Navigationsweiche Anfang

Navigationsweiche Ende

Sprache wählen

Kontakt

Arbeitsgruppe Angewandte Mathematik / Numerische Analysis
Bergische Universität Wuppertal
Fakultät 04
Gaußstraße 20
D-42119 Wuppertal
Deutschland

Telefon: +49 202 439 5296
Fax: +49 202 439 5201
E-Mail: sek-amna{at}math.uni-wuppertal.de

Aktuelles

Keine Nachrichten verfügbar.

Multirate

Highly integrated electric cicuits show a phenomenon called latency. That is, a processed signal causes activity only in a small subset of the whole circuit (imagine a central processing unit), whereas the other part of the system behaves almost constant over some time - is latent. Such an electric system can be described as coupled system, where the waveforms show different time scales, also refered to as multirate.

More generally, any coupled problem formulation due to coupled physical effects, may cause a multirate problem: image the simulation of car driving on the road, there you need a model for the wheel, the chassis, the dampers, the road,... (cf. co-simulation). Again each system is covered by their own time constant, which might vary over several orders of magnitude comparing different subsystems.

Classical methods cannot exploit this multirate potential, but resolve everything on the finest scale. This causes an over sampling of the latent components. In constrast, Co-simulation or especially dedicated multirate methods are designed to use the inherent step size to resolve the time-domain behaviour of each subystem with the required accuracy. This requires a time-stepping for each.

Group members working in that field

Former and ongoing Projects

Cooperations

Publications

Referenzen
18.
A. Verhoeven; A. El Guennouni; E. J. W. ter Maten; R. M. M. Mattheij
A General Compound Multirate Method for Circuit Simulation Problems
Anile, A. M. and Ali, G. and Mascali, G., Autoren, Scientific Computing in Electrical Engineering Band 9 aus Mathematics in Industry
Seite 143--150.
Herausgeber: Springer Berlin Heidelberg,
2006
17.
A. Bartel; S. Knorr
Wavelet-based Adaptive Grids for the Simulation of Multirate Partial Differential-Algebraic Equations
GAMM 2006 Proceedings Band 6 aus PAMM , Seite 39--42.
2006
16.
B. Tasić; A. Verhoeven; E. J. W. ter Maten; T. G. J. Beelen
Compound BDF Multirate Transient Analysis Applied to Circuit Simulation
ICNAAM 2006, Int. Conf. of Numerical Analysis and Applied Mathematics, Official Conf. of the Eur. Soc. of Comput. Methods in Sciences and Engineering (ESCMSE) , Seite 480-483.
Herausgeber: Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim,
2006
15.
M. Striebel; M. Günther
A charge oriented mixed multirate method for a special class of Index-1 network equations in chip design
Appl. Numer. Math., 53:489--507
2005
14.
A. Verhoeven; A. El Guennouni; E. J. W. ter Maten; R. M. M. Mattheij
Multirate methods for the transient analysis of electrical circuits
PAMM, 5(1):821--822
2005
13.
J. ter Maten; A. Verhoeven; A. El Guennouni; Th. Beelen
Multirate hierarchical time integration for electronic circuits
PAMM, 5(1):819--820
2005
12.
A. El Guennouni; A. Verhoeven; E. J. W. ter Maten; T. G. J. Beelen
Aspects of Multirate Time Integration Methods in Circuit Simulation Problems
Bucchianico, A. Di and Mattheij, R. M. M. and Peletier, M. A., Autoren, Progress in Industrial Mathematics at ECMI 2004, Eindhoven Band 8 aus Mathematics in Industry
Seite 579--584.
Herausgeber: Springer Berlin Heidelberg,
2005
11.
A. Bartel; M. Günther
Multirate Co-Simulation of First Order Thermal Models in Electric Circuit Design
Schilders, W. H. A. and et al., Autoren, Scientific Computing in Electrical Engineering. Proceedings of the SCEE-2002 Conference held in Eindhoven
Seite 104--111.
Herausgeber: Springer-Verlag, Berlin,
2004
10.
A. Bartel; M. Günther
A multirate W-method for electrical networks in state-space formulation
Comp.~Appl.~Math., 147(2):411--425
2002
9.
R. Pulch; M. Günther
A method of characteristics for solving multirate partial differential equations in radio frequency application
Appl. Numer. Math., 42:397--409
2002
8.
A. Bartel; M. Günther; A. Kværno
Multirate methods in electrical circuit simulation
Anile, A. M. and Capasso, V. and Greco, A., Autoren, Progress in Industrial Mathematics at ECMI 2000 , Seite 258--265.
Herausgeber: Springer-Verlag, Berlin,
2002
7.
M. Günther; A. Kværno; P. Rentrop
Multirate Partitioned Runge-Kutta Methods
BIT, 41(3):504--515
2001
Seite:  
Zurück | 1, 2, 3, 4 | Weiter
Export als:
BibTeX, XML