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An Embedding Method for High Frequency Circuits

  • Barbara Lang
  • Angelika Bunse-Gerstner
  • Henning Lemanczyk
  • Hans Georg Brachtendorf
  • Rainer Laur
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 4)

Abstract

Widely seperated time scales appear in many electronic circuits, making analysis with the usual numerical methods very difficult and costly. In this article we present a quasilinear system of partial differential equations (PDE) of first order, where the time scales are treated seperately. The PDE corresponds to the system of differential-algebraic equations (DAE) describing the electronic circuit in the sense that the solution of the PDE restricted to one of its characteristics is the solution of the DAE. This embedding method is described in a general setting. Hence it can be used for various applications in circuit simulation.

Since generalized quasiperiodic functions, which are presented here, conceptualize physical properties, they have a basic significance for the embedding method.

Theoretical investigations are presented as well as new approaches for numerical methods based on the connection between the PDE and the DAE.

Keywords

Partial Differential Equation Steady State Analysis Node Voltage Circuit Equation Embedding Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Barbara Lang
    • 1
  • Angelika Bunse-Gerstner
    • 1
  • Henning Lemanczyk
    • 1
  • Hans Georg Brachtendorf
    • 2
  • Rainer Laur
    • 3
  1. 1.Zentrum für TechnomathematikUniversität BremenGermany
  2. 2.Fraunhofer IISErlangenGermany
  3. 3.Institut für Theoretische Elektrotechnik und MikroelektronikUniversität BremenGermany

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