An accelerated Poincaré-map method for autonomous oscillators

DOI10.1016/S0096-3003(02)00122-4zbMath1027.65109OpenAlexW2001937553MaRDI QIDQ1406237

S. H. M. J. Houben, Robert M. M. Mattheij, Joseph M. L. Maubach

Publication date: 9 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00122-4

zbMATH Keywords

differential-algebraic equationacceleration of convergenceNetworksperiodic steady stateNumerical examplesextrapolation to the limittime-domain methodCircuitsColpitt's oscillatorelectrical oscillator

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Technical applications of optics and electromagnetic theory (78A55) Numerical methods for differential-algebraic equations (65L80)

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Uses Software

• SPICE
• SPECTRE

Cites Work

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• Convergence acceleration during the 20th century