Numerical resolution of linear evolution multidimensional problems of second order in time

DOI10.1002/num.20645zbMath1255.65101OpenAlexW2097727475MaRDI QIDQ2885164

J. C. Jorge, B. Bujanda, M. J. Moreta

Publication date: 21 May 2012

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20645

zbMATH Keywords

stabilitynumerical resultsconsistencyevolution equationHilbert spaceinitial value problemoperator splittingRunge-Kutta methodNyström methodDahlquist's test equationfractional step Runge-Kutta-Nyström method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Numerical solutions to abstract evolution equations (65J08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items

Avoiding the order reduction when solving second-order in time PDEs with fractional step Runge-Kutta-Nyström methods, New fractional step Runge-Kutta-Nyström methods up to order three

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