TY - JOUR 
A1 - Amat Plata, Sergio
AU - José Legaz, María
AU - Pedregal Tercero, Pablo
T1 - Some remarks on a variational method for stiff differential equations
Y1 - 2019
SN - 2227-7390
UR - http://hdl.handle.net/10317/9569
AB - 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.
KW - Matemática Aplicada
KW - Variational methods
KW - Error functional
KW - Stiff problems
KW - Variable step implementation
KW - 12 Matemáticas
LA - eng
PB - MDPI
ER -