Publications

2012

Books

• Günther, M. et al. (eds).:
  Progress in Industrial Mathematics at ECMI 2010.
  Springer, Heidelberg. ISBN: 978-3-642-25099-6. in press.
• Günther, M. (ed.):
  COMSON - a Marie Curie Research Training Network in Coupled Multiscale Simulation and Optimization in Nanoelectronics.
  Springer, Heidelberg. in preparation.

Journals

• Schöps, S.; Bartel, A.; Clemens, M.
  Higher Order Half-Explicit Time Integration of Eddy Current Problems Using Domain Substructuring.
  IEEE Transactions on Magnetics (2012). doi: 10.1109/TMAG.2011.2172780. to appear.
• Schöps, S.; De Gersem, H.; Bartel, A.
  Higher-Order Cosimulation of Field/Circuit Coupled Problems.
  IEEE Transactions on Magnetics (2012). to appear.

2011

Journals

• Bartel, A.; Baumanns, S.; Schöps, S.
  Structural Analysis of Electrical Circuits Including Magnetoquasistatic Devices.
  Applied Numerical Mathematics, volume 61, 2011, pp. 1257 — 1270. doi: 10.1016/j.apnum.2011.08.004.
• Clemens, M.; Schöps, S.; De Gersem, H.; Bartel, A.: Decomposition and Regularization of Nonlinear Anisotropic Curl-Curl DAEs.
  COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 30:6 (2011). doi: 10.1108/03321641111168039.
• Pulch, R.:
  Polynomial chaos for linear differential algebraic equations with random parameters.
  Int. J. Uncertainty Quantification 1:3 (2011), pp. 223-240.
• Pulch, R.:
  Modelling and simulation of autonomous oscillators with random parameters.
  Math. Comput. Simulat. 81 (2011), pp. 1128-1143

Conference Proceedings

• Alì, G.; Bartel, A.; Brunk, M.; Schöps, S.:
  A convergent iteration scheme for semiconductor/circuit coupled problems.
  Scientific Computing in Electrical Engineering SCEE 2010. Ed. by Bas Michielsen. Mathematics in Industry. To be published. Berlin: Springer (2011).
• Schöps, S.; Bartel, A.; De Gersem, H.: Multirate Time-Integration of Field/Circuit Coupled Problems by Schur Complements.
  Scientific Computing in Electrical Engineering SCEE 2010. Ed. by Bas Michielsen. Mathematics in Industry. To be published. Berlin: Springer (2011).

2010

Books

• Günther, M.; Jüngel, A.:
  Finanzderivate mit MATLAB. Mathematische Modellierung und Numerische Simulation.
  (2. Aufl.) Vieweg+Teubner Verlag, Wiesbaden, 2010.

Edited Books

• Ehrhardt, M. (ed.):
  Wave Propagation in Periodic Media - Analysis, Numerical Techniques and practical Applications.
  Progress in Computational Physics, Vol. 1, Bentham Science Publishers Ltd., June 2010.
• Ehrhardt, M (ed.):
  Coupled Fluid Flow in Energy, Biology and Environmental Research.
  Progress in Computational Physics, Vol. 2, Bentham Science Publishers Ltd., to appear: Fall 2010.

Chapter in Books

• Ehrhardt, M.:
  An Introduction to Fluid-Porous Interface Coupling.
  Chapter 1 in: M. Ehrhardt, M. (ed.): Coupled Fluid Flow in Energy, Biology and Environmental Research. Progress in Computational Physics, Vol. 2, Bentham Science Publishers Ltd., to appear: Winter 2010.
• Beitz, M.; Ehrhardt, M.:
  A New Method for Stress Testing on Investment Products.
  Chapter in: Wong, M. (ed.): The Risk of Investment Products: From Product Innovation to Risk Compliance. World Scientific Publishing, to appear 2010.
• M. Ehrhardt, M.; Zheng, C.:
  Fast numerical methods for the simulation of waves in periodic structures.
  Chapter 6 in: Ehrhardt, M. (ed.): Wave Propagation in Periodic Media - Analysis, Numerical Techniques and practical Applications. Progress in Computational Physics, Vol. 1, Bentham Science Publishers Ltd., June 2010, pp. 135-166.

Journals

• Alì, G.; Bartel, A.; Günther, M.:
  Existence and uniqueness for an elliptic PDAE model of integrated circuits.
  SIAM J. Appl. Math. 70 (2010), pp. 1587-1610.
• Arnold, A.; Ehrhardt, M.; Schulte, M.;Sofronov, I.:
  Discrete transparent boundary conditions for the Schrödinger equation on circular domains.
  Preprint 10/08, June 2010. (Communications in Mathematical Sciences).
• Bechtold, T.; Hohlfeld, D.; Rudnyi, E.B.; Günther, M.:
  Efficient extraction of thin film thermal parameters from numerical models via parametric model order reduction.
  J. Micromech. Microeng. 20 (2010), 045030.
• Brunk, M.; Kværnø, A.:
  Positivity preserving discretization of time dependent semiconductor drift-diffusion equations.
  To appear in Appl. Numer. Math.
• Ehrhardt, M.:
  Absorbing Boundary Conditions for Hyperbolic Systems.
  Numerical Mathematics: Theory, Methods and Applications 3 (2010), pp. 295-337.
• Mezentsev, A.; Pomelnikov, A.; Ehrhardt, M.:
  Efficient Numerical Valuation of Continuous Installment Options.
  (to appear: Advances in Applied Mathematics and Mechanics)
• Schöps, S.; De Gersem, H.; Bartel, A.:
  A co-simulation framework for multirate time-integration of field/circuit coupled problems.
  IEEE Transactions on Magnetics 46 (2010), pp. 3233-3236.
• Romano, V.; Rusakov, A.:
  Numerical simulation of coupled electron devices and circuits by the MEP hydrodynamical model for semiconductors with crystal heating.
  IL NUOVO CIMENTO 33C:1 (2010), pp. 223-230.
• Romano, V.; Rusakov, A.:
  2D numerical simulations of an electron-phonon hydrodynamical model based on the maximum entropy principle.
  to appear in: Computer Methods in Applied Mechanics and Enginnering.

Conference Proceedings

• Pulch, R.:
  Polynomial chaos for the computation of failure probabilities in periodic problems.
  In: Roos, J.; Costa, L. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 14, Springer, Berlin 2010, pp. 191-198.
• Alì, G.; Bartel, A.; Culpo, M.; de Falco, C.:
  Analysis of a PDE thermal element model for electrothermal circuit simulation.
  In: Roos, J.; Costa, L. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 14, Springer, Berlin 2010, pp. 273-280.
• Culpo, M.; de Falco, C.; Denk, G.; Voigtmann, S.:
  Automatic thermal network extraction and multiscale electro-thermal simulation.
  In: Roos, J.; Costa, L. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 14, Springer, Berlin 2010, pp. 281-288.
• Alì, G.; Mascali, G.; Pulch, R.:
  Hyperbolic PDAEs for semiconductor devices coupled with circuits.
  In: Roos, J.; Costa, L. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 14, Springer, Berlin 2010, pp. 305-312.
• Schöps, S.; Bartel, A.; De Gersem, H.; Günther, M.:
  DAE-index and convergence analysis of lumped electric circuits refined by 3-D magnetoquasistatic conductor models.
  In: Roos, J.; Costa, L. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 14, Springer, Berlin 2010, pp. 341-348.
• Mohaghegh, K.; Striebel, M.; ter Maten, E.J.W.; Pulch, R.:
  Nonlinear model order reduction based on trajectory piecewise linear approach: comparing different linear cores.
  In: Roos, J.; Costa, L. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 14, Springer, Berlin 2010, pp. 563-570.
• Verhoeven, A.; Striebel, M.; ter Maten, E.J.W.:
  Model order reduction for nonlinear IC models with POD.
  In: Roos, J.; Costa, L. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 14, Springer, Berlin 2010, pp. 571-578.
• Culpo, M.; de Falco C., O'Riordan, E.:
  Patches of finite elements for singularly-perturbed diffusion reaction equations with discontinuous coefficients.
  In: Fitt, A.D. et al. (eds.): Progress in Industrial Mathematics at ECMI 2008. Springer, Berlin 2010.
• ter Maten, E.J.W; Günther, M.:
  Multirate time integration for multiscaled systems.
  In: Fitt, A.D. et al. (eds.): Progress in Industrial Mathematics at ECMI 2008. Springer, Berlin 2010.

Other Publications

• Alì, G.; Günther, M.; Romano, V.:
  Angelo Marcello Anile In Memoriam.
  In: Roos, J.; Costa, L. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 14, Springer, Berlin 2010, pp. xi-xiii.

2009

Journals

• Bartel, A.; Knorr, S.; Pulch, R.:
  Wavelet-based adaptive grids for multirate partial differential-algebraic equations.
  Appl. Numer. Math. 59:3-4 (2009), pp. 495-506.
• Pulch, R.:
  Polynomial chaos for multirate partial differential algebraic equations with random parameters.
  Appl. Numer. Math. 59:10 (2009), pp. 2610-2624.
• Pulch, R., van Emmerich, C.:
  Polynomial chaos for simulating random volatilities.
  Mathematics and Computers in Simulation 80:2 (2009), pp. 245-255.
• Striebel, M.; Bartel, A.; Günther, M.:
  A multirate ROW-scheme for index-1 network equations.
  Appl. Numer. Math. 59 (2009), pp. 800-814.
• Šumichrast, L.; Ehrhardt, M.:
  Comparison of the continuous, semi-discrete and fully-discrete transparent boundary conditions (TBC) for the parabolic wave equation 1. Theory.
  Journal of Electrical Engineering 60 (2009), pp. 301-312.

Conference Proceedings

• Pulch, R.:
  Polynomial chaos expansions for analysing oscillators with uncertainties.
  In: Troch, I.; Breitenecker, F. (eds.): Proceedings MATHMOD 09 Vienna, ARGESIM Report no. 35 (2009).
• Mohaghegh, K.; Pulch, R.; Striebel, M.; ter Maten, E.J.W.:
  Model order reduction for semi-explicit systems of differential algebraic equations.
  In: Troch, I.; Breitenecker, F. (eds.): Proceedings MATHMOD 09 Vienna, ARGESIM Report no. 35 (2009).
• Romano, V.; Rusakov, A.:
  2D numerical simulation of electron devices by the MEP hydrodynamical model for semiconductors with crystal heating.
  Proceedings of ICTT-21, Torino, Italy, 2009.
• Verhoeven, A.; ter Maten, E.J.W.; Striebel, M.; Mattheij, R.:
  Model order reduction for nonlinear IC models.
  In: Korytowski, A. et al. (eds.): System Modeling and Optimization. IFIP AICT 312, Springer, 2009, pp. 476-491.

2008

Journals

• Kahl, Ch.; Günther, M.; Rossberg, T.:
  Structure preserving stochastic integration schemes in interest rate derivative modeling.
  Appl. Numer. Math. 58 (2008), pp. 284-295.
• Pulch, R.:
  Variational methods for solving warped multirate partial differential algebraic equations.
  SIAM J. Sci. Comput. 31:2 (2008), pp. 1016-1034.
• Pulch, R.:
  Initial-boundary value problems of warped MPDAEs including minimisation criteria.
  Mathematics and Computers in Simulation 79 (2008), pp. 117-132.

Conference Proceedings

• Bechtold, T.; Striebel, M.; Mohaghegh, K.; ter Maten, E.J.W.:
  Nonlinear model order reduction in nanoelectronics: combination of POD and TPWL.
  Proc. Appl. Math. Mech. 8 (2008), pp. 10057-10060.
• de Falco, C.; Culpo, M.: Dynamical iteration schemes for multiscale simulation in nanoelectronics.
  Proc. Appl. Math. Mech. 8 (2008), pp. 10061-10064.
• Culpo, M.; de Falco, C.:
  Dynamical iteration schemes for coupled simulation in nanoelectronics.
  Proc. Appl. Math. Mech. 8 (2008), pp. 10065-10068.
• Pulch, R.:
  Polynomial chaos for analysing periodic processes of differential algebraic equations.
  Proc. Appl. Math. Mech. 8 (2008), pp. 10069-10072.

Other Publications

• Pulch, R.:
  Transformation qualities of warped multirate partial differential algebraic equations.
  In: Breitner, M.; Denk, G.; Rentrop, P. (eds.): From Nano to Space - Applied Mathematics Inspired by Roland Bulirsch. Springer, Berlin 2008, pp. 27-42.
• Kahl, Ch.; Günther, M.:
  Complete the correlation matrix.
  In: Breitner, M.; Denk, G.; Rentrop, P. (eds.): From Nano to Space - Applied Mathematics Inspired by Roland Bulirsch. Springer, Berlin 2008, pp. 229-244.
• Knorr, S.; Pulch, R.; Günther, M.:
  Wavelet-collocation of multirate PDAEs for the simulation of radio frequency circuits.
  In: Jäger, W.; Krebs, H.-J. (eds.): Mathematics - Key Technology for the Future - Joint Projects between Universities and Industry 2004-2007. Springer, Berlin 2008, pp. 19-28.
• Günther,M.:
  COMSON - ein Marie Curie Forschungs- und Trainingsnetzwerk in der Angewandten Mathematik.
  GAMM-Rundbrief 2 (2008), pp. 6-9.

2007

Books

• Knorr, S.:
  Wavelet-Based Simulation of Multirate Partial Differential-Algebraic Systems in Radio Frequency Applications.
  Fortschritt-Berichte VDI Reihe 20 Nr. 408, VDI-Verlag, Düsseldorf, 2007 (ISBN 978-3-18-340820-7).
• Kahl, Ch.:
  Modelling and Simulation of Stochastic Volatility in Finance.
  Disssertation.com, Boca Raton, Florida, U.S.A., 2007 (ISBN 1-58112-383-3).

Journals

• de Falco, C.; Sacco, R.; Scrofani, G.:
  Stabilized 3D finite elements for the numerical solution of the Navier-Stokes equations in semiconductors.
  Computer Methods in Applied Mechanics and Engineering 196:9-12 (2007), pp. 1729-1744.
• Pulch, R.; Günther, M.; Knorr, S.:
  Multirate partial differential algebraic equations for simulating radio frequency signals.
  Euro. Jnl. of Applied Mathematics 18 (2007), pp. 709-743.
• Pulch, R.:
  Multidimensional models for analysing frequency modulated signals.
  Math. Comp. Modell. Dyn. Syst. 13 (2007) 4, pp. 315-330.

Conference Proceedings

• Alì, G.; Culpo, M.; Micheletti, S.:
  Domain decomposition techniques for microelectronic modeling.
  In: Bonilla, L.L.; Moscoso, M.; Platero, G.; Vega, J.M. (eds.): Progress in Industrial Mathematics at ECMI 2006. Mathematics in Industry Vol. 12, Springer, Berlin 2007, pp. 500-505.
• Bartel, A.; Pulch, R.:
  A concept for classification of partial differential algebraic equations in nanoelectronics.
  In: Bonilla, L.L.; Moscoso, M.; Platero, G.; Vega, J.M. (eds.): Progress in Industrial Mathematics at ECMI 2006. Mathematics in Industry Vol. 12, Springer, Berlin 2007, pp. 506-511.
• Bilotta, E.; Pantano, P.; Rinaudo, S.; Servidio, R.; Talarico, V.:
  Use of a 3D graphical user interface in microelectronics learning and simulation of an industrial application.
  5th Eurographics Italian Chapter Conference 2007, Trento, 14th-16th February 2007.
• Bonanno, G.; Moschella, R.; Pantano, P.; Rinaudo, S.; Talarico, V.:
  Manual and evolutionary equalization in text mining.
  In: De Xu (ed.): New Advances in Simulation, Modelling and Optimization. Proceedings of the 7th WSEAS Conference on Simulation Modelling and Optimization, WSEAS Press, 2007
• de Falco, C.; Denk, G.; Schultz, R.:
  A demonstrator platform for coupled multiscale simulation.
  In: Ciuprina, G.; Ioan, D. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 11, Springer, Berlin 2007, pp. 62-71.
• Greb, J.; Pulch, R.:
  Simulation of quasiperiodic signals via warped MPDAEs using Houben's approach.
  In: Ciuprina, G.; Ioan, D. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 11, Springer, Berlin 2007, pp. 237-243.
• Striebel, M.; Günther, M.:
  Hierarchical mixed multirating in circuit simulation.
  In: Ciuprina, G.; Ioan, D. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 11, Springer, Berlin 2007, pp. 221-228.
• Vollebregt, A.J.; Bechtold, T.; Verhoeven, A.; ter Maten, E.J.W.:
  Model order reduction of large ODE systems: MOR for Ansys verus ROM Workbench.
  In: Ciuprina, G.; Ioan, D. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 11, Springer, Berlin 2007, pp. 175-182.
• Voß, T.; Pulch, R.; ter Maten, E.J.W.; El Guennouni, A.:
  Trajectory piecewise linear approach for nonlinear differential-algebraic equations in circuit simulation.
  In: Ciuprina, G.; Ioan, D. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 11, Springer, Berlin 2007, pp. 167-174.
• Voß, T.; Verhoeven, A.; Bechtold, T.; ter Maten, E.J.W.:
  Model order reduction for nonlinear differential algebraic equations in circuit simulation.
  In: Bonilla, L.L.; Moscoso, M.; Platero, G.; Vega, J.M. (eds.): Progress in Industrial Mathematics at ECMI 2006. Mathematics in Industry Vol. 12, Springer, Berlin 2007, pp. 518-523.

Other Publications

• Günther, M. (ed.):
  COMSON - Marie Curie Research Training Network in Coupled Multiscale Simulation and Optimization in Nanoelectronics.
  Invited thematic section, ECMI newsletter 2007 [including contributions from all work packages].

2006

Books

• Striebel, M.:
  Hierarchical Mixed Multirating for Distributed Integration of DAE Network Equations in Chip Design.
  Fortschritt-Berichte VDI Reihe 20 Nr. 404, VDI-Verlag, Düsseldorf, 2006 (ISBN 3-18-340420-6).

Journals

• Kahl, Ch.; Jäckel, P.:
  Not-so-complex logarithms in the Heston model.
  Wilmott, September 2005, pp. 94-103.

Conference Proceedings

• Bartel, A., Feldmann, U.:
  Modeling and simulation for thermal-electric coupling in an SOI-circuit.
  In: Anile, A.M.; Alì, G.; Mascali, G. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 9, Springer, Berlin 2006, pp. 27-32.
• Bartel, A.; Knorr, S.:
  Wavelet-based adaptive grids for the simulation of multirate partial differential-algebraic equations.
  Proc. Appl. Math. Mech. 6 (2006), pp. 39-42.
• Knorr, S.; Feldmann, U.:
  Simulation of pulsed signals in MPDAE-modelled SC-circuits.
  In: Di Bucchianico, A.; Mattheij, R.M.M.; Peletier, M.A. (eds.): Progress in Industrial Mathematics at ECMI 2004. Mathematics in Industry Vol. 8, Springer, Berlin, 2006, pp. 159-163.
• Knorr, S.; Günther, M.:
  Index analysis of multirate partial differential-algebraic systems in RF-circuits.
  In: Anile, A.M.; Alì, G.; Mascali, G. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 9, Springer, Berlin 2006, pp. 93-100.
• Pulch, R.:
  Warped MPDAE models with continuous phase conditions.
  In: Di Bucchianico, A.; Mattheij, R.M.M.; Peletier, M.A. (eds.): Progress in Industrial Mathematics at ECMI 2004. Mathematics in Industry Vol. 8, Springer, Berlin, 2006, pp. 179-183.
• Pulch, R.:
  Semidiscretisation methods for warped MPDAEs.
  In: Anile, A.M.; Alì, G.; Mascali, G. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 9, Springer, Berlin 2006, pp. 101-106.
• Striebel, M.; Günther, M.:
  Multirate methods in chip design: interface treatment and multi domain extension.
  In: Anile, A.M.; Alì, G.; Mascali, G. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry Vol. 9, Springer, Berlin 2006, pp. 129-136.

2005

Journals

• Alì, G.; Bartel, A.; Günther, M.:
  Parabolic differential-algebraic models in electric network design.
  SIAM J. MMS 4 (2005) 3, pp. 813-838.
• Pulch, R.:
  Multi time scale differential equations for simulating frequency modulated signals.
  Appl. Numer. Math. 53 (2005) 2-4, pp. 421-436.
• Striebel, M.; Günther, M.:
  A charge oriented mixed multirate method for a special class of index-1 network equations in chip design.
  Appl. Numer. Math. 53 (2005) 2-4, pp. 489-507.

Conference Proceedings

• Pulch, R.:
  Warped MPDAE models including minimisation criteria for the simulation of RF signals.
  Proc. Appl. Math. Mech. 5 (2005), pp. 811-814.

Other Publications

• Günther, M.; Feldmann, U.; ter Maten, E.J.W.:
  Modeling and discretization of circuit problems.
  In: Schilders, W.H.A.; ter Maten, E.J.W. (eds.): Handbook of Numerical Analysis. Special Volume Numerical Analysis of Electromagnetism. Elsevier North Holland, Amsterdam, 2005, pp. 523-659.

2004

Books

• Bartel, A.:
  Partial Differential-Algebraic Models in Chip Design - Thermal and Semiconductor Problems.
  Fortschritt-Berichte VDI Reihe 20 Nr. 391, VDI-Verlag, Düsseldorf, 2004 (ISBN 3-18-3 39120-1).
• Pulch, R.:
  PDAE Methoden zur numerischen Simulation quasiperiodischer Grenzzyklen von Oszillatorschaltungen.
  Fortschritt-Berichte VDI Reihe 20 Nr. 380, VDI-Verlag, Düsseldorf, 2004 (ISBN 3-18-3 38020-X).

Conference Proceedings

• Alì, G., Bartel, A.:
  A priori estimates for multiphysics models in electric circuit design.
  In: Buikis, A.; Ciegis, R.; Fitt, A.D. (eds.): Progress in Industrial Mathematics at ECMI 2002. Springer, Berlin, 2004, pp. 167-171.
• Bartel, A.; Günther, M.:
  Multirate co-simulation of first order thermal models in electric circuit design.
  In: Schilders, W.H.A.; terMaten, E.J.W.; Houben, S.H.M.J. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry, Springer, 2004, pp. 104-111.
• Günther, M.:
  Preconditioned splitting in dynamic iteration schemes for coupled DAE systems in RC network design.
  In: Buikis, A.; Ciegis, R.; Fitt, A.D. (eds.): Progress in Industrial Mathematics at ECMI 2002. Springer, Berlin, 2004, pp. 173-177.
• Pulch, R.:
  Numerical techniques for solving multirate partial differential algebraic equations.
  In: Schilders, W.H.A.; terMaten, E.J.W.; Houben, S.H.M.J. (eds.): Scientific Computing in Electrical Engineering. Mathematics in Industry, Springer, 2004, pp. 337-344.

2003

Books

• Günther, M.; Jüngel, A.:
  Finanzderivate mit Matlab. Mathematische Modellierung und Numerische Simulation.
  Vieweg Verlag, Wiesbaden, 2003 (ISBN 3-528-03204-9).

Journals

• Alì, G.; Bartel, A.; Günther, M.; Tischendorf, C.:
  Elliptic partial differential-algebraic multiphysics models in electrical network design.
  Mathematical Models and Methods in Applied Sciences 13 (2003) 9, pp. 1261-1278.
• Bartel, A.; Günther, M.:
  From SOI to abstract electric-thermal-1D multiscale modeling for first order thermal effects.
  Math. Comp. Modell. Dyn. Syst. 9 (2003) 1, pp. 25-44.
• Günther, M.:
  Dynamic iteration may fail for partitioned network simulation.
  PAMM 2 (2003) 1, pp. 499-502.
• Pulch, R.:
  Finite difference methods for multi time scale differential algebraic equations.
  Z. Angew. Math. Mech. 83 (2003) 9, pp. 571-583.

Conference Proceedings

• Bartel, A.:
  First order thermal PDAE models in electric circuit design.
  In: Troch, I.; Breitenecker, F. (eds.): Proceedings 4th Mathmod, Vienna, 2003, pp. 1376-1381.
• Bartel, A.; Günther, M., Schulz, M.:
  Modeling and discretization of a thermal-electric test circuit.
  In: Antreich, K.; Bulirsch, R.; Gilg, A.; Rentrop, P. (eds.): Modeling, Simulation and Optimization of Integrated Circuits. International Series of Numerical Mathematics Vol. 146, Birkhäuser, Basel, 2003, pp. 187-201.
• Günther, M.:
  A refined PDAE network model for a CMOS ring oscillator.
  In: Antreich, K.; Bulirsch, R.; Gilg, A.; Rentrop, P. (eds.): Modeling, Simulation and Optimization of Integrated Circuits. International Series of Numerical Mathematics Vol. 146, Birkhäuser, Basel, 2003, pp. 203-218.
• Günther, M.; Arnold, M.:
  Preconditioned splitting and overlapping techniques in modular time integration.
  In: Troch, I.; Breitenecker, F. (eds.): Proceedings 4th Mathmod, Vienna, 2003.
• Pulch, R.:
  A parallel finite difference algorithm for multirate partial differential algebraic equations.
  In: Antreich, K.; Bulirsch, R.; Gilg, A.; Rentrop, P. (eds.): Modeling, Simulation and Optimization of Integrated Circuits. International Series of Numerical Mathematics Vol. 146, Birkhäuser, Basel, 2003, pp. 153-166.

Other Publications

• Rentrop, P.; Günther, M.; Hoschek, M.; Feldmann, U.:
  CHORAL - a charge-oriented algorithm for the numerical integration of electrical circuits.
  In: Jäger, W.; Krebs, H.J. (eds.): Mathematics - Key Technology for the Future. Joint Projects Between Universities and Industry. Springer, Berlin, 2003, pp. 429-438.

2002

Journals

• Bartel, A.; Günther, M.:
  A multirate W-method for electrical networks in state space formulation.
  J. Comp. Appl. Math. 147 (2002) 2, pp. 411-425.
• Pulch, R.; Günther, M.:
  A method of characteristics for solving multirate partial differential equations in radio frequency application.
  Appl. Numer. Math. 42 (2002) 1, pp. 397-409.

Conference Proceedings

• Bartel, A.; Günther, M.; Kværnø, A.:
  Multirate methods in electrical circuit simulation.
  In: Anile, A.M.; Capasso, V.; Greco, A. (eds.): Progress in Industrial Mathematics at ECMI 2000. Mathematics in Industry 1, Springer, 2002, pp. 258-265.
• Bartel, A.; Günther, M.; Pulch, R.; Rentrop, P.:
  Numerical techniques for different time scales in electric circuit simulation.
  In: Breuer, M.; Durst, F.; Zenger, Ch. (eds.): High-Performance Scientific and Engineering Computing. Lecture Notes in Computational Science and Engineering, Springer, 2002, pp. 343-360.
• Rauh, J.; Lieschke, R.; Knorr, S.:
  Co-Simulation eines Fahrzeugs mit aktiver Federung.
  In: Fortschritte in der Simulationstechnik - Frontiers in Simulation, SCS-Europe BVBA, Ghent, 2002, pp. 476-485.

2001

Books

• Günther, M.:
  Partielle differential-algebraische Systeme in der numerischen Zeitbereichsanalyse elektrischer Schaltungen.
  Fortschritt-Berichte VDI Reihe 20 Nr. 343, VDI-Verlag, Düsseldorf, 2001 (ISBN 3-18-3 34320-7).
• Rienen, U. van; Günther, M.; Hecht, D.:
  Scientific Computing in Electrical Engineering.
  Proceedings of the 3rd International Workshop, 20-23 August 2000, Warnemünde, Germany, Lecture Notes in Computational Science and Engineering, Springer, Berlin, 2001 (ISBN 3-540-42173-4).

Journals

• Arnold, M.; Günther, M.:
  Preconditioned dynamic iteration for coupled differential-algebraic systems.
  BIT 41 (2001) 1, pp. 1-25.
• Bartel, A.; Günther, M.:
  Developments in multirating for coupled systems.
  Z. Angew. Math. Mech. 81 (2001) 3, pp. 739-742.
• Günther, M.:
  A PDAE model for interconnected linear RLC networks.
  Mathematical and Computer Modelling of Dynamical Systems 7 (2001), pp. 189-203.
• Günther, M.; Hoschek, M.; Weiner, R.:
  ROW methods adapted to a cheap Jacobian.
  Appl. Numer. Math. 37 (2001), pp. 231-240.
• Günther, M.; Kværnø, A.; Rentrop, P.:
  Multirate partitioned Runge-Kutta methods.
  BIT 41 (2001) 3, pp. 504-515.

Conference Proceedings

• Bartel, A.:
  Multirate ROW methods of mixed type for circuit simulation.
  In: van Rienen, U.; Günther, M.; Hecht, D. (eds.): Scientific Computing in Electrical Engineering. Lecture Notes in Computational Science and Engineering, Springer, Berlin, 2001, pp. 241-249.
• Günther, M.; Rentrop, P.:
  PDAE-Netzwerkmodelle in der elektrischen Schaltungssimulation.
  In: John, W. (ed.): Analog '99: 5. ITG/GMM-Diskussionssitzung ``Entwicklung von Analogschaltungen mit CAE-Methoden mit dem Schwerpunkt Entwurfsmethodik und parasitäre Effekte''. Frankfurt, 2001, pp. 31-38.
• Günther, M.; Rentrop, P.; Feldmann, U.:
  CHORAL - a one step method as numerical low pass filter in electrical network analysis.
  In: van Rienen, U.; Günther, M.; Hecht, D. (eds.): Scientific Computing in Electrical Engineering. Lecture Notes in Computational Science and Engineering, Springer, Berlin, 2001, pp. 199-215.

2000

Journals

• Günther, M.:
  A joint DAE/PDE model for interconnected electrical networks.
  Mathematical and Computer Modelling of Dynamical Systems 6 (2000), pp. 114-128.
• Günther, M.:
  Semidiscretization may act like a deregularization.
  Mathematics and Computers in Simulation 53 (2000), pp. 293-301.
• Günther, M.; Hoschek, M.; Rentrop, P.:
  Differential-algebraic equations in electric circuit simulation.
  Int. J. Electron. Commun. (AEÜ) 54 (2000), pp. 101-107.
• Günther, M.; Rentrop, P.:
  Numerical simulation of electrical circuits.
  GAMM-Mitteilungen 23 (2000) 1-2, pp. 51-77.
• Günther, M.; Wagner, Y.:
  Index concepts for linear mixed systems of differential-algebraic and hyperbolic-type equations.
  SIAM J. Sci. Comp. 22 (2000) 5, pp. 1610-1629.