Construction of additive semi-implicit Runge-Kutta methods with low-storage requirements

DOI10.1007/s10915-015-0116-2zbMath1342.65161arXiv1510.00253OpenAlexW2950616650MaRDI QIDQ2629251

Teo Roldán, Inmaculada Higueras

Publication date: 5 July 2016

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00253

zbMATH Keywords

semidiscretizationimplicit methodnumerical experimentstiff problemsadditive Runge-Kutta methodsstrong stability preservingtime discretization schemeslow-storage

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for stiff equations (65L04)

Related Items (3)

High order semi-implicit schemes for time dependent partial differential equations ⋮ Implicit-Explicit Runge-Kutta-Rosenbrock Methods with Error Analysis for Nonlinear Stiff Differential Equations ⋮ Order barrier for low-storage DIRK methods with positive weights

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