Results 11 to 20 of about 71 (69)
, 2022 In the present paper in L(m)(−1, 1) space the optimal quadrature formulas with derivatives are constructed for approximate solution of a singular integral equation of the first kind with Cauchy kernel.
SHADIMETOV, Kholmat M. +1 more
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Acceleration of Runge‐Kutta integration schemes
Discrete Dynamics in Nature and Society, Volume 2004, Issue 2, Page 307-314, 2004., 2004 A simple accelerated third‐order Runge‐Kutta‐type, fixed time step, integration scheme that uses just two function evaluations per step is developed. Because of the lower number of function evaluations, the scheme proposed herein has a lower computational cost than the standard third‐order Runge‐Kutta scheme while maintaining the same order of local ...
Phailaung Phohomsiri, Firdaus E. Udwadia
wiley +1 more source
Perturbations of an Ostrowski type inequality and applications
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 8, Page 491-500, 2002., 2002 Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid‐point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds. Applications in numerical integration are also given.
Nenad Ujević
wiley +1 more source
A new numerical quadrature formula on the unit circle [PDF]
, 2007 11 pages, no figures.-- MSC2000 codes: 33C47, 42C05, 65D30.MR#: MR2335810 (2008i:33038)Zbl#: Zbl 1126.65023In this paper we study a quadrature formula for Bernstein–Szegö measures on the unit circle with a fixed number of nodes and unlimited exactness ...
Marcellán, Francisco +3 more
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On the approximation of an integral by a sum of random variables
International Journal of Stochastic Analysis, Volume 11, Issue 2, Page 107-114, 1998., 1997 We approximate the integral of a smooth function on [0, 1], where values are only known at n random points (i.e., a random sample from the uniform‐(0, 1) distribution), and at 0 and 1. Our approximations are based on the trapezoidal rule and Simpson′s rule (generalized to the non‐equidistant case), respectively.
John H. J. Einmahl +1 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper introduces a new numerical method for solving a class of two‐dimensional fractional partial Volterra integral equations (2DFPVIEs). Our approach uses Lucas polynomials (LPs) to construct operational matrices (OMs) that effectively transform the complex fractional‐order equations into a more manageable system of algebraic equations.
S. S. Gholami +4 more
wiley +1 more source
Computing the matrix exponential with the double exponential formula
Special MatricesThis article considers the computation of the matrix exponential eA{{\rm{e}}}^{A} with numerical quadrature. Although several quadrature-based algorithms have been proposed, they focus on (near) Hermitian matrices.
Tatsuoka Fuminori +3 more
doaj +1 more source
Polyharmonic Hardy Spaces on the Klein-Dirac Quadric with Application to Polyharmonic Interpolation and Cubature Formulas [PDF]
, 2012 2010 Mathematics Subject Classification: Primary 65D30, 32A35, Secondary 41A55.In the present paper we introduce a new concept of Hardy type space naturally defined on the Klein-Dirac quadric.
Kounchev, Ognyan, Render, Hermann
core
Splines in Numerical Integration [PDF]
, 2010 AMS Subj. Classification: 65D07, 65D30.We gave a short review of several results which are related to the role of splines (cardinal, centered or interpolating) in numerical integration.
Udovičić, Zlatko
core
APPROXIMATION ON THE SPHERE USING RADIAL BASIS FUNCTIONS PLUS POLYNOMIALS
, 2008 . In this paper we analyse a hybrid approximation of functions on the sphere S 2 ⊂ R 3 by radial basis functions combined with polynomials, with the radial basis functions assumed to be generated by a (strictly) positive definite kernel.
Alvise Sommariva +3 more
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