Approximation of solutions of nonlinear initial-value problems by B-spline functions

Krzysztof Wesołowski. "Approximation of solutions of nonlinear initial-value problems by B-spline functions." Banach Center Publications 92.1 (2011): 391-398. <http://eudml.org/doc/282266>.

@article{KrzysztofWesołowski2011,
abstract = {This note is motivated by [GGG], where an algorithm finding functions close to solutions of a given initial value-problem has been proposed (this algorithm has been recalled in Theorem 2.2). In this paper we present a commonly used definition and basic facts concerning B-spline functions and use them to improve the mentioned algorithm. This leads us to a better estimate of the Cauchy problem solution under some additional assumption on f appearing in the Cauchy problem. We also estimate the accuracy of the method (Theorem 2.6).},
author = {Krzysztof Wesołowski},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {391-398},
title = {Approximation of solutions of nonlinear initial-value problems by B-spline functions},
url = {http://eudml.org/doc/282266},
volume = {92},
year = {2011},
}

TY - JOUR
AU - Krzysztof Wesołowski
TI - Approximation of solutions of nonlinear initial-value problems by B-spline functions
JO - Banach Center Publications
PY - 2011
VL - 92
IS - 1
SP - 391
EP - 398
AB - This note is motivated by [GGG], where an algorithm finding functions close to solutions of a given initial value-problem has been proposed (this algorithm has been recalled in Theorem 2.2). In this paper we present a commonly used definition and basic facts concerning B-spline functions and use them to improve the mentioned algorithm. This leads us to a better estimate of the Cauchy problem solution under some additional assumption on f appearing in the Cauchy problem. We also estimate the accuracy of the method (Theorem 2.6).
LA - eng
UR - http://eudml.org/doc/282266
ER -