Ponencia
Métodos linealmente implícitos de tipo Runge-Kutta de Pasos Fraccionarios aplicados a problemas parabólicos semilineales: reducción de orden y técnicas para evitarla
Autor/es | Bujanda Cirauqui, Blanca
Jorge Ulecia, Juan Carlos Moreta Santos, María Jesús |
Fecha de publicación | 2007-09 |
Fecha de depósito | 2016-02-17 |
Publicado en |
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Resumen | A linearly implicit variant of fractional-step Runge-Kutta methods was introduced in [2] B. Bujanda & J.C. Jorge, Efficient linearly implicit methods for nonlinear multidimensional parabolic problems, J. Comput. Appl. Math. ... A linearly implicit variant of fractional-step Runge-Kutta methods was introduced in [2] B. Bujanda & J.C. Jorge, Efficient linearly implicit methods for nonlinear multidimensional parabolic problems, J. Comput. Appl. Math. 164/165 (2004), 159–174 in order to integrate efficiently semi-linear multidimensional parabolic problems. The computational cost reduction of these methods is remarkable, compared to classical implicit methods but they present the classical drawback of order reduction which has its maximum relevance when they are applied to problems with boundary conditions depending on the time. In this paper we show a technique which permits us to avoid this reduction in some cases |
Identificador del proyecto | MTM 2004-08012
MTM 2004-05521 05/R-8 |
Cita | Bujanda Cirauqui, B., Jorge Ulecia, J.C. y Moreta Santos, M.J. (2007). Métodos linealmente implícitos de tipo Runge-Kutta de Pasos Fraccionarios aplicados a problemas parabólicos semilineales: reducción de orden y técnicas para evitarla. |
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