Construction of IMEX DIMSIMs of high order and stage order

DOI10.1016/j.apnum.2017.07.004zbMath1372.65212OpenAlexW2737874416MaRDI QIDQ2402572

Zdzisław Jackiewicz, Hans D. Mittelmann

Publication date: 8 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.07.004

zbMATH Keywords

stabilitynumerical examplegeneral linear methodsnon-stiffoptimization methodsstiffimplicit-explicit diagonally implicit multistage integration 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) Numerical methods for stiff equations (65L04)

Related Items (13)

A new method for high-order boundary value problems ⋮ Error propagation for implicit-explicit general linear methods ⋮ Numerical approximation to semi-linear stiff neutral equations via implicit-explicit general linear methods ⋮ Convergence results for implicit-explicit general linear methods ⋮ Unnamed Item ⋮ Avoiding order reduction phenomenon for general linear methods when integrating linear problems with time dependent boundary values ⋮ Implicit-explicit second derivative diagonally implicit multistage integration methods ⋮ An asymptotic preserving semi-implicit multiderivative solver ⋮ High-order multiderivative IMEX schemes ⋮ Strong stability preserving implicit-explicit transformed general linear methods ⋮ A Class of Exponential Integrators Based on Spectral Deferred Correction ⋮ Parallel implicit-explicit general linear methods ⋮ Exponential Polynomial Block Methods

Uses Software

• RODAS

Cites Work

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