Aviso: para depositar documentos, por favor, inicia sesión e identifícate con tu cuenta de correo institucional de la UCM con el botón MI CUENTA UCM. No emplees la opción AUTENTICACIÓN CON CONTRASEÑA
 

Simplified explicit exponential Runge-Kutta methods without order reduction

Loading...
Thumbnail Image

Full text at PDC

Publication date

2024

Advisors (or tutors)

Editors

Journal Title

Journal ISSN

Volume Title

Publisher

Global Science Press
Citations
Google Scholar

Citation

B. Cano y M. J. Moreta. Simplified explicit Exponential Runge-Kutta methods without order reduction, Journal of Computational mathematics (JCM) (2024). 4 Actividad investigadora 11 DOI:10.4208/jcm.2407-m2023-0131.

Abstract

In a previous paper, a technique was suggested to avoid order reduction with any explicit exponential Runge-Kutta method when integrating initial boundary value nonlinear problems with time-dependent boundary conditions. In this paper, we significantly simplify the full discretization formulas to be applied under conditions which are nearly always satisfied in practice. Not only a simpler linear combination of ϕj -functions is given for both the stages and the solution, but also the information required on the boundary is so much simplified that, in order to get local order three, it is no longer necessary to resort to numerical differentiation in space. In many cases, even to get local order 4. The technique is then shown to be computationally competitive against other widely used methods with high enough stiff order through the standard method of lines.

Research Projects

Organizational Units

Journal Issue

Description

Keywords

Collections