AN IMPLEMENTATION OF THE COLLOCATION METHOD FOR INITIAL VALUE PROBLEMS

Autor:	Rafael G. Campos, Francisco Javier Domínguez Mota
Rok vydání:	2013
Předmět:	Mathematical optimization Matrix (mathematics) Collocation Modeling and Simulation Collocation method Initial value problem Orthogonal collocation Superconvergence Mathematics::Numerical Analysis Computer Science Applications Mathematics Interpolation Polynomial interpolation
Zdroj:	International Journal of Modeling, Simulation, and Scientific Computing. :1350006
ISSN:	1793-9615 1793-9623
DOI:	10.1142/s1793962313500062
Popis:	An implementation of the standard collocation method based on polynomial interpolation is presented in a matrix framework in this paper. The underlying differentiation matrix can be partitioned to yield a superconvergent implicit multistep-like method to solve the initial value problem numerically. The first- and second-order versions of this method are L-stable.
Databáze:	OpenAIRE
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