Superconvergence of Legendre-Gauss-lobatto interpolation and spectral collocation
DOI10.3934/dcdsb.2023031OpenAlexW4321795941MaRDI QIDQ2697330
Publication date: 18 April 2023
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2023031
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical integration (65D30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
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Cites Work
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- Superconvergence of Jacobi-Gauss-type spectral interpolation
- Fourierization of the Legendre-Galerkin method and a new space-time spectral method
- Inequalities for ultraspherical polynomials and application to quadrature
- The rate of convergence of Fourier coefficients for entire functions of infinite order with application to the Weideman-Cloot Sinh-mapping for pseudospectral computations on an infinite interval
- Jacobi polynomials on the Bernstein ellipse
- Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: eigen-structure analysis based on Fourier approach
- Superconvergence of a Chebyshev spectral collocation method
- On the Optimal Estimates and Comparison of Gegenbauer Expansion Coefficients
- Sharp Error Bounds for Jacobi Expansions and Gegenbauer--Gauss Quadrature of Analytic Functions
- On Error Bounds for Orthogonal Polynomial Expansions and Gauss-Type Quadrature
- Spectral Methods
- A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation
- Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations
- Superconvergence in Finite Element Methods and Meshes That are Locally Symmetric with Respect to a Point
- Computer-based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace's, Poisson's, and the elasticity equations
- Superconvergence Points of Polynomial Spectral Interpolation
- Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations
- On exponential convergence of Gegenbauer interpolation and spectral differentiation
- Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations
- Superconvergence of spectral collocation and $p$-version methods in one dimensional problems
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