[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 …

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

I Alonso-Mallo, B Cano… - IMA Journal of Numerical …, 2018 - academic.oup.com
It is well known the order reduction phenomenon which arises when exponential methods
are used to integrate time-dependent initial boundary value problems, so that the classical …

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 …

A comparison of boundary correction methods for Strang splitting

L Einkemmer, A Ostermann - arXiv preprint arXiv:1609.05505, 2016 - arxiv.org
In this paper we consider splitting methods in the presence of non-homogeneous boundary
conditions. In particular, we consider the corrections that have been described and analyzed …

Why improving the accuracy of exponential integrators can decrease their computational cost?

B Cano, N Reguera - Mathematics, 2021 - mdpi.com
In previous papers, a technique has been suggested to avoid order reduction when
integrating initial boundary value problems with several kinds of exponential 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 …

[PDF][PDF] Why improving the accuracy of exponential integrators can decrease their computational cost?, Mathematics 2021, 9, 1008

B Cano, N Reguera - 2021 - pdfs.semanticscholar.org
In previous papers, a technique has been suggested to avoid order reduction when
integrating initial boundary value problems with several kinds of exponential methods. The …

A modified Gautschi's method without order reduction when integrating boundary value nonlinear wave problems

B Cano, MJ Moreta - Applied Mathematics and Computation, 2020 - Elsevier
In this paper we analyse the order reduction which turns up when integrating nonlinear
wave problems with non-homogeneous and time-dependent boundary conditions with the …

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

B Cano Urdiales - 2022 - uvadoc.uva.es
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 …