Efficient mapped Jacobi spectral method for integral equations with two-sided singularities (Q6638818)

scientific article; zbMATH DE number 7944861

Language	Label	Description	Also known as
English	Efficient mapped Jacobi spectral method for integral equations with two-sided singularities	scientific article; zbMATH DE number 7944861

Statements

instance of

scholarly article

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title

Efficient mapped Jacobi spectral method for integral equations with two-sided singularities (English)

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Applied Numerical Mathematics

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publication date

14 November 2024

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zbMATH Keywords

mapped Jacobi function

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spectral method

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error bounds

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Fredholm integral equations

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MaRDI profile type

Publication

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cites work

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Log orthogonal functions: approximation properties and applications

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Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation

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Q3940277

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A Müntz-collocation spectral method for weakly singular Volterra integral equations

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Nonpolynomial Jacobi spectral-collocation method for weakly singular Fredholm integral equations of the second kind

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Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation

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Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind

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Legendre multi-Galerkin methods for Fredholm integral equations with weakly singular kernel and the corresponding eigenvalue problem

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Piecewise Polynomial Collocation for Fredholm Integro-Differential Equations with Weakly Singular Kernels

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Polynomial Approximation on Compact Manifolds and Homogeneous Spaces

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Jacobi collocation method and smoothing transformation for numerical solution of neutral nonlinear weakly singular Fredholm integro-differential equations

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On weakly singular Fredholm integral equations with displacement kernels

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Generalized Jacobi Spectral-Galerkin Method for Nonlinear Volterra Integral Equations with Weakly Singular Kernels

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Spectral Methods

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Müntz--Galerkin Methods and Applications to Mixed Dirichlet--Neumann Boundary Value Problems

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Quadrature methods for periodic singular and weakly singular Fredholm integral equations

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Q5514717

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Q5598946

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Error analysis for mapped Jacobi spectral methods

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An $hp$-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels

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A spectral collocation method for multidimensional nonlinear weakly singular Volterra integral equation

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A new least‐squares‐based reproducing kernel method for solving regular and weakly singular Volterra‐Fredholm integral equations with smooth and nonsmooth solutions

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Mapped spectral collocation methods for Volterra integral equations with noncompact kernels

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Numerical solutions for Fredholm integral equations of the second kind with weakly singular kernel using spectral collocation method

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An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels

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New spectral element method for Volterra integral equations with weakly singular kernel

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Identifiers

DOI

10.1016/j.apnum.2024.08.003

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6638818