The construction of order 4 DIMSIMs for ordinary differential equations

DOI10.1023/A:1016611914097zbMath0974.65074MaRDI QIDQ5934371

No author found.

Publication date: 19 June 2001

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

A-stabilitydiagonally implicit multistage integration methodsL-stabilityRunge-Kutta stabilitystiff problemsvariable stepsize

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)

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A new approach to the construction of DIMSIMs of high order and stage order, Strong stability preserving general linear methods with Runge-Kutta stability, Construction and implementation of general linear methods for ordinary differential equations: a review, Extrapolation-based implicit-explicit general linear methods, Numerical solution of threshold problems in epidemics and population dynamics, Search for efficient general linear methods for ordinary differential equations, Numerical solution of a problem in the theory of epidemics, A new class of efficient general linear methods for ordinary differential equations, EFFICIENT GENERAL LINEAR METHODS OF HIGH ORDER WITH INHERENT QUADRATIC STABILITY, Construction of highly stable implicit-explicit general linear methods, Implementation of DIMSIMs for stiff differential systems

Uses Software

• Maple
• DIMSIM