The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error
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Publication:4859533
DOI10.1137/0916072zbMath0839.65098OpenAlexW2067870952MaRDI QIDQ4859533
Mark H. Carpenter, Wai-Sun Don, Saul S. Abarbanel, David Gottlieb
Publication date: 2 June 1996
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0916072
method of lineshyperbolic systemRunge-Kutta schemesnonlinear hyperbolic equationstime-dependent boundary conditionsboundary errorRunge-Kutta time discretizations
First-order nonlinear hyperbolic equations (35L60) 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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