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Polynomial approximation of nonlinear differential systems with prefixed accuracy

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Polynomial approximation of nonlinear differential systems with prefixed accuracy

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Chen Charpentier, BM.; Jódar Sánchez, LA.; Telyakovskiy, AS. (2011). Polynomial approximation of nonlinear differential systems with prefixed accuracy. Applied Mathematics and Computation. 218(5):1650-1657. doi:10.1016/j.amc.2011.06.044

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Title: Polynomial approximation of nonlinear differential systems with prefixed accuracy
Author: Chen Charpentier, Benito Miguel Jódar Sánchez, Lucas Antonio Telyakovskiy, Aleksey S.
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
This paper presents a method for constructing polynomial approximations of the solutions of nonlinear initial value systems of differential equations. Given an a priori chosen accuracy, the degree of the vector polynomial ...[+]
Subjects: Nonlinear differential systems , Polynomial approximations , Approximate solution , Computational costs , Initial values , Required precision , Differential equations , Nonlinear equations , Polynomial approximation
Copyrigths: Cerrado
Source:
Applied Mathematics and Computation. (issn: 0096-3003 )
DOI: 10.1016/j.amc.2011.06.044
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.amc.2011.06.044
Type: Artículo

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