Some remarks on a variational method for stiff differential equations
Área de conocimiento
Matemática AplicadaPatrocinadores
Proyecto financiado por la Comunidad Autonoma de la Region de Murcia a traves de la convocatoria de Ayudas a proyectos para el desarrollo de investigacion cientifica y tecnica por grupos competitivos, incluida en el Programa Regional de Fomento de la Investigacion Cientifica y Tecnica (Plan de Actuacion 2018) de la Fundacion Seneca-Agencia de Ciencia y Tecnologia de la Region de Murcia 20928/PI/18, MTM2015-64382-P (MINECO/FEDER). This research was also funded by grants MTM2013-47053-P, PEII-2014-010-P of the Conserjeria de Cultura (JCCM) and by grant GI20152919 of UCLM.Realizado en/con
Universidad Politécnica de Cartagena; Universidad de Cádiz; Universidad de Castilla-La ManchaFecha de publicación
2019-05-20Editorial
MDPICita bibliográfica
Amat S, Legaz MJ, Pedregal P. Some Remarks on a Variational Method for Stiff Differential Equations. Mathematics. 2019; 7(5):455. https://doi.org/10.3390/math7050455Revisión por pares
SiPalabras clave
Variational methodsError functional
Stiff problems
Variable step implementation
Resumen
We have recently proposed a variational framework for the approximation of systems of differential equations. We associated, in a natural way, with the original problem, a certain error functional. The discretization is based on standard descent schemes, and we can use a variable-step implementation. The minimization problem has a unique solution, and the approach has a global convergence. The use of our error-functional strategy was considered by other authors, but using a completely different way to derive the discretization. Their technique was based on the use of an integral form of the Euler equation for a related optimal control problem, combined with an adapted version of the shooting method, and the cyclic coordinate descent method. In this note, we illustrate and compare our strategy to theirs from a numerical point of view.
Colecciones
- Artículos [1734]
El ítem tiene asociados los siguientes ficheros de licencia:
Redes sociales