نتایج جستجو برای: quadrature rules

تعداد نتایج: 137797  

Journal: :Mathematics of Computation 1976

1999
WALTER GAUTSCHI W. Gautschi

Various concepts of orthogonality on the real line are reviewed that arise in connection with quadrature rules. Orthogonality relative to a positive measure and Gauss-type quadrature rules are classical. More recent types of orthogonality include orthogonality relative to a sign-variable measure, which arises in connection with Gauss-Kronrod quadrature, and power (or implicit) orthogonality enc...

Journal: :SIAM Journal on Scientific Computing 2005

Journal: :Journal of Computational and Applied Mathematics 2009

Journal: :International Journal for Numerical Methods in Engineering 2009

2009
GRADIMIR V. MILOVANOVIĆ ALEKSANDAR S. CVETKOVIĆ A. S. CVETKOVIĆ

Abstract: For finite positive Borel measures supported on the real line we consider a new type of quadrature rule with maximal algebraic degree of exactness, which involves function derivatives. We prove the existence of such quadrature rules and describe their basic properties. Also, we give an application of these quadrature rules to the solution of a Cauchy problem without solving it directl...

Journal: :Computers & Mathematics with Applications 2020

2008
Linbo Zhang Tao Cui Hui Liu H. LIU

We present a program for computing symmetric quadrature rules on triangles and tetrahedra. A set of rules are obtained by using this program. Quadrature rules up to order 21 on triangles and up to order 14 on tetrahedra have been obtained which are useful for use in finite element computations. All rules presented here have positive weights with points lying within the integration domain. Mathe...

2012
Shu-Xin Miao

In this paper, the Gaussian type quadrature rules for fuzzy functions are discussed. The errors representation and convergence theorems are given. Moreover, four kinds of Gaussian type quadrature rules with error terms for approximate of fuzzy integrals are presented. The present paper complements the theoretical results of the paper by T. Allahviranloo and M. Otadi [T. Allahviranloo, M. Otadi,...

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