Skip to main content

Multirate Methods in Electrical Circuit Simulation

  • Conference paper

Part of the book series: Mathematics in Industry ((TECMI,volume 1))

Abstract

Multirate methods in the simulation of coupled systems adapt the numerical effort to the activity level of the respective subsystems. Here, two different approaches will be presented: one based on operator splitting and a second using the concept of generalised multirated. For both the inverter-chain-benchmark serves as a test set, which will confirm the potential of multirate methods.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bartel, A. Multirate ROW Methods of Mixed Type for Circuit Simulation. Submitted to SCEE-2000 Proceedings.

    Google Scholar 

  2. Günther, M. (1998) Simulating digital circuits numerically-a charge-oriented ROW approach. Numer. Math., 79, p. 203 - 212.

    Article  MathSciNet  MATH  Google Scholar 

  3. Günther, M., Hoschek, M. and Weiner, R. ROW methods adapted to cheap Jacobian. To appear in Appi. Num. Math.

    Google Scholar 

  4. Günther, M., Kværno, A. and Rentrop, P. Multirate Partitioned Runge-Kutta Methods. Submitted for publication in BIT.

    Google Scholar 

  5. Hairer, E. (1981) Order Conditions for Numerical Methods for Partitioned Ordinary Differential Equations. Numer. Math., 36, p. 431 - 445.

    Article  MathSciNet  MATH  Google Scholar 

  6. Kaps, P. and Rentrop, P. (1979) Generalised Runge-Kutta methods of order four with step size control for stiff ordinary differential equations. Numer. Math., 30, p. 55 - 68.

    Article  MathSciNet  Google Scholar 

  7. Roche, M. (1988) Rosenbrock methods for differential algebraic equations. Nu-mer. Math., 28, p. 145 - 162.

    MathSciNet  Google Scholar 

  8. Strang, G. (1968) On the construction and comparison of difference schemes. SIAM J. Numer. Anal.,5?

    Google Scholar 

  9. Yoshida, H. (1990) Construction of higher order symplectic integrators. Physics Letters A,150?

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bartel, A., Günther, M., Kværnø, A. (2002). 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, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04784-2_35

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-04784-2_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07647-3

  • Online ISBN: 978-3-662-04784-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics