Two-step W-methods for stiff ODE systems

zbMath1032.65076MaRDI QIDQ1411131

Rüdiger Weiner, Helmut Podhaisky, Bernhard A. Schmitt

Publication date: 22 October 2003

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

consistencystiff systemsorder conditionsvariable stepsizeKrylov methodstwo-step methodsRosenbrock methodW-methodsA-stable methodsL-stable 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Parallel `peer' two-step W-methods and their application to MOL-systems. ⋮ A comparison of one-step and two-step W-methods and peer methods with approximate matrix factorization ⋮ Linearly-implicit two-step methods and their implementation in Nordsieck form ⋮ On A-stability for some two-step W-methods ⋮ Rosenbrock-Wanner Methods: Construction and Mission ⋮ Two-Step W-Methods

Uses Software

• RADAU
• ROWMAP