Implementation of DIMSIMs for stiff differential systems

DOI10.1016/S0168-9274(01)00154-4zbMath1001.65082MaRDI QIDQ1612461

Zdzisław Jackiewicz

Publication date: 22 August 2002

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

zbMATH Keywords

numerical experimentsstiff systems\(A\)-stabilitydiagonally implicit multistage integration methodsvariable stepsizeerror estimatorsvariable order

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Uses Software

• Matlab
• DIMSIM
• RODAS
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

• Unnamed Item
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• Nordsieck representation of DIMSIMs
• Experiments with a variable-order type 1 DIMSIM code
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• Implementation of Implicit Formulas for the Solution of ODE<scp>s</scp>
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• The construction of order 4 DIMSIMs for ordinary differential equations