Optimal time order when implicit Runge-Kutta-Nyström methods solve linear partial differential equations

DOI10.1016/j.apnum.2007.01.001zbMath1141.65068OpenAlexW2024328146MaRDI QIDQ2483184

Isaías Alonso-Mallo, M. J. Moreta, Begoña Cano

Publication date: 28 April 2008

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2007.01.001

zbMATH Keywords

stabilityconvergenceconsistencynumerical experimentsRunge-Kutta-Nyström methodssemidiscretizationinitial-boundary value problemsOrder reductionabstract problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Initial value problems for second-order hyperbolic equations (35L15)

Related Items

Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods, Numerical resolution of linear evolution multidimensional problems of second order in time, The stability of rational approximations of cosine functions on Hilbert spaces, Avoiding the order reduction when solving second-order in time PDEs with fractional step Runge-Kutta-Nyström methods, Projected explicit lawson methods for the integration of Schrödinger equation, A modified Gautschi's method without order reduction when integrating boundary value nonlinear wave problems

Uses Software

• RODAS

Cites Work

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