Integrators for stiff systems with undamped oscillatory solutions

DOI10.1080/01630569508816630zbMath0830.65076OpenAlexW2031830705WikidataQ59318785 ScholiaQ59318785MaRDI QIDQ4844741

Pratap Pattnaik, Albert E. Ruehli, Werner Liniger

Publication date: 4 February 1996

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569508816630

zbMATH Keywords

stiff systemsstiff differential equationstrapezoidal rulebackward differentiation formulas\(A\)-contractive multistep methodundamped oscillatory solutions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Multiple scale methods for ordinary differential equations (34E13)

Cites Work

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• Stability of Two-Step Methods for Variable Integration Steps
• The A-Contractive Second-Order Multistep Formulas with Variable Steps
• Contractive methods for stiff differential equations part I
• Contractive methods for stiff differential equations Part II

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