A Stability Study of a New Explicit Numerical Scheme for a System of Differential Equations with a Large Skew-Symmetric Component

DOI10.1137/090775804zbMath1226.65070OpenAlexW2016132049MaRDI QIDQ3091805

Stephen O'Sullivan, Katharine Gurski

Publication date: 14 September 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arrow.dit.ie/cgi/viewcontent.cgi?article=1163&context=scschmatart

zbMATH Keywords

stabilitysystemsmethod of linesskew-symmetricsymmetricexplicit methodstep sizemultiplicative operator splittingsuper-time-stepping

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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