Stability analysis of time-point relaxation Runge-Kutta methods with respect to tridiagonal systems of differential equations

DOI10.1016/0168-9274(93)90048-VzbMath0786.65062MaRDI QIDQ686553

Zdzisław Jackiewicz

Publication date: 10 October 1993

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

zbMATH Keywords

stabilityRunge-Kutta methodtridiagonal systemwaveform methodstime-point relaxation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

Convergence analysis of time-point relaxation iterates for linear systems of differential equations ⋮ Waveform relaxation methods for functional differential systems of neutral type

Uses Software

• RODAS

Cites Work

• Time-point relaxation Runge-Kutta methods for ordinary differential equations
• Inertia characteristics of self-adjoint matrix polynomials
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Natural Continuous Extensions of Runge-Kutta Methods
• Contractivity of Waveform Relaxation Runge–Kutta Iterations and Related Limit Methods for Dissipative Systems in the Maximum Norm
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