Results 21 to 30 of about 67,137 (234)
SoftwareX, 2022 We present a C++ package entitled 1D Controlled Source Electromagnetic Method using Quadrature With Extrapolation (1DCSEMQWE), which computes the electromagnetic field for a one-dimensional model in geophysics.
Pham Ngoc Kien, Sang-Mook Lee
doaj +1 more source
Journal of Mathematics, 2023 Laplace transform has been used for solving differential equations of fractional order either PDEs or ODEs. However, using the Laplace transform sometimes leads to solutions in Laplace space that are not readily invertible to the real domain by ...
null Kamran +4 more
doaj +1 more source
Gauss–Hermite interval quadrature rule
Computers & Mathematics with Applications, 2007 Let \({\mathbf h}= (h_k)\in\mathbb{R}^n\), \(H\), \(M\), \(\varepsilon_0> 0\), \({\mathbf H}^H_n= \{{\mathbf h}\in\mathbb{R}^n\mid h_k\geq 0\), \(k=1,\dots, n\), \(\sum^n_{k=1} h_k< {\mathbf H}\}\), \({\mathbf X}_n({\mathbf h})= \{{\mathbf x}\in \mathbb{R}^n\mid -\infty< x_1- h_1\leq x_1+ h_1 0\) there exist \(\varepsilon_0> 0\) and \(M> 0\) such that ...
Milovanović, Gradimir V. +1 more
openaire +1 more source
Length Scales in Bayesian Automatic Adaptive Quadrature
EPJ Web of Conferences, 2016 Two conceptual developments in the Bayesian automatic adaptive quadrature approach to the numerical solution of one-dimensional Riemann integrals [Gh. Adam, S. Adam, Springer LNCS 7125, 1–16 (2012)] are reported.
Adam Gh., Adam S.
doaj +1 more source
Spherical Simplex-Radial Cubature Quadrature Kalman Filter
Journal of Electrical and Computer Engineering, 2017 A spherical simplex-radial cubature quadrature Kalman filter (SSRCQKF) is proposed in order to further improve the nonlinear filtering accuracy. The Gaussian probability weighted integral of the nonlinear function is decomposed into spherical integral ...
Zhaoming Li, Wenge Yang
doaj +1 more source
The linear barycentric rational quadrature method for Volterra integral equations [PDF]
, 2014 We introduce two direct quadrature methods based on linear rational interpolation for solving general Volterra integral equations of the second kind. The first, deduced by a direct application of linear barycentric rational quadrature given in former ...
Berrut, Jean-Paul +2 more
core +1 more source
Gauss–Laguerre interval quadrature rule
Journal of Computational and Applied Mathematics, 2005 A Gaussian interval quadrature formula with respect to the positive weight \(w\) is a quadrature formula of the form \[ \int _a^bfw\,dx\approx \sum _{k=1}^n \frac {\mu _k}{2h_k}\int _{x_k-h_k}^{x_k+h_k}fw\,dx, \] which integrates exactly all polynomials of degree less than \(2n\).
Milovanović, Gradimir V. +1 more
openaire +2 more sources
A note on a family of quadrature formulas and some applications [PDF]
Opuscula Mathematica, 2008 In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, midpoint rule and two-point Gauss rule.
Bogusław Bożek +2 more
doaj
Application of Newton–Cotes quadrature rule for nonlinear Hammerstein integral equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 A numerical method for solving Fredholm and Volterra integral equations of the second kind is presented. The method is based on the use of the Newton–Cotes quadrature rule and Lagrange interpolation polynomials.
A. Shahsavaran
doaj +1 more source
Generalized Averaged Gauss Quadrature Rules: A Survey
MathematicsConsider the problem of approximating an integral of a real-valued integrand on a real interval by a Gauss quadrature rule. The classical approach to estimate the quadrature error of a Gauss rule is to evaluate an associated Gauss–Kronrod rule and ...
Dušan L. Djukić +3 more
doaj +1 more source