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Ver términos de la licenciaSalcedo Ruíz, J., et al. (2006). A numerical study of stiffness effects on some high order splitting methods. Revista Mexicana de Física; Vol 52, No 2: 129-0. Recuperado de https://repositorio.unam.mx/contenidos/41311
Autor(es)
Salcedo Ruíz, J.; Sánchez Bernabe, F. J.
Tipo
Artículo de Investigación
Área del conocimiento
Físico Matemáticas y Ciencias de la Tierra
Título
A numerical study of stiffness effects on some high order splitting methods
Fecha
2006-01-01
Resumen
In this paper we compare operator splitting methods of first, second, third and fourth orders that are applied to problems with stiff matrices. In order to efficiently solve the resultant subproblems is necessary to use implicit Runge-Kutta methods. It is known that, in this context, the precision order of operator splitting schemes is reduced. Furthermore, we propose a fifth order operator splitting method that is obtained by applying Richardson extrapolation to a fourth order method. All methods are tested with a model problem with matrices such that its condition number is taken up to 20,000. Our conclusion is that order reduction is more severe for low order operator splitting methods.
Tema
Operator splitting; stiff matrix; Richardson extrapolation; implicit Runge-Kutta methods
Idioma
eng
ISSN
2683-2224 (digital); 0035-001X (impresa)
