Stability Analysis of Linearly Implicit One-Step Interpolation Methods for Stiff Retarded Differential Equations

DOI10.1137/0726064zbMath0679.65068OpenAlexW1971214982MaRDI QIDQ4729269

H. Claus, Karl Strehmel, Rüdiger Weiner

Publication date: 1989

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0726064

zbMATH Keywords

delay differential equationsstability regionsP- stabilitystiff retarded differential equationslinearly implicit Runge-Kutta interpolation methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05)

Related Items (3)

Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments ⋮ Singly-implicit Runge-Kutta methods for retarded and ordinary differential equations ⋮ Stability analysis of numerical methods for delay differential equations

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