = {This treatise is intended for mathematicians and computational engineers that work on modeling, coupling and simulation of electromagnetic problems. This includes lumped electric networks, magnetoquasistatic field and semiconductor devices. Their coupling yields a multiscale system of partial differential algebraic equations containing device models of any dimension interconnected by the electric network. It is solved in time domain by multirate techniques that efficiently exploit the structure. The central idea is the usage of lumped surrogate models that describe latent model parts sufficiently accurate (e.g. the field model by an inductance) even if other model parts (e.g. the circuit) exhibit highly dynamic behavior. We propose dynamic iteration and a bypassing technique using surrogate Schur complements. A mathematical convergence analysis is given and numerical examples are discussed. They show a clear reduction in the computational costs compared to single rate approaches.},
web_url = {http://elpub.bib.uni-wuppertal.de/edocs/dokumente/fbc/mathematik/diss2011/schoeps},
publisher = {VDI Verlag},
address = {D{\"u}sseldorf},
series = {Elektrotechnik},
ISBN = {978-3-18-339821-8},
author = {Sch{\"o}ps, Sebastian}
}
@Inbook { BeEh10,
title = {A New Method for Stress Testing on Investment Products.},
year = {2011},
pages = {223-238},
editor = {Wong, Michael C S},
publisher = {World Scientific Publishing},
booktitle = {The Risk of Investment Products: From Product Innovation to Risk Compliance},
author = {Beitz, M. and Ehrhardt, Matthias}
}
@Inproceedings { KlAnBeEh11,
title = {Absorbing boundary conditions for solving stationary Schr},
year = {2011},
publisher = {Springer},
address = {Heidelberg},
booktitle = {Proceedings of the 16th European Conference in Mathematics for Industry, July 26-30,2010, Wuppertal},
author = {Klein, P. and Antoine, X. and Besse, C. and Ehrhardt, Matthias}
}
@Inproceedings { ShEh11,
title = {Multistep Methods for Lattice QCD SSimulation},
year = {2011},
pages = {327-333},
booktitle = {Proceedings of LATTICE 2011 - XXIX International Symposium on Lattice Field Theory, July 10-16,2011, Squaw Valley},
author = {Shcherbakov, Dmitry and Ehrhardt, Matthias}
}
@Inproceedings { BeEh11,
title = {A New Method for Stress Testing on Investment Products},
year = {2011},
pages = {223-238},
editor = {Michael C S Wong},
publisher = {World Scientific Publishing},
booktitle = {The Risk of Investment Products: From Product Innovation to Risk Compliance},
author = {Beitz, M. and Ehrhardt, Matthias}
}
@Inproceedings { AlBaBrSc11,
title = {A convergent iteration scheme for semiconductor/circuit coupled problems},
year = {2011},
booktitle = {Scientific Computing in Electrical Engineering SCEE 2010},
author = {Ali, Guiseppe and Bartel, Andreas and Brunk, Markus and Sch{\"o}ps, Sebastian}
}
@Article { ScGeBa10,
title = {A co-simulation framework for multirate time-integration of field/circuit coupled problems},
journal = {IEEE Transactions on Magnetics},
year = {2010},
volume = {46},
pages = {3233 -- 3236},
web_url = {http://www2.math.uni-wuppertal.de/opt/preprints/preprints.html\#2010},
DOI = {10.1007/978-1-4020-5981-0_1},
author = {Sch{\"o}ps, Sebastian and De Gersem, Herbert and Bartel, Andreas}
}
@Article { Eh10d,
title = {Absorbing Boundary Conditions for Hyperbolic Systems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2010},
volume = {3},
number = {3},
pages = {295 -- 337},
author = {Ehrhardt, Matthias}
}
@Article { Eh10,
title = {Absorbing Boundary Conditions for Hyperbolic Systems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2010},
volume = {3},
pages = {295-337},
author = {Ehrhardt, Matthias}
}
@Article { BuRoWi10,
title = {Runge-Kutta Methods for \{SDE\}s with Small Noise},
journal = {SIAM Journal on Scientific Computing},
year = {2010},
volume = {4},
number = {32},
pages = {1789 -- 1808},
author = {Buckwar, E. and Roessler, A. and Winkler, Renate}
}
@Article { AlBaGu10,
title = {Existence and uniqueness for an elliptic PDAE model of integrated circuits},
journal = {SIAM Journal on Applied Mathamatics},
year = {2010},
volume = {70},
pages = {1587 -- 1610},
DOI = {10.1137/070702138},
author = {Ali, Guiseppe and Bartel, Andreas and G{\"u}nther, Michael}
}
@Book { EhKo10,
title = {Modern Mathematical Models and Numerical Techniques for Multiband Effective Mass Approximations},
year = {2010},
note = {in preparation},
publisher = {Nova Science Publishers},
address = {Hauppauge, NY 11788},
author = {Ehrhardt, Matthias and Koprucki, Th.}
}
@Book { Eh10b,
title = {Coupled Fluid Flow in Energy, Biology and Environmental Research, Progress in Computational Physics},
year = {2010},
number = {2},
publisher = {Bentham Science Publishers Ltd},
author = {Ehrhardt, Matthias}
}
@Book { Eh10a,
title = {Wave Propagation in Periodic Media - Analysis, Numerical Techniques and practical Applications, Progress in Computational Physics},
year = {2010},
number = {1},
publisher = {Bentham Science Publishers Ltd.},
author = {Ehrhardt, Matthias}
}
@Inbook { EhZh10,
title = {Fast numerical methods for the simulation of waves in periodic structures},
year = {2010},
number = {1},
pages = {135 -- 166},
editor = {Ehrhardt, Matthias},
publisher = {Bentham Science Publishers Ltd},
booktitle = {Wave Propagation in Periodic Media - Analysis, Numerical Techniques and practical Applications, Progress in Computational Physics},
author = {Ehrhardt, Matthias and Zheng, Chungxiong}
}
@Inproceedings { VeStMa10,
title = {Model \{O\}rder \{R\}eduction for \{N\}onlinear \{IC\} \{M\}odels with \{POD\}},
year = {2010},
volume = {14},
pages = {571--578},
editor = {Roos, Janne and Costa, Luis R. J.},
publisher = {Springer-Verlag, Berlin Heidelberg},
series = {Mathematics in \{I\}ndustry},
booktitle = {scientific \{c\}omputing in \{e\}lectrical \{e\}ngineering \{scee\} 2008},
organization = {The \{E\}uropean \{C\}onsortium for \{M\}athematics in \{I\}ndustry},
DOI = {10.1007/978-3-642-12294-1_70},
author = {Verhoeven, Arie and Striebel, Michael and ter Maten, E. Jan W.}
}
@Inproceedings { MoStMaPU10,
title = {Nonlinear model order reduction based on trajectory piecewise linear approach: comparing different linear cores},
year = {2010},
pages = {563 -- 570},
editor = {Roos, Janne and Costa, L.},
publisher = {Springer},
address = {Berlin},
series = {14},
booktitle = {Scientific Computing in Electrical Engineering. Mathematics in Industry},
DOI = {10.1007/978-3-642-12294-1_69},
author = {Mohaghegh, Kasra and Striebel, Michael and ter Maten, E. Jan W. and Pulch, Roland}
}
@Inproceedings { Pu10,
title = {Polynomial chaos for the computation of failure probabilities in periodic problems},
year = {2010},
pages = {191--198},
editor = {Roos, Janne and Costa, L.},
publisher = {Springer},
address = {Berlin},
series = {14},
booktitle = {Scientific Computing in Electrical Engineering. Mathematics in Industry},
DOI = {10.1007/978-3-642-12294-1_25},
author = {Pulch, Roland}
}
@Inproceedings { ScGeBa11,
title = {Multirate Time Integration of Field/Circuit Coupled Problems by \{S\}chur Complements},
year = {2010},
keywords = {Circuit, Coupling, DAE, FEM, Field, FIT, Multirate, Waveform Relaxation},
booktitle = {Scientific Computing in Electrical Engineering SCEE 2010},
author = {Sch{\"o}ps, Sebastian and Bartel, Andreas and De Gersem, Herbert}
}
@Inproceedings { ScBaGeGu10,
title = {DAE-index and convergence analysis of lumped electric circuits refined by 3-D magnetoquasistatic conductor models},
year = {2010},
pages = {341-- 348},
editor = {Roos, Janne and Costa, L.},
publisher = {Springer},
address = {Berlin},
series = {14},
booktitle = {Scientific Computing in Electrical Engineering. Mathematics in Industry},
DOI = {10.1007/978-3-642-12294-1},
author = {Sch{\"o}ps, Sebastian and Bartel, Andreas and De Gersem, Herbert and G{\"u}nther, Michael}
}
@Inproceedings { StGuBa10,
title = {Domain \{D\}ecomposition \{B\}ased \{M\}ultirating and its \{P\}erspective in \{C\}ircuit \{S\}imulation},
year = {2010},
volume = {15},
pages = {319--326},
editor = {Fitt, A. D. and Norbury, J. and Ockendon, H. and Wilson, E.},
publisher = {Springer-Verlag, Berlin Heidelberg},
series = {Mathematics in \{I\}ndustry},
booktitle = {progress in \{i\}ndustrial \{m\}athematics at \{ecmi\} 2008},
organization = {The \{E\}uropean \{C\}onsortium for \{M\}athematics in \{I\}ndustry},
DOI = {10.1007/978-3-642-12110-4_49},
author = {Striebel, Michael and Bartel, Andreas and G{\"u}nther, Michael}
}
@Inproceedings { BrJu08d,
title = {Heating of semiconductor devices in electric circuits},
year = {2010},
volume = {14},
pages = {261--272},
editor = {Roos, Janne and Costa, L.},
publisher = {Springer},
address = {Berlin},
series = {Mathematics in Industry},
booktitle = {Scientific Computing in Electrical Engineering - SCEE 2008.},
DOI = {10.1007/978-3-642-12294-1_34},
author = {Brunk, Markus and J{\"u}ngel, Ansgar}
}
@Inproceedings { AlMaPu10,
title = {Hyperbolic \{PDAE\}s for semiconductor devices coupled with circuits},
year = {2010},
pages = {305--312},
editor = {Roos, Janne and Costa, L.},
publisher = {Springer},
address = {Berlin},
series = {14},
booktitle = {Scientific Computing in Electrical Engineering. Mathematics in Industry},
DOI = {0.1007/978-3-642-12294-1_39},
author = {Ali, Guiseppe and Mascali, Giovanni and Pulch, Roland}
}
@Article { PuEm09,
title = {Polynomial chaos for simulating random volatilities},
journal = {Mathematics and Computers in Simulation},
year = {2009},
volume = {80},
number = {2},
pages = {245 -- 255},
DOI = {10.1016/j.matcom.2009.05.008},
author = {Pulch, Roland and van Emmerich, Cathrin}
}
@Article { Pu09b,
title = {Polynomial chaos for multirate partial differential algebraic equations with random parameters},
journal = {Applied Numerical Mathematics},
year = {2009},
volume = {59},
number = {10},
pages = {2610 -- 2624},
DOI = {10.1016/j.apnum.2009.05.015},
author = {Pulch, Roland}
}
@Article { GlEhDiHeGrNa09,
title = {A three stepped coordinated Level Set Segmentation Method for Identifying atherosclerotic plaques on \{MR\}-images},
journal = {Communications in Numerical Methods in Engineering},
year = {2009},
volume = {25},
number = {6},
pages = {615 -- 638},
DOI = {10.1002/cnm.1213},
author = {Gloger, Oliver and Ehrhardt, Matthias and Dietrich, Thore and Hellwich, Olaf and Graf, Kristof and Nagel, Eike}
}
@Article { EhSuZh09,
title = {Evaluation of scattering operators for semi-infinite periodic arrays},
journal = {Communications in Mathematical Sciences},
year = {2009},
volume = {7},
number = {2},
pages = {347 -- 364},
author = {Ehrhardt, Matthias and Sun, Jiguang and Zheng, Chungxiong}
}
@Article { EhHaZh09,
title = {Numerical simulation of waves in periodic structures},
journal = {Communications in Computational Physics},
year = {2009},
volume = {5},
number = {5},
pages = {849 -- 870},
author = {Ehrhardt, Matthias and Han, Houde and Zheng, Chungxiong}
}
@Article { BaKnPU09,
title = {Wavelet-based adaptive grids for multirate partial differential-algebraic equations},
journal = {Applied Numerical Mathematics},
year = {2009},
volume = {59},
number = {3--4},
pages = {495 -- 506},
DOI = {10.1016/j.apnum.2008.03.003},
author = {Bartel, Andreas and Knorr, Stephanie and Pulch, Roland}
}
@Article { SuEh09,
title = {Comparison of the continuous, semi-discrete and fully-discrete transparent boundary conditions (\{TBC\}) for the parabolic wave equation 1. Theory},
journal = {Journal of Electrical Engineering},
year = {2009},
volume = {60},
number = {2},
pages = {301 -- 312},
author = {Šumichrast, Lubomir and Ehrhardt, Matthias}
}
@Inbook { DaEhTrLe09,
title = {On the numerical solution of some problems of environmental pollution},
year = {2009},
pages = {199 -- 228},
editor = {Robinson, P. and Gallo, R.},
publisher = {Nova Science Publishers},
address = {Hauppauge, NY 11788},
booktitle = {Environmental Chemistry Research Progress},
author = {Dang, Quang A and Ehrhardt, Matthias and Tran, Gia Lich and Le, Duc}
}
@Inbook { ArEhSc09,
title = {Numerical Simulation of Quantum Waveguides},
year = {2009},
pages = {115 -- 137},
editor = {Watanabe, K.},
publisher = {Nova Science Publishers},
address = {Hauppauge, NY 11788},
booktitle = {VLSI and Computer Architecture},
author = {Arnold, Anton and Ehrhardt, Matthias and Schulte, Maike}
}
@Inproceedings { MoPuStMa09,
title = {Model order reduction for semi-explicit systems of differential algebraic equations},
year = {2009},
number = {35},
note = {ARGESIM Report},
editor = {Troch, I. and Breitenecker, F.},
booktitle = {Proceedings MATHMOD 09 Vienna},
author = {Mohaghegh, Kasra and Pulch, Roland and Striebel, Michael and ter Maten, E. Jan W.}
}
@Inproceedings { Pu09,
title = {Polynomial chaos expansions for analysing oscillators with uncertainties},
year = {2009},
number = {35},
note = {ARGESIM Report},
editor = {Troch, I.},
booktitle = {Proceedings MATHMOD 09 Vienna},
DOI = {10.1016/j.jsv.2010.03.020},
author = {Pulch, Roland}
}
@Inproceedings { EhFuHoLi08,
title = {Mathematical Modeling of Channel - Porous Layer Interfaces in PEM Fuel Cells},
year = {2008},
month = {12},
booktitle = {Proceedings of FDFC2008 - Fundamentals and Developments of Fuel Cell Conference 2008},
organization = {Proceedings of FDFC2008 - Fundamentals and Developments of Fuel Cell Conference 2008},
author = {Ehrhardt, Matthias and Fuhrmann, J{\"u}rgen and Holzbecher, Ekkehard and Linke, Alexander}
}
@Article { ZiEh08,
title = {Discrete artificial boundary conditions for nonlinear \{S\}chr{\"o}dinger equations},
journal = {Mathematical and Computer Modelling},
year = {2008},
volume = {47},
number = {11 -- 12},
pages = {1264 -- 1283},
DOI = {10.1016/j.mcm.2007.07.007},
author = {Zisowsky, Andrea and Ehrhardt, Matthias}
}
@Article { Pu08a,
title = {Variational methods for solving warped multirate partial differential algebraic equations},
journal = {SIAM Journal on Scientific Computing},
year = {2008},
volume = {31},
number = {2},
pages = {1016 -- 1034},
DOI = {10.1137/050638886},
author = {Pulch, Roland}
}
@Article { Pu08b,
title = {Initial-boundary value problems of warped MPDAEs including minimisation criteria},
journal = {Mathematics and Computers in Simulation},
year = {2008},
volume = {79},
pages = {117 -- 132},
DOI = {10.1016/j.matcom.2007.10.006},
author = {Pulch, Roland}
}
@Article { EhZh08,
title = {Exact artificial boundary conditions for problems with periodic structures},
journal = {Journal of Computational Physics},
year = {2008},
volume = {227},
number = {14},
pages = {6877 -- 6894},
DOI = {10.1016/j.jcp.2008.03.042},
author = {Ehrhardt, Matthias and Zheng, Chungxiong}
}
@Article { EhMi08b,
title = {A fast, stable and accurate numerical method for the Black-Scholes equation of American options},
journal = {International Journal of Theoretical and Applied Finance},
year = {2008},
volume = {11},
number = {5},
pages = {471 -- 501},
author = {Ehrhardt, Matthias and Mickens, Ronald E.}
}
@Article { EhMi08,
title = {Discrete Models for the Cube-Root Differential Equation},
journal = {Neural, Parallel, and Scientific Computations},
year = {2008},
volume = {16},
number = {2},
pages = {179 -- 188},
author = {Ehrhardt, Matthias and Mickens, Ronald E.}
}
@Article { Eh08c,
title = {Discrete Transparent Boundary Conditions for \{S\}chr{\"o}dinger-type equations for non-compactly supported initial data},
journal = {Applied Numerical Mathematics},
year = {2008},
volume = {58},
number = {8},
pages = {660 -- 673},
DOI = {10.1016/j.apnum.2007.02.002},
author = {Ehrhardt, Matthias}
}
@Article { BrJu08b,
title = {Numerical Coupling of Electric Circuit Equations and Energy-Transport Models for Semiconductors},
journal = {SIAM Journal on Scientific Computing},
year = {2008},
volume = {30},
pages = {873 - 894},
DOI = {10.1137/070681430},
author = {Brunk, Markus and J{\"u}ngel, Ansgar}
}
@Article { BrJu08a,
title = {Simulation of thermal effects in optoelectronic devices using coupled energy-transport and circuit models},
journal = {Mathematical Models and Methods in Applied Sciences (M3AS)},
year = {2008},
volume = {18},
pages = {2125 - 2150},
DOI = {10.1142/s0218202508003315},
author = {Brunk, Markus and J{\"u}ngel, Ansgar}
}
@Article { BrEhFa08,
title = {A discrete \{A\}domian decomposition method for discrete nonlinear \{S\}chr{\"o}dinger equations},
journal = {Journal of Computational and Applied Mathematics},
year = {2008},
volume = {197},
number = {1},
pages = {190 -- 205},
DOI = {10.1016/j.amc.2007.07.055},
author = {Bratsos, Athanassios G. and Ehrhardt, Matthias and Famelis, Ioannis Th.}
}
@Article { AnArBeEhSc08,
title = {A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear \{S\}chr{\"o}dinger Equations},
journal = {Communications in Computational Physics},
year = {2008},
volume = {4},
number = {8},
pages = {729 -- 796},
author = {Antoine, Xavier and Arnold, Anton and Besse, Christophe and Ehrhardt, Matthias and Sch{\"a}dle, Achim}
}
@Article { AnEh08,
title = {On the numerical solution of nonlinear \{B\}lack-\{S\}choles equations},
journal = {Computers \& Mathematics with Applications},
year = {2008},
volume = {56},
number = {3},
pages = {799 -- 812},
DOI = {10.1016/j.camwa.2008.02.005},
author = {Ankudinova, Julia and Ehrhardt, Matthias}
}
@Book { Eh08,
title = {Nonlinear Models in Mathematical Finance: New Research Trends in Option Pricing},
year = {2008},
publisher = {Nova Science Publishers},
address = {Hauppauge, NY 11788},
author = {Ehrhardt, Matthias}
}
@Inbook { Pu08c,
title = {Transformation qualities of warped multirate partial differential algebraic equations},
year = {2008},
pages = {27 -- 42},
editor = {Breitner, M.; Denk, G.; Rentrop, P.},
publisher = {Springer},
address = {Berlin},
booktitle = {From Nano to Space - Applied Mathematics Inspired by Roland Bulirsch},
DOI = {10.1007/978-3-540-74238-8_4},
author = {Pulch, Roland}
}
@Inbook { KnPuGu08,
title = {Wavelet-collocation of multirate PDAEs for the simulation of radio frequency circuits},
year = {2008},
pages = {19 -- 28},
editor = {J{\"a}ger, W.},
publisher = {Springer},
address = {Berlin},
booktitle = {Mathematics - Key Technology for the Future - Joint Projects between Universities and Industry 2004 -- 2007},
DOI = {10.1007/978-3-540-77203-3_3},
author = {Knorr, Stephanie and Pulch, Roland and G{\"u}nther, Michael}
}
@Inbook { KaGu08,
title = {Complete the correlation matrix},
year = {2008},
pages = {229 -- 244},
editor = {Breitner, M. and Denk, G.},
publisher = {Springer},
address = {Berlin},
booktitle = {From Nano to Space - Applied Mathematics Inspired by Roland Bulirsch},
DOI = {10.1007/978-3-540-74238-8_17},
author = {Kahl, Christian and G{\"u}nther, Michael}
}
@Inbook { EhAn08,
title = {Fixed domain transformations and split-step finite difference schemes for Nonlinear Black-Scholes equations for American Options},
year = {2008},
pages = {243 -- 273},
editor = {Ehrhardt, Matthias},
publisher = {Nova Science Publishers},
address = {Hauppauge, NY 11788},
booktitle = {Nonlinear Models in Mathematical Finance: New Research Trends in Option Pricing},
author = {Ehrhardt, Matthias and Ankudinova, Julia}
}
@Inbook { Eh08b,
title = {Nonlinear Models in Option Pricing - an Introduction, Preface},
year = {2008},
pages = {1 -- 19},
editor = {Ehrhardt, Matthias},
publisher = {Nova Science Publishers},
address = {Hauppauge, NY 11788},
booktitle = {Nonlinear Models in Mathematical Finance: New Research Trends in Option Pricing},
author = {Ehrhardt, Matthias}
}
@Inbook { BrJu08c,
title = {Numerical simulation of thermal effects in coupled optoelectronic device- circuit systems},
year = {2008},
pages = {29 - 38},
editor = {J{\"a}ger, W. and Krebs, H. J.},
publisher = {Springer},
address = {Berlin},
booktitle = {Mathematics - Key Technology for the Future},
author = {Brunk, Markus and J{\"u}ngel, Ansgar}
}
@Inproceedings { Pu08,
title = {Polynomial chaos for analysing periodic processes of differential algebraic equations},
year = {2008},
number = {8},
pages = {10069 -- 10072},
booktitle = {Proceedings in Applied Mathematics and Mechanics},
DOI = {10.1002/pamm.200810069},
author = {Pulch, Roland}
}
@Inproceedings { FaEhBr07,
title = {A discrete \{A\}domian decomposition method for the discrete nonlinear \{S\}chr{\"o}dinger equation},
year = {2007},
month = {9},
booktitle = {Proceedings of HERCMA 2007 - The 8th Hellenic European Research on Computer Mathematics \& its Applications Conference},
organization = {Proceedings of HERCMA 2007 - The 8th Hellenic European Research on Computer Mathematics \textbackslash\& its Applications Conference},
DOI = {10.1016/j.amc.2007.07.055},
author = {Famelis, Ioannis Th. and Ehrhardt, Matthias and Bratsos, Athanassios G.}
}
@Inproceedings { SuEh07b,
title = {Continuous, semi-discrete and fully-discrete formulation of the transparent boundary conditions for the beam propagation method},
year = {2007},
month = {9},
pages = {139 -- 152},
booktitle = {Proceedings of Advanced Aspects of Theoretical Electrical Engineering},
organization = {Proceedings of Advanced Aspects of Theoretical Electrical Engineering},
author = {Šumichrast, Lubomir and Ehrhardt, Matthias}
}
@Inproceedings { SuEh07,
title = {On the three formulations of transparent boundaries for the beam propagation method},
year = {2007},
month = {9},
booktitle = {Proceedings of AMTEE 2007 - Advanced Methods of the Theory of Electrical Engineering (Applied to Power Systems)},
organization = {Proceedings of AMTEE 2007 - Advanced Methods of the Theory of Electrical Engineering (Applied to Power Systems)},
author = {Šumichrast, Lubomir and Ehrhardt, Matthias}
}
@Article { PuGuKn07,
title = {Multirate partial differential algebraic equations for simulating radio frequency signals},
journal = {European Journal of Applied Mathematics},
year = {2007},
volume = {18},
pages = {709 -- 743},
DOI = {10.1017/s0956792507007188},
author = {Pulch, Roland and G{\"u}nther, Michael and Knorr, Stephanie}
}
@Article { Pu07,
title = {Multidimensional models for analysing frequency modulated signals},
journal = {Mathematical and Computer Modelling of Dynamical Systems},
year = {2007},
volume = {13},
number = {4},
pages = {315 -- 330},
DOI = {10.1080/13873950600994506},
author = {Pulch, Roland}
}
@Article { AnArBeEhSc07,
title = {A Review of Artificial Boundary Conditions for the \{S\}chr{\"o}dinger Equation},
journal = {Communications in Computational Physics},
year = {2007},
volume = {7},
number = {1},
pages = {729-796},
organization = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
DOI = {10.1002/pamm.200700012},
author = {Antoine, Xavier and Sch{\"a}dle, Achim}
}
@Book { Kn07,
title = {Wavelet-Based Simulation of Multirate Partial Differential-Algebraic Systems in Radio Frequency Applications},
year = {2007},
number = {408},
publisher = {VDI-Verlag},
address = {D{\"u}sseldorf},
series = {Fortschritt-Berichte VDI Reihe 20},
DOI = {10.1016/j.apnum.2008.03.003},
author = {Knorr, Stephanie}
}
@Book { Ka07,
title = {Modelling and Simulation of Stochastic Volatility in Finance},
year = {2007},
note = {, Boca Raton},
publisher = {Disssertation.com},
address = {Florida, USA},
author = {Kahl, Christian}
}
@Inbook { DaEhTrLe07,
title = {On the numerical solution of some problems of environmental pollution},
year = {2007},
pages = {171 -- 200},
editor = {Bodine, C. B.},
publisher = {Nova Science Publishers},
address = {Hauppauge, NY 11788},
booktitle = {Air Pollution Research Advances},
author = {Dang, Quang A and Ehrhardt, Matthias and Tran, Gia Lich and Le, Duc}
}
@Booklet { BrJu07,
title = {Mathematik - Grips f{\"u}r Chips: Numerische Kopplung von elektrischen Netzwerken mit W{\"a}rmeleitungs- und Halbleitermodellen},
year = {2007},
booktitle = {Der Schl{\"u}ssel zur Hochtechnologie - Mathematik f{\"u}r Innovationen in Industrie und Dienstleistungen},
author = {Brunk, Markus and J{\"u}ngel, Ansgar}
}
@Inproceedings { VoPuMaGu07,
title = {Trajectory piecewise linear approach for nonlinear differential-algebraic equations in circuit simulation},
year = {2007},
number = {11},
pages = {167 -- 174},
editor = {Ciuprina, G.},
publisher = {Springer},
address = {Berlin},
booktitle = {Scientific Computing in Electrical Engineering. Mathematics in Industry},
DOI = {10.1007/978-3-540-71980-9_16},
author = {Vo{\ss}, Thomas and Pulch, Roland and ter Maten, E. Jan W. and El Guennouni, A}
}
@Inproceedings { StGu07,
title = {Hierarchical mixed multirating in circuit simulation},
year = {2007},
number = {11},
pages = {221 -- 228},
editor = {Ciuprina, G.},
publisher = {Springer},
address = {Berlin},
booktitle = {Scientific Computing in Electrical Engineering. Mathematics in Industry},
DOI = {10.1007/978-3-540-71980-9_23},
author = {Striebel, Michael and G{\"u}nther, Michael}
}
@Inproceedings { GrPu07,
title = {Simulation of quasiperiodic signals via warped MPDAEs using Houben's approach},
year = {2007},
number = {11},
pages = {237 -- 243},
editor = {Ciuprina, G.},
publisher = {Springer},
address = {Berlin},
booktitle = {Scientific Computing in Electrical Engineering. Mathematics in Industry},
author = {Greb, Julia and Pulch, Roland}
}
@Inproceedings { Pu07a,
title = {\{M\}ultirate models for simulating a \{C\}olpitts oscillator.},
year = {2007},
number = {7},
pages = {4050021 -- 4050022},
booktitle = {Proceedings in Applied Mathematics and Mechanics},
DOI = {10.1002/pamm.200700785},
author = {Pulch, Roland}
}
@Inproceedings { BaPu07,
title = {A concept for classification of partial differential algebraic equations in nanoelectronics},
year = {2007},
number = {12},
pages = {506-511},
editor = {Bonilla, L. L. and Moscoso, M.},
publisher = {Springer},
address = {Berlin},
booktitle = {Progress in Industrial Mathematics at ECMI 2006. Mathematics in Industry},
DOI = {10.1007/978-3-540-71992-2_79},
author = {Bartel, Andreas and Pulch, Roland}
}
@Inproceedings { AlCuMi07,
title = {Domain decomposition techniques for microelectronic modeling},
year = {2007},
number = {12},
pages = {500 -- 505},
editor = {Bonilla, L. L. and Moscoso, M. and Platero, G. and Vega, J. M.},
publisher = {Springer},
address = {Berlin},
booktitle = {Progress in Industrial Mathematics at ECMI 2006. Mathematics in Industry},
DOI = {10.1007/978-3-540-71992-2_78},
author = {Ali, Guiseppe and Culpo, Massimiliano and Micheletti, Stefano}
}
@Article { ZiEh06c,
title = {Fast Calculation of Energy and Mass preserving solutions of \{S\}chr{\"o}dinger-\{P\}oisson systems on unbounded domains},
journal = {Journal of Computational and Applied Mathematics},
year = {2006},
volume = {187},
number = {1},
pages = {1 -- 28},
DOI = {10.1016/j.cam.2005.03.026},
author = {Zisowsky, Andrea and Ehrhardt, Matthias}
}
@Article { ZiEh06b,
title = {Discrete Transparent Boundary Conditions for Parabolic Systems},
journal = {Computational Mathematics and Modeling},
year = {2006},
volume = {43},
number = {3 -- 4},
pages = {294 -- 309},
DOI = {10.1016/j.mcm.2005.08.011},
author = {Zisowsky, Andrea and Ehrhardt, Matthias}
}
@Article { KaJa06,
title = {Not-so-complex logarithms in the Heston model},
journal = {WILLMOTT magazine},
year = {2006},
pages = {94--103},
note = {Wilmott, September 2005},
author = {Kahl, Christian and J{\"a}ckel, Peter}
}
@Article { EhZi06,
title = {Discrete non-local boundary conditions for Split-Step Pad\textbackslash´e Approximations of the One-Way \{H\}elmholtz Equation},
journal = {Journal of Computational and Applied Mathematics},
year = {2006},
volume = {220},
number = {2},
pages = {471 -- 490},
DOI = {10.1016/j.cam.2006.01.001},
author = {Ehrhardt, Matthias and Zisowsky, Andrea}
}
@Article { QuEh06,
title = {Adequate Numerical Solution of Air Pollution problems by Positive Difference schemes on unbounded domains},
journal = {Computational Mathematics and Modeling},
year = {2006},
volume = {44},
number = {9 -- 10},
pages = {834 -- 856},
DOI = {10.1016/j.mcm.2006.02.016},
author = {Dang, Quang A and Ehrhardt, Matthias}
}
@Article { Br06,
title = {Numerical simulation of thermal effects in electric circuits via energy-transport equations},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2006},
volume = {6},
number = {1},
pages = {47 - 50},
DOI = {10.1002/pamm.200610013},
author = {Brunk, Markus}
}
@Book { St06,
title = {Hierarchical \{M\}ixed \{M\}ultirating for \{D\}istributed \{I\}ntegration of \{DAE\} \{N\}etwork \{E\}quations in \{C\}hip \{D\}esign},
year = {2006},
number = {404},
publisher = {VDI},
series = {Fortschritt-\{B\}erichte VDI Reihe 20},
author = {Striebel, Michael}
}
@Inproceedings { KnFe06,
title = {Simulation of pulsed signals in MPDAE-modelled SC-circuits},
year = {2006},
number = {8},
pages = {159 -- 163},
editor = {Di Bucchianico, A. and Mattheij, Robert and Peletier, M. A.},
publisher = {Springer},
address = {Berlin},
booktitle = {Progress in Industrial Mathematics at ECMI 2004. Mathematics in Industry},
DOI = {10.1007/3-540-28073-1},
author = {Knorr, Stephanie and Feldmann, Uwe}
}
@Inproceedings { KnGu06,
title = {Index analysis of multirate partial differential-algebraic systems in RF-circuits},
year = {2006},
number = {9},
pages = {93 -- 100},
editor = {Anile, A. M. and Ali, Guiseppe and Mascali, Giovanni},
publisher = {Springer},
address = {Berlin},
booktitle = {Scientific Computing in Electrical Engineering. Mathematics in Industry},
DOI = {10.1007/978-3-540-32862-9_14},
author = {Knorr, Stephanie and G{\"u}nther, Michael}
}
@Inproceedings { Pu06b,
title = {Semidiscretisation methods for warped MPDAEs},
year = {2006},
number = {9},
pages = {101 -- 106},
editor = {Anile, A. M. and Ali, Guiseppe and Mascali, Giovanni},
publisher = {Springer},
address = {Berlin},
booktitle = {Scientific Computing in Electrical Engineering. Mathematics in Industry},
DOI = {10.1007/978-3-540-32862-9_15},
author = {Pulch, Roland}
}
@Inproceedings { Pu06a,
title = {Warped MPDAE models with continuous phase conditions},
year = {2006},
number = {8},
pages = {179 -- 183},
editor = {Di Bucchianico, A. and Mattheij, Robert and Peletier, M. A.},
publisher = {Springer},
address = {Berlin},
booktitle = {Progress in Industrial Mathematics at ECMI 2004. Mathematics in Industry},
DOI = {10.1007/3-540-28073-1_24},
author = {Pulch, Roland}
}
@Inproceedings { StGu06,
title = {Multirate \{M\}ethods in \{C\}hip \{D\}esign: \{I\}nterface \{T\}reatment and \{M\}ulti \{D\}omain \{E\}xtensions},
year = {2006},
volume = {9},
pages = {129--136},
editor = {Anile, A. M. and Ali, Guiseppe and Mascali, Giovanni},
publisher = {Springer-Verlag, Berlin},
series = {Mathematics in \{I\}ndustry},
booktitle = {Scientific \{C\}omputing in \{E\}lectrical \{E\}ngineering \{SCEE\} 2004},
organization = {The \{E\}uropean \{C\}onsortium for \{M\}athematics in \{I\}ndustry},
DOI = {10.1007/978-3-540-32862-9_19},
author = {Striebel, Michael and G{\"u}nther, Michael}
}
@Inproceedings { Striebel2006,
title = {Multirate methods in chip design: interface treatment and multi domain extension},
year = {2006},
number = {9},
pages = {129 -- 136},
editor = {Anile, A. M. and Ali, Guiseppe and Mascali, Giovanni},
publisher = {Springer},
address = {Berlin},
booktitle = {Scientific Computing in Electrical Engineering. Mathematics in Industry},
DOI = {10.1007/978-3-540-32862-9_19},
author = {Striebel, Michael and G{\"u}nther, Michael}
}
@Inproceedings { EhZi06b,
title = {Nonlocal Boundary Conditions for Higher-Order Parabolic Equations},
year = {2006},
volume = {6},
number = {1},
pages = {733 -- 734},
booktitle = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
DOI = {10.1002/pamm.200610347},
author = {Ehrhardt, Matthias and Zisowsky, Andrea}
}
@Inproceedings { BrJu07b,
title = {Numerical Coupling of Electric Circuit Equations with the Transient Energy-Transport Equations for Semiconductors},
year = {2006},
volume = {1},
editor = {Puccio, Luigia},
booktitle = {Communications to SIMAI Congress},
DOI = {10.1685 / CSC06029},
author = {Brunk, Markus and J{\"u}ngel, Ansgar}
}
@Inproceedings { BaFe06,
title = {Modeling and simulation for thermal-electric coupling in an SOI-circuit},
year = {2006},
number = {9},
pages = {27 -- 32},
editor = {Anile, A. M. and Ali, Guiseppe and Mascali, Giovanni},
publisher = {Springer},
address = {Berlin},
booktitle = {Scientific Computing in Electrical Engineering. Mathematics in Industry},
DOI = {10.1007/978-3-540-32862-9_4},
author = {Bartel, Andreas and Feldmann, Uwe}
}
@Article { ZiArEhKo05,
title = {Discrete Transparent Boundary Conditions for transient kp-\{S\}chr{\"o}dinger Equations with Application to Quantum-Heterostructures},
journal = {Journal of Applied Mathematics and Mechanics (ZAMM)},
year = {2005},
volume = {85},
number = {11},
pages = {793 -- 805},
DOI = {10.1002/zamm.200510231},
author = {Zisowsky, Andrea and Arnold, Anton and Ehrhardt, Matthias and Koprucki, Th.}
}
@Article { StGu05b,
title = {A charge oriented mixed multirate method for a special class of index-1 network equations in chip design},
journal = {Appl. Numer. Math.},
year = {2005},
volume = {53},
number = {2--4},
pages = {489--507},
DOI = {10.1016/j.apnum.2004.08.006},
author = {Striebel, Michael and G{\"u}nther, Michael}
}
@Article { StGu05,
title = {A charge oriented mixed multirate method for a special class of index-1 network equations in chip design},
journal = {Applied Numerical Mathematics},
year = {2005},
volume = {53},
number = {2 -- 4},
pages = {489 -- 507},
DOI = {10.1016/j.apnum.2004.08.006},
author = {Striebel, Michael and G{\"u}nther, Michael}
}
@Article { StBaGu05,
title = {A multirate ROW-scheme for index-1 network equations},
journal = {Appl. Numer. Math.},
year = {2005},
volume = {59},
number = {3--4},
pages = {800--814},
DOI = {10.1016/j.apnum.2008.03.014},
author = {Striebel, Michael and Bartel, Andreas and G{\"u}nther, Michael}
}
@Article { Pu05a,
title = {Multi time scale differential equations for simulating frequency modulated signals},
journal = {Applied Numerical Mathematics},
year = {2005},
volume = {53},
number = {2--4},
pages = {421 -- 436},
DOI = {10.1016/j.apnum.2004.08.013},
author = {Pulch, Roland}
}
@Article { AlBaGu05,
title = {Parabolic differential-algebraic models in electric network design},
journal = {Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal},
year = {2005},
volume = {4},
number = {3},
pages = {813 -- 838},
author = {Ali, Guiseppe and Bartel, Andreas and G{\"u}nther, Michael}
}
@Inbook { GuFeMa05,
title = {Modeling and discretization of circuit problems},
year = {2005},
pages = {523 -- 659},
editor = {Schilders, W. H. A. and ter Maten, E. Jan W.},
publisher = {Elsevier North Holland},
address = {Amsterdam},
booktitle = {Handbook of Numerical Analysis. Special Volume Numerical Analysis of Electromagnetism},
DOI = {10.1016/s1570-8659(04)13006-8},
author = {G{\"u}nther, Michael and Feldmann, Uwe and ter Maten, E. Jan W.}
}
@Inbook { Eh05,
title = {Finite Difference Schemes on unbounded Domains},
year = {2005},
number = {2},
pages = {343 -- 384},
editor = {Mickens, Ronald E.},
publisher = {World Scientific},
booktitle = {Applications of Nonstandard Finite Difference Schemes},
author = {Ehrhardt, Matthias}
}
@Inproceedings { Pu05b,
title = {Warped MPDAE models including minimisation criteria for the simulation of RF signals},
year = {2005},
number = {5},
pages = {811 -- 814},
booktitle = {Proceedings in Applied Mathematics and Mechanics},
DOI = {10.1002/pamm.200510378},
author = {Pulch, Roland}
}
@Inproceedings { EhAr04,
title = {Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations: Fast Calculation and Approximation},
year = {2004},
month = {7},
pages = {9 -- 14},
booktitle = {Proceedings of the Seventh European Conference on Underwater Acoustics},
organization = {Proceedings of the Seventh European Conference on Underwater Acoustics},
author = {Ehrhardt, Matthias and Arnold, Anton}
}
@Article { EhMi04,
title = {Solutions to the Discrete \{A\}iry Equation: Application to Parabolic Equation Calculations},
journal = {Journal of Computational and Applied Mathematics},
year = {2004},
volume = {172},
number = {1},
pages = {183 -- 206},
DOI = {10.1016/j.cam.2004.02.011},
author = {Ehrhardt, Matthias and Mickens, Ronald E.}
}
@Book { Pu04b,
title = {PDAE Methoden zur numerischen Simulation quasiperiodischer Grenzzyklen von Oszillatorschaltungen},
year = {2004},
number = {380},
note = {ISBN 3-18-3 38020-X},
publisher = {VDI-Verlag},
address = {D},
series = {20},
author = {Pulch, Roland}
}
@Book { Ba04,
title = {Partial Differential-Algebraic Models in Chip Design - Thermal and Semiconductor Problems. Fortschritt-Berichte VDI},
year = {2004},
number = {391},
publisher = {VDI-Verlag},
address = {D{\"u}sseldorf},
series = {20},
author = {Bartel, Andreas}
}
@Inproceedings { Pu04,
title = {Numerical techniques for solving multirate partial differential algebraic equations},
year = {2004},
pages = {337 -- 344.},
editor = {Schilders, W. H. A. and ter Maten, E. Jan W. and Houben, S. H. M. J.},
publisher = {Springer},
address = {Berlin},
booktitle = {Scientific Computing in Electrical Engineering. Mathematics in Industry},
author = {Pulch, Roland}
}
@Inproceedings { Gu04,
title = {Preconditioned splitting in dynamic iteration schemes for coupled DAE systems in RC network design},
year = {2004},
pages = {173 -- 177},
editor = {Buikis, A. and Ciegis, R. and Fitt, A. D.},
publisher = {Springer},
address = {Berlin},
booktitle = {Progress in Industrial Mathematics at ECMI 2002},
author = {G{\"u}nther, Michael}
}
@Inproceedings { BaGu04,
title = {Multirate co-simulation of first order thermal models in electric circuit design},
year = {2004},
pages = {104 -- 111},
editor = {Schilders, W. H. A. and ter Maten, E. Jan W. and Houben, S. H. M. J.},
publisher = {Springer},
address = {Berlin},
booktitle = {Scientific Computing in Electrical Engineering. Mathematics in Industry},
author = {Bartel, Andreas and G{\"u}nther, Michael}
}
@Inproceedings { AlBa04,
title = {A priori estimates for multiphysics models in electric circuit design},
year = {2004},
pages = {167 -- 171},
editor = {Buikis, A. and Ciegis, R. and Fitt, A. D.},
publisher = {Springer},
address = {Berlin},
booktitle = {Progress in Industrial Mathematics at ECMI 2002},
author = {Ali, Guiseppe and Bartel, Andreas}
}
@Inproceedings { ArEhSo03b,
title = {Approximation and fast calculation of non-local boundary conditions for the time-dependent \{S\}chr{\"o}dinger equation},
year = {2003},
month = {7},
editor = {Kornhuber, R. and Hoppe, R. H. W. and Keyes, D. E. and Priaux, J. and Pironneau, O. and Xu, J.},
booktitle = {Proceedings of the 15th International Conference on Domain Decomposition Methods},
organization = {Proceedings of the 15th International Conference on Domain Decomposition Methods},
DOI = {10.1.1.45.8571},
author = {Arnold, Anton and Ehrhardt, Matthias and Sofronov, Ivan}
}
@Article { Pu03a,
title = {Finite difference methods for multi time scale differential algebraic equations},
journal = {\{Z\}eitschrift f{\"u}r Angewandte \{M\}athematik und \{M\}echanik},
year = {2003},
volume = {83},
number = {9},
pages = {571 -- 583},
DOI = {10.1002/zamm.200310042},
author = {Pulch, Roland}
}
@Article { Gu03a,
title = {Dynamic iteration may fail for partitioned network simulation},
journal = {Proceedings in Applied Mathematics and Mechanics},
year = {2003},
volume = {2},
number = {1},
pages = {499 -- 502},
DOI = {10.1002/pamm.200310232},
author = {G{\"u}nther, Michael}
}
@Article { BaGu03,
title = {From \{SOI\} to abstract electric-thermal-1D multiscale modeling for first order thermal effects},
journal = {Mathematical and Computer Modelling of Dynamical Systems},
year = {2003},
volume = {9},
number = {1},
pages = {25 -- 44},
DOI = {10.1076/mcmd.9.1.25.16517},
author = {Bartel, Andreas and G{\"u}nther, Michael}
}
@Article { ArEhSo03,
title = {Discrete transparent boundary conditions for the \{S\}chr{\"o}dinger equation: Fast calculation, approximation, and stability},
journal = {Communications in Mathematical Sciences},
year = {2003},
volume = {1},
number = {3},
pages = {501 -- 556},
author = {Arnold, Anton and Ehrhardt, Matthias and Sofronov, Ivan}
}
@Article { AlBaGuTi03,
title = {Elliptic partial differential-algebraic multiphysics models in electrical network design},
journal = {Mathematical Models and Methods in Applied Sciences},
year = {2003},
volume = {13},
number = {9},
pages = {1261 -- 1278},
DOI = {10.1142/s0218202503002908},
author = {Ali, Guiseppe and Bartel, Andreas and G{\"u}nther, Michael and Tischendorf, Caren}
}
@Book { GuJu03,
title = {\{F\}inanzderivate mit \{M\}atlab. \{M\}athematische \{M\}odellierung und Numerische \{S\}imulation},
year = {2003},
publisher = {Vieweg Verlag},
address = {Wiesbaden},
author = {G{\"u}nther, Michael and J{\"u}ngel, Ansgar}
}
@Inbook { ReGuHoFe03,
title = {CHORAL - a charge-oriented algorithm for the numerical integration of electrical circuits},
year = {2003},
pages = {429 -- 438},
editor = {J{\"a}ger, W. and Krebs, H. J.},
publisher = {Springer},
address = {Berlin},
booktitle = {Mathematics - Key Technology for the Future. Joint Projects Between Universities and Industry},
author = {Rentrop, Peter and G{\"u}nther, Michael and Hoschek, M. and Feldmann, Uwe}
}
@Inproceedings { Pu03b,
title = {A parallel finite difference algorithm for multirate partial differential algebraic equations},
year = {2003},
number = {146},
pages = {153 -- 166},
editor = {Antreich, K. and Bulirsch, R. and Gilg, A. and Rentrop, Peter},
publisher = {Birkh{\"a}user},
address = {Basel},
booktitle = {Modeling, Simulation and Optimization of Integrated Circuits. International Series of Numerical Mathematics},
author = {Pulch, Roland}
}
@Inproceedings { GuAr03,
title = {Preconditioned splitting and overlapping techniques in modular time integration},
year = {2003},
editor = {Troch, I. and Breitenecker, F.},
address = {Vienna},
booktitle = {Proceedings 4th Mathmod},
author = {G{\"u}nther, Michael and Arnold, Martin}
}
@Inproceedings { Gu03b,
title = {A refined \{PDAE\} network model for a CMOS ring oscillator},
year = {2003},
number = {146},
pages = {203 -- 218},
editor = {Antreich, K. and Bulirsch, R. and Gilg, A. and Rentrop, Peter},
publisher = {Birkh{\"a}user},
address = {Basel},
booktitle = {Modeling, Simulation and Optimization of Integrated Circuits. International Series of Numerical Mathematics},
author = {G{\"u}nther, Michael}
}
@Inproceedings { BaGuSc03,
title = {Modeling and discretization of a thermal-electric test circuit},
year = {2003},
pages = {187 -- 201},
editor = {Antreich, K. and Bulirsch, R. and Gilg, A. and Rentrop, Peter},
publisher = {Birkh{\"a}user},
series = {146},
booktitle = {Modeling, Simulation and Optimization of Integrated Circuits. International Series of Numerical Mathematics},
author = {Bartel, Andreas and G{\"u}nther, Michael and Schulz, Martin}
}
@Inproceedings { Ba03,
title = {First order thermal PDAE models in electric circuit design},
year = {2003},
pages = {1376 -- 1381},
editor = {Troch, I. and Breitenecker, F.},
address = {Vienna},
booktitle = {Proceedings 4th Mathmod},
author = {Bartel, Andreas}
}
@Inproceedings { Eh02b,
title = {Efficient Numerical Implementation of Discrete Transparent Boundary Conditions for Parabolic Equations},
year = {2002},
month = {6},
pages = {381 -- 386},
booktitle = {Proceedings of the Sixth European Conference on Underwater Acoustics},
author = {Ehrhardt, Matthias}
}
@Inproceedings { ArEhSo02,
title = {A fast method to implement non-local discrete transparent boundary conditions for the \{S\}chr{\"o}dinger equation},
year = {2002},
month = {3},
booktitle = {Proceedings of the GAMM 2002 Conference},
organization = {Proceedings of the GAMM 2002 Conference},
DOI = {10.1002/pamm.200310196},
author = {Arnold, Anton and Ehrhardt, Matthias and Sofronov, Ivan}
}
@Article { PuGu02,
title = {A method of characteristics for solving multirate partial differential equations in radio frequency application},
journal = {Applied Numerical Mathematics},
year = {2002},
volume = {42},
number = {1},
pages = {397 -- 409},
DOI = {10.1016/s0168-9274(01)00163-5},
author = {Pulch, Roland and G{\"u}nther, Michael}
}
@Article { Eh02,
title = {Efficient Numerical Implementation of Discrete Transparent Boundary Conditions for Parabolic Equations in Underwater Acoustics},
journal = {Acta Acustica united with Acustica},
year = {2002},
volume = {88},
pages = {711 -- 713},
author = {Ehrhardt, Matthias}
}
@Article { BaGu02,
title = {A multirate W-method for electrical networks in state space formulation},
journal = {Journal of Computational and Applied Mathematics},
year = {2002},
volume = {147},
number = {2},
pages = {411 -- 425},
DOI = {10.1016/s0377-0427(02)00476-4},
author = {Bartel, Andreas and G{\"u}nther, Michael}
}
@Inproceedings { RaLiKn02,
title = {\{C\}o-\{S\}imulation eines \{F\}ahrzeugs mit aktiver \{F\}ederung},
year = {2002},
pages = {476 -- 485},
publisher = {SCS-Europe BVBA},
address = {Ghent},
booktitle = {Fortschritte in der Simulationstechnik - Frontiers in Simulation},
author = {Rauh, J. and Lieschke, R. and Knorr, Stephanie}
}
@Inproceedings { BaGuPuRe02,
title = {Numerical techniques for different time scales in electric circuit simulation},
year = {2002},
pages = {343 -- 360},
editor = {Breuer, M. and Durst, F. and Zenger, Ch.},
publisher = {Springer},
booktitle = {High-Performance Scientific and Engineering Computing. Lecture Notes in Computational Science and Engineering},
author = {Bartel, Andreas and G{\"u}nther, Michael and Pulch, Roland and Rentrop, Peter}
}
@Inproceedings { BaGuKv02,
title = {Multirate methods in electrical circuit simulation},
year = {2002},
number = {1},
pages = {258 -- 265},
editor = {Anile, A. M. and Capasso, V. and Greco, A.},
publisher = {Springer},
address = {Berlin},
booktitle = {Progress in Industrial Mathematics at ECMI 2000. Mathematics in Industry},
author = {Bartel, Andreas and G{\"u}nther, Michael and Kv{\ae}rn{\o}, A.}
}
@Article { GuKvRe01,
title = {Multirate partitioned Runge-Kutta methods},
journal = {Zeitschrift f{\"u}r Bibliothek, Information und Technologie},
year = {2001},
volume = {41},
number = {3},
pages = {504 -- 515},
DOI = {10.1023/a:1021967112503},
author = {G{\"u}nther, Michael and Kv{\ae}rn{\o}, A.}
}
@Article { GuHoWe01,
title = {ROW methods adapted to a cheap Jacobian},
journal = {Applied Numeric Mathematics},
year = {2001},
volume = {37},
pages = {231 -- 240},
DOI = {10.1016/s0168-9274(00)00040-4},
author = {G{\"u}nther, Michael and Hoschek, M. and Weiner, R.}
}
@Article { Gu01b,
title = {A \{PDAE\} model for interconnected linear RLC networks},
journal = {Mathematical and Computer Modelling of Dynamical Systems},
year = {2001},
volume = {7},
pages = {189 -- 203},
DOI = {10.1076/mcmd.7.2.189.3649},
author = {G{\"u}nther, Michael}
}
@Article { EhAr01,
title = {Discrete Transparent Boundary Conditions for the \{S\}chr{\"o}dinger Equation},
journal = {Rivista di Mathematica della Universita di Parma},
year = {2001},
volume = {6},
number = {4},
pages = {57 -- 108},
author = {Ehrhardt, Matthias and Arnold, Anton}
}
@Article { BaGu01,
title = {Developments in multirating for coupled systems},
journal = {Zeitschrift f{\"u}r angewandte Mathematik und Mechanik},
year = {2001},
volume = {81},
number = {3},
pages = {739 -- 742},
author = {Bartel, Andreas and G{\"u}nther, Michael}
}
@Article { ArGu01,
title = {Preconditioned dynamic iteration for coupled differential-algebraic systems},
journal = {Zeitschrift f{\"u}r Bibliothek, Information und Technologie},
year = {2001},
volume = {41},
number = {1},
pages = {1 -- 25},
DOI = {10.1023/a:1021909032551},
author = {Arnold, Martin and G{\"u}nther, Michael}
}
@Book { RiGuHe01,
title = {Scientific Computing in Electrical Engineering. Proceedings of the 3rd International Workshop, 20-23 August 2000, Warnem{\"u}nde, Germany, Lecture Notes in Computational Science and Engineering},
year = {2001},
publisher = {Springer},
address = {Berlin},
author = {Rienen, Ursula van and G{\"u}nther, Michael and Hecht, Dirk}
}
@Book { Gu01a,
title = {\{P\}artielle differential-algebraische \{S\}ysteme in der numerischen \{Z\}eitbereichsanalyse elektrischer \{S\}chaltungen. Fortschritt-Berichte VDI},
year = {2001},
number = {343},
publisher = {VDI-Verlag},
address = {D{\"u}sseldorf},
series = {20},
author = {G{\"u}nther, Michael}
}
@Inproceedings { GuRe01,
title = {\{PDAE\}-\{N\}etzwerkmodelle in der elektrischen \{S\}chaltungssimulation},
year = {2001},
pages = {31 -- 38},
editor = {John, W.},
address = {Frankfurt},
booktitle = {Analog '99: 5. ITG/GMM-Diskussionssitzung ``Entwicklung von Analogschaltungen mit CAE-Methoden mit dem Schwerpunkt Entwurfsmethodik und parasit{\"a}re Effekte''},
author = {G{\"u}nther, Michael and Rentrop, Peter}
}
@Inproceedings { GuReFe01,
title = {CHORAL - a one step method as numerical low pass filter in electrical network analysis},
year = {2001},
pages = {199 -- 215},
editor = {van Rienen, U. and G{\"u}nther, Michael and Hecht, Dirk},
publisher = {Springer},
address = {Berlin},
booktitle = {Scientific Computing in Electrical Engineering. Lecture Notes in Computational Science and Engineering},
author = {G{\"u}nther, Michael and Rentrop, Peter and Feldmann, Uwe}
}
@Inproceedings { Ba01,
title = {Multirate ROW methods of mixed type for circuit simulation},
year = {2001},
pages = {241 -- 249},
editor = {van Rienen, U. and G{\"u}nther, Michael},
publisher = {Springer},
address = {Berlin},
booktitle = {Scientific Computing in Electrical Engineering. Lecture Notes in Computational Science and Engineering},
author = {Bartel, Andreas}
}
@Article { Gu00e,
title = {Index concepts for linear mixed systems of differential-algebraic and hyperbolic-type equations.},
journal = {SIAM Journal on Scientific Computing},
year = {2000},
volume = {22},
number = {5},
pages = {1610 -- 1629},
DOI = {10.1137/s1064827598349057},
author = {G{\"u}nther, Michael}
}
@Article { Gu00d,
title = {Numerical simulation of electrical circuits},
journal = {GAMM-Mitteilungen},
year = {2000},
volume = {23},
number = {1 -- 2},
pages = {51 -- 77},
author = {G{\"u}nther, Michael}
}
@Article { Gu00a,
title = {A joint DAE/PDE model for interconnected electrical networks},
journal = {Mathematical and Computer Modelling of Dynamical Systems},
year = {2000},
volume = {6},
pages = {114 -- 128},
DOI = {10.1076/1387-3954(200006)6:2;1-m;ft114},
author = {G{\"u}nther, Michael}
}
@Article { Gu00b,
title = {Semidiscretization may act like a deregularization},
journal = {Mathematics and Computers in Simulation},
year = {2000},
volume = {53},
pages = {293 -- 301},
DOI = {10.1016/s0378-4754(00)00216-0},
author = {G{\"u}nther, Michael}
}
@Article { Gu00c,
title = {Differential-algebraic equations in electric circuit simulation},
journal = {AEU - International Journal of Electronics and Communications},
year = {2000},
volume = {54},
pages = {101 -- 107},
author = {G{\"u}nther, Michael}
}
@Article { Eh99,
title = {Discrete Transparent Boundary Conditions for General \{S\}chr{\"o}dinger-Type Equations},
journal = {VLSI Design},
year = {1999},
volume = {5},
number = {4},
pages = {325 -- 338.},
DOI = {10.1155/1999/72984},
author = {Ehrhardt, Matthias}
}
@Article { ArEh98b,
title = {Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations in Underwater Acoustics},
journal = {Journal of Computational Physics},
year = {1998},
month = {9},
volume = {145},
number = {2},
pages = {769 -- 774},
organization = {Proceedings of the Fourth European Conference on Underwater Acoustics},
DOI = {10.1006/jcph.1998.6043},
author = {Arnold, Anton and Ehrhardt, Matthias}
}
@Article { Eh98,
title = {Discrete Transparent Boundary Conditions for Parabolic Equations},
journal = {Journal of Computational Physics},
year = {1998},
volume = {145},
pages = {611--638},
organization = {Proceedings of the GAMM 96 Conference},
author = {Ehrhardt, Matthias}
}
@Article { ArEh98,
title = {Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations in Underwater Acoustics},
journal = {Journal of Computational Physics},
year = {1998},
volume = {145},
number = {2},
pages = {611 -- 638},
DOI = {10.1006/jcph.1998.6043},
author = {Arnold, Anton and Ehrhardt, Matthias}
}