A multirate ROW-scheme for index-1 network equations

DOI10.1016/j.apnum.2008.03.014zbMath1160.65327OpenAlexW1964610855MaRDI QIDQ1007401

Michael Striebel, Andreas Bartel, Michael Günther

Publication date: 20 March 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.03.014

zbMATH Keywords

numerical examplesdifferential-algebraic equationscircuit simulationelectrical circuitsMA-series theoryP-series theorypartitioned systemsRosenbrock-Wanner multirate method

Mathematics Subject Classification ID

Circuits, networks (94C99) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for differential-algebraic equations (65L80)

Related Items (3)

CNN‐based ultrafast solver of stiff ODEs and PDEs for enabling realtime Computational Engineering ⋮ Domain Decomposition Based Multirating and its Perspective in Circuit Simulation ⋮ A Variational Approach to Multirate Integration for Constrained Systems

Uses Software

• RODAS

Cites Work

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• Multirate linear multistep methods
• A multirate time stepping strategy for stiff ordinary differential equations
• One-step and extrapolation methods for differential-algebraic systems
• Multirate ROW methods and latency of electric circuits
• A charge oriented mixed multirate method for a special class of index-1 network equations in chip design
• Topological index calculation of differential-algebraic equations in circuit simulation
• Rosenbrock methods for differential algebraic equations
• Multirate methods for the transient analysis of electrical circuits
• Structural analysis of electric circuits and consequences for MNA
• Hierarchical Mixed Multirating in Circuit Simulation
• Preconditioned dynamic iteration for coupled differential-algebraic systems

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