equal coefficients;
quadrature rules;
numerical integration methods;
degree of precision;
the method of undetermined coefficient;
D O I:
10.1016/j.amc.2005.11.149
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper we introduce an integration method with equal coefficient in the following form: integral(b)(a) w(x)f(x)dx similar or equal to C-n Sigma(n)(i=1) f (x(i)). Then by using the formulas of Newton's equations and degree of precision we introduce a method which express the nodes and coefficients in this integration formulas. Finally some examples are presented to illustrate the procedure. (c) 2006 Published by Elsevier Inc.
机构:
Univ Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
de Andrade, EXL
Bracciali, CF
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机构:
Univ Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
Bracciali, CF
Ranga, AS
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机构:
Univ Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil