[HTML][HTML] Avoiding order reduction when integrating reaction–diffusion boundary value problems with exponential splitting methods

I Alonso-Mallo, B Cano, N Reguera - Journal of Computational and Applied …, 2019 - Elsevier
In this paper, we suggest a technique to avoid order reduction in time when integrating
reaction–diffusion boundary value problems under non-homogeneous boundary conditions …

How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems

B Cano, N Reguera - BIT Numerical Mathematics, 2022 - Springer
It is well known that Lawson methods suffer from a severe order reduction when integrating
initial boundary value problems where the solutions are not periodic in space or do not …

Comparison of efficiency among different techniques to avoid order reduction with Strang splitting

I Alonso‐Mallo, B Cano… - Numerical Methods for …, 2021 - Wiley Online Library
In this article, we offer a comparison in terms of computational efficiency between two
techniques to avoid order reduction when using Strang method to integrate nonlinear initial …

[HTML][HTML] Avoiding order reduction when integrating nonlinear Schrödinger equation with Strang method

B Cano, N Reguera - Journal of Computational and Applied Mathematics, 2017 - Elsevier
In this paper a technique is suggested to avoid order reduction when using Strang method to
integrate nonlinear Schrödinger equation subject to time-dependent Dirichlet boundary …

Exponential quadrature rules without order reduction for integrating linear initial boundary value problems

B Cano, MJ Moreta - SIAM Journal on Numerical Analysis, 2018 - SIAM
In this paper a technique is suggested to integrate linear initial boundary value problems
with exponential quadrature rules in such a way that the order in time is as high as possible …

Exponential Rosenbrock methods without order reduction when integrating nonlinear initial value problems

B Cano, MJ Moreta - arXiv preprint arXiv:2307.12722, 2023 - arxiv.org
A technique is described in this paper to avoid order reduction when integrating reaction-
diffusion initial boundary value problems with explicit exponential Rosenbrock methods. The …

Order reduction and how to avoid it when Lawson methods integrate reaction-diffusion boundary value problems

B Cano, N Reguera - arXiv preprint arXiv:1909.12659, 2019 - arxiv.org
It is well known that Lawson methods suffer from a severe order reduction when integrating
initial boundary value problems where the solutions are not periodic in space or do not …

Avoiding order reduction when integrating reaction–diffusion boundary value problems with exponential splitting methods

B Cano Urdiales, I Alonso Mallo, N Reguera - 2019 - uvadoc.uva.es
In this paper, we suggest a technique to avoid order reduction in time when integrating
reaction–diffusion boundary value problems under non-homogeneous boundary conditions …

Exponential quadrature rules without order reduction for integrating linear initial boundary value problems

B Cano Urdiales, MJ Moreta - 2018 - uvadoc.uva.es
In this paper a technique is suggested to integrate linear initial boundary value problems
with exponential quadrature rules in such a way that the order in time is as high as possible …

Avoiding order reduction when integrating nonlinear Schrödinger equation with Strang method

B Cano Urdiales, N Reguera - 2017 - uvadoc.uva.es
In this paper a technique is suggested to avoid order reduction when using Strang method to
integrate nonlinear Schrödinger equation subject to time-dependent Dirichlet boundary …