On the Removal of Boundary Errors Caused by Runge–Kutta Integration of Nonlinear Partial Differential Equations

DOI10.1137/S1064827595282520zbMath0858.65096MaRDI QIDQ4883672

Mark H. Carpenter, David Gottlieb, Saul S. Abarbanel

Publication date: 11 March 1997

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

zbMATH Keywords

semidiscretizationRunge-Kutta integrationexplicit finite difference schemelong-time integrationtime-dependent boundary conditions

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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