Design and Implementation of Predictors for Additive Semi-Implicit Runge–Kutta Methods

DOI10.1137/070710160zbMath1200.65066OpenAlexW1971906982MaRDI QIDQ3567021

José M. Mantas, Inmaculada Higueras, Teo Roldán

Publication date: 10 June 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070710160

zbMATH Keywords

numerical experimentsparallel computationstiff systemsimplicit-explicit Runge-Kutta methodsadditive Runge-Kutta methodsadditive semi-implicit Runge-Kutta methodsstage value predictors

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Complexity and performance of numerical algorithms (65Y20)

Related Items (5)

Construction of additive semi-implicit Runge-Kutta methods with low-storage requirements ⋮ Higher-order additive Runge-Kutta schemes for ordinary differential equations ⋮ High order semi-implicit schemes for time dependent partial differential equations ⋮ High-order semi-implicit linear multistep LG scheme for a three species competition-diffusion system in two-dimensional spatial domain arising in ecology ⋮ Nonlinear Stability and B-convergence of Additive Runge-Kutta Methods for Nonlinear Stiff Problems

Uses Software

• ParSODES

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