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

Author:

Alonso-Mallo I1,Cano B1,Reguera N2

Affiliation:

1. IMUVA, Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Valladolid, Paseo de Belén, Valladolid, Spain

2. IMUVA, Departamento de Matemáticas y Computación, Escuela Politécnica Superior, Universidad de Burgos, Avda. Cantabria, Burgos, Spain

Funder

Ministerio de Ciencia e Innovación

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Reference22 articles.

1. Runge–Kutta methods without order reduction for linear initial boundary value problems.;Alonso-Mallo;Numer. Math.,2002

2. Spectral-fractional step Runge–Kutta discretizations for initial boundary value problems with time-dependent boundary conditions.;Alonso-Mallo;Math. Comp.,2004

3. Avoiding order reduction when integrating linear initial boundary value problems with Lawson methods.;Alonso-Mallo;IMA J. Numer. Anal.,2016

4. Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods.;Alonso-Mallo;Appl. Numer. Math.,2017

5. Avoiding order reduction when integrating reaction-diffusion boundary value problems with exponential splitting methods.;Alonso-Mallo,2017

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