Results 231 to 240 of about 884,568 (273)

Quadrature Rules Based on the Arnoldi Process

SIAM Journal on Matrix Analysis and Applications, 2005
Applying a few steps of the Arnoldi process to a large nonsymmetric matrix \(A\) with initial vector \(v\) is shown to induce several quadrature rules. Properties of these rules are discussed, and their application to the computation of inexpensive estimates of the quadratic form \(\langle f,g\rangle:=v^\ast(f(A))^\ast g(A)v\) and related quadratic and
Daniela Calvetti, Sun-Mi Kim, Lothar Reichel   +2 more
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Adaptive quadrature rules for Galerkin BEM

Computers & Mathematics with Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The set of anti-Gaussian quadrature rules for the optimal set of quadrature rules in Borges’ sense

Journal of Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nevena Z. Petrovic, Miroslav S. Pranic, Marija P. Stanic, Tatjana V. Tomovic Mladenovic   +3 more
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Hybrid Gauss-Trapezoidal Quadrature Rules

SIAM Journal on Scientific Computing, 1999
The author derives a new class of quadrature rules prescribed for regular and for singular functions as well. The most important property is the fact that the quadrature weights of these rules are positive and the class includes rules of arbitrarily high-order convergence.
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On Functional Equations Connected with Quadrature Rules

gmj, 2009
Abstract The functional equations of the form are considered. They are connected with quadrature rules of the approximate integration. We show that such equations characterize polynomials in the class of continuous functions.
Koclȩga-Kulpa, B., Szostok, T., Wasowicz, S.   +2 more
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Inversely Symmetric Interpolatory Quadrature Rules

Acta Applicandae Mathematica, 2000
Let \(d\phi (x)\) a symmetric distribution defined on \([-d,d]\), with \(d>0\). Further, let \(d\psi (t)\) be a strong weight distribution defined on \((\beta^2/b,b)\), where \(0< \beta< b\leq \infty\), and such that \[ d\psi (t)/\sqrt t=-d\psi (\beta ^2/t)/\sqrt {\beta ^2/t}. \] The authors consider the transformation \(x(t)=1/(2\sqrt \alpha)(\sqrt t -
De Andrade, E. X. L., Bracciali, Cleonice Fátima, Sri Ranga, A.   +2 more
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A Gauss quadrature rule for hypersingular integrals

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samir A. Ashour, Hany M. Ahmed
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A note on equal coefficient quadrature rules

Applied Mathematics and Computation, 2006
The authors introduce an integration formula with equal coefficients. They present a method based on Newton's equations and the concept of degree of precision to determine the nodes and the coefficients. Finally two examples are given.
S. M. Hashemiparast, M. R. Eslahchi, Mehdi Dehghan 0002   +2 more
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Generalized averaged Szegő quadrature rules

Journal of Computational and Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carl Jagels, Lothar Reichel, Tunan Tang
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On the accuracy of averaged Gauss quadrature rules

Journal of Computational and Applied Mathematics
Contract 451-03-137/2025-03/200105 dated on February 4 ...
Lothar Reichel, Miodrag M. Spalevic
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