Error propagation for implicit-explicit general linear methods

DOI10.1016/j.apnum.2018.05.004zbMath1446.65036OpenAlexW2802088747MaRDI QIDQ1635502

P. Pierzchała, Angelamaria Cardone, Michał Braś, Zdzisław Jackiewicz

Publication date: 6 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.05.004

zbMATH Keywords

stability analysiserror propagationgeneral linear methodsimplicit-explicit methodslocal discretization errorsstage order and order conditions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for stiff equations (65L04)

Related Items (6)

Numerical approximation to semi-linear stiff neutral equations via implicit-explicit general linear methods ⋮ Transformed implicit-explicit second derivative diagonally implicit multistage integration methods with strong stability preserving explicit part ⋮ Convergence results for implicit-explicit general linear methods ⋮ Time-accurate and highly-stable explicit peer methods for stiff differential problems ⋮ Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part ⋮ Parallel implicit-explicit general linear methods

Uses Software

• RODAS

Cites Work

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