RT journal article
T1 Some Remarks on a Variational Method for Stiff Differential Equations
A1 Amat, Sergio
A1 Legaz, María José
A1 Pedregal, Pablo
A2 Ciencias y Técnicas de la NavegaciónMáquinas y Motores Térmicos y Teoría de la Señal...
K1 variational methods
K1 error functional
K1 stiff problems
K1 variable step implementation
AB We have recently proposed a variational framework for the approximation of systemsof differential equations. We associated, in a natural way, with the original problem, a certainerror functional. The discretization is based on standard descent schemes, and we can use avariable-step implementation. The minimization problem has a unique solution, and the approachhas 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 theuse of an integral form of the Euler equation for a related optimal control problem, combined withan 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.
PB MDPI
SN 2227-7390
YR 2019
FD 2019-05
LK http://hdl.handle.net/10498/21612
UL http://hdl.handle.net/10498/21612
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-nov-2026