Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods

DOI10.1016/j.apnum.2017.02.010zbMath1367.65132OpenAlexW2593004015MaRDI QIDQ2359650

Isaías Alonso-Mallo, Begoña Cano, Nuria Reguera

Publication date: 22 June 2017

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

Full work available at URL: http://uvadoc.uva.es/handle/10324/24363

zbMATH Keywords

convergencesemidiscretizationinitial boundary value problemorder reductionexponential methods\(C_{0}\)-semigroupsLawson methods

Mathematics Subject Classification ID

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-boundary value problems for linear higher-order PDEs (35G16) Numerical solutions to abstract evolution equations (65J08)

Related Items (9)

Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods ⋮ How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems ⋮ A comparison of boundary correction methods for Strang splitting ⋮ Avoiding order reduction when integrating nonlinear Schrödinger equation with Strang method ⋮ Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 2: Oblique Boundary Conditions ⋮ Avoiding order reduction when integrating reaction-diffusion boundary value problems with exponential splitting methods ⋮ CMMSE: Analysis of order reduction when Lawson methods integrate nonlinear initial boundary value problems ⋮ Exponential Quadrature Rules Without Order Reduction for Integrating Linear Initial Boundary Value Problems ⋮ A modified Gautschi's method without order reduction when integrating boundary value nonlinear wave problems

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