Construction of highly stable two-step W-methods for ordinary differential equations

DOI10.1016/j.cam.2003.10.007zbMath1049.65070OpenAlexW1994950072MaRDI QIDQ596159

Rüdiger Weiner, Zdzisław Jackiewicz, Helmut Podhaisky

Publication date: 10 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2003.10.007

zbMATH Keywords

numerical examples\(A\)-stability\(L\)-stabilityStiff differential systemsTwo-step W-methods

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 (9)

Efficient A-stable peer two-step methods ⋮ Super-convergent implicit-explicit peer methods with variable step sizes ⋮ Linearly implicit GARK schemes ⋮ Order conditions for general linear methods ⋮ Error propagation of general linear methods for ordinary differential equations ⋮ Linearly-implicit two-step methods and their implementation in Nordsieck form ⋮ Rosenbrock-type `peer' two-step methods ⋮ Parallel two-step ROW-methods for stiff delay differential equations ⋮ Rosenbrock-Wanner Methods: Construction and Mission

Uses Software

• RODAS

Cites Work

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• On the zero-stability of variable stepsize multistep methods: The spectral radius approach

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