Results 81 to 90 of about 8,085 (191)

On Generalized Gaussian Quadratures for Exponentials and Their Applications

Applied and Computational Harmonic Analysis, 2002
This paper is concerned with the approximation, for a given bandlimit \(c>0\) and accuracy \(\varepsilon >0\), of integrals of the form \[ u(x)=\int _{-1}^1 e^{ictx} d\mu (t), \] where \(d\mu (t)=w(t) dt\) is a measure, with the sum \[ \overline u(x)=\sum_{k=1}^{M(c,\varepsilon)}w_ke^{ic\theta _kx}.
Beylkin, G., Monzón, L.
openaire   +2 more sources

Application of Radial Basis Function Method for Solving Nonlinear Integral Equations

Journal of Applied Mathematics, 2014
The radial basis function (RBF) method, especially the multiquadric (MQ) function, was proposed for one- and two-dimensional nonlinear integral equations.
Huaiqing Zhang, Yu Chen, Chunxian Guo, Zhihong Fu   +3 more
doaj   +1 more source

Bayesian Quadrature: Gaussian Processes for Integration

CoRR
Bayesian quadrature is a probabilistic, model-based approach to numerical integration, the estimation of intractable integrals, or expectations. Although Bayesian quadrature was popularised already in the 1980s, no systematic and comprehensive treatment has been published. The purpose of this survey is to fill this gap.
Maren Mahsereci, Toni Karvonen
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Computational aspects of simultaneous Gaussian quadrature

Numerical Algorithms
Abstract In this paper, we derive a new method to compute the nodes and weights of simultaneous n-point Gaussian quadrature rules. The method is based on the eigendecomposition of the banded lower Hessenberg matrix that contains the coefficients of the recurrence relations for the corresponding multiple orthogonal polynomials.
Laudadio T., Mastronardi N., Van Dooren P.   +2 more
openaire   +1 more source

Gaussian–Chebyshev Quadrature Approximation for Analyzing RIS-Assisted Communications

IEEE Access
Analyzing the impact of cascaded channels in reconfigurable intelligent surfaces (RIS)-assisted wireless communication systems presents significant challenges, particularly due to the varying channel models associated with different links. In this paper,
Shuang Zhang, Jie Ren, Huilong Jin
doaj   +1 more source

On Gaussian Quadrature Formulas for the Chebyshev Weight

Journal of Approximation Theory, 1999
The names of Gauss and Chebyshev, great and illustrious as they are, appear in the mathematics literature quite a good number of times. Particularly, Chebyshev polynomials and Gaussian quadrature are well-known independently and to connect them up in a meaningful manner is a task worthy of note. In the paper under review the author has studied in depth
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Enhanced Numerical Techniques for Selective Integration Using Error Correction Methods

Ibn Al-Haitham Journal for Pure and Applied Sciences
Classical numerical integration methods, such as Simpson’s rule and Gaussian quadrature, perform well for smooth functions but lose accuracy near discontinuities.
Israa Essa Abed, Wafaa M. R. Shakir
doaj   +1 more source

A Quantile-Conserving Ensemble Filter Based on Kernel-Density Estimation

Remote Sensing
Ensemble Kalman filters are an efficient class of algorithms for large-scale ensemble data assimilation, but their performance is limited by their underlying Gaussian approximation.
Ian Grooms, Christopher Riedel
doaj   +1 more source

Stability Analysis and Finite Difference Approximations for a Damped Wave Equation with Distributed Delay

Mathematics
This paper presents a fully implicit finite difference scheme for the numerical approximation of a wave equation featuring strong damping and a distributed delay term. The discretization employs second-order accurate approximations in both time and space.
Manal Alotaibi
doaj   +1 more source

Algorithm for the Time-Propagation of the Radial Diffusion Equation Based on a Gaussian Quadrature. [PDF]

PLoS One, 2015
Gillespie D.
europepmc   +1 more source