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

DOI10.1093/imanum/drw052zbMath1433.65119OpenAlexW4251534120MaRDI QIDQ4683822

Nuria Reguera, Begoña Cano, Isaías Alonso-Mallo

Publication date: 26 September 2018

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://uvadoc.uva.es/handle/10324/24372

zbMATH Keywords

initial boundary value problemsexponential methodsLawson methodsavoiding order reduction

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for stiff equations (65L04)

Related Items (7)

Boundary treatment of implicit-explicit Runge-Kutta method for hyperbolic systems with source terms ⋮ How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems ⋮ Comparison of efficiency among different techniques to avoid order reduction with Strang splitting ⋮ 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 ⋮ Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass ⋮ A modified Gautschi's method without order reduction when integrating boundary value nonlinear wave problems

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