Results 71 to 80 of about 66,815 (179)

Gaussian Filtering Using a Spherical-Radial Double Exponential Cubature

IEEE Open Journal of Signal Processing
Gaussian filters use quadrature rules or cubature rules to recursively solve Gaussian-weighted integrals. Classical and contemporary methods use stable rules with a minimal number of cubature points to achieve the highest accuracy. Gaussian quadrature is
Quade Butler, Youssef Ziada, S. Andrew Gadsden   +2 more
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Numerical Solution of Second-Order Fredholm Integrodifferential Equations with Boundary Conditions by Quadrature-Difference Method

Journal of Applied Mathematics, 2017
In this research, the quadrature-difference method with Gauss Elimination (GE) method is applied for solving the second-order of linear Fredholm integrodifferential equations (LFIDEs).
Chriscella Jalius, Zanariah Abdul Majid
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Four beautiful quadrature rules

, 2019
A framework is presented to compute approximations of an integral $I(f)=\displaystyle \int_a^b f(x) dx$ from a pair of companion rules and its associate rule. We show that an associate rule is a weighted mean of two companion rules. In particular, the trapezoidal (T) and Simpson (S) rules are weighted means of the companion pairs (L,R) and (T,M ...
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Matricial Gaussian quadrature rules: Nonsingular case

Linear Algebra and its Applications
Let $L$ be a linear operator on univariate polynomials of bounded degree, mapping into real symmetric matrices, such that its moment matrix is positive definite. It is known that $L$ admits a finitely atomic positive matrix-valued representing measure $μ$. Any $μ$ with the smallest sum of the ranks of the matricial masses is called minimal.
Zalar, Aljaž, Zobovič, Igor
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Numerical quadrature methods for integrals of singular periodic functions and their application to singular and weakly singular integral equations [PDF]

High accuracy numerical quadrature methods for integrals of singular periodic functions are proposed. These methods are based on the appropriate Euler-Maclaurin expansions of trapezoidal rule approximations and their extrapolations.
Israeli, M., Sidi, A.
core   +1 more source

Some Multistep Iterative Methods for Nonlinear Equation Using Quadrature Rule

International Journal of Analysis and Applications, 2020
We introduce a sequence of third and fourth order iterative schemes to determine the roots of nonlinear equations by applying quadrature formula and decomposition approach.
Gul Sana, Muhammad Aslam Noor, Khalida Inayat Noor   +2 more
doaj  

Lp –Error Bounds of Two and Three–Point Quadrature Rules For Riemann–Stieltjes Integrals

Moroccan Journal of Pure and Applied Analysis, 2018
In this work, Lp-error estimates of general two and three point quadrature rules for Riemann-Stieltjes integrals are given. The presented proofs depend on new triangle type inequalities of Riemann-Stieltjes integrals.
Alomari Mohammad W., Guessab Allal
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Generalized anti-Gauss quadrature rules

Journal of Computational and Applied Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pranić, Miroslav S., Reichel, Lothar
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Fractional Error Bounds for Lobatto Quadrature: A Convexity Approach via Riemann–Liouville Integrals

Axioms
In this paper, we establish a new fractional integral identity linked to the 4-point Lobatto quadrature rule within the Riemann–Liouville fractional calculus framework.
Li Liao, Abdelghani Lakhdari, Muhammad Uzair Awan, Hongyan Xu, Badreddine Meftah   +4 more
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Double inequalities for quadrature formula of Gauss type

Journal of Numerical Analysis and Approximation Theory, 2011
Double inequalities for the remainder term of the Gauss quadrature formula are given. These inequalities are sharp. Will also be considered particular cases for \(n = 1, 2\).
Marius Heljiu
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