[HTML][HTML] Avoiding order reduction when integrating reaction–diffusion boundary value problems with exponential splitting methods
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 …
reaction–diffusion boundary value problems under non-homogeneous boundary conditions …
How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems
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 …
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 …
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 …
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 …
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?
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 …
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
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 …
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
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 …
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
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 …
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 …
initial boundary value problems where the solutions are not periodic in space or do not …