Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
From MaRDI portal
Publication:596802
DOI10.1016/j.jat.2004.03.008zbMath1057.41003OpenAlexW2133964250MaRDI QIDQ596802
Publication date: 10 August 2004
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2004.03.008
Related Items
Spectral method on quadrilaterals, Numerical methods for nonlocal and fractional models, A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems, A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation, High Spots for the Ice-Fishing Problem with Surface Tension, Unnamed Item, An operational approach for solving fractional pantograph differential equation, Spectral Galerkin method for state constrained optimal control of fractional advection‐diffusion‐reaction equations, A fictitious domain spectral method for solving the Helmholtz equation in exterior domains, Optimal error estimates for Chebyshev approximations of functions with endpoint singularities in fractional spaces, A Jacobi spectral method for calculating fractional derivative based on mollification regularization, Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations, On spectral Petrov-Galerkin method for solving optimal control problem governed by fractional diffusion equations with fractional noise, A pseudo‐operational collocation method for variable‐order time‐space fractional KdV–Burgers–Kuramoto equation, Numerical approach of flow and mass transfer on nonlinear stretching sheet with chemically reactive species using rational Jacobi collocation method, Mixed Spectral Method for Heat Transfer Using Generalised Hermite Functions and Legendre Polynomials, Unnamed Item, Fast structured Jacobi-Jacobi transforms, Optimal convergence estimates for the trace of the polynomial $L^{2}$-projection operator on a simplex, Unnamed Item, Regularity theory and high order numerical methods for the (1D)-fractional Laplacian, Jacobi and Laguerre quasi-orthogonal approximations and related interpolations, On exponential convergence of Gegenbauer interpolation and spectral differentiation, Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel, Analysis of spectral approximations using prolate spheroidal wave functions, Unnamed Item, Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel, On spectral approximations in elliptical geometries using Mathieu functions, Jacobi rational approximation and spectral method for differential equations of degenerate type, MIXED JACOBI-FOURIER SPECTRAL METHOD FOR FISHER EQUATION, Optimal Regularity and Error Estimates of a Spectral Galerkin Method for Fractional Advection-Diffusion-Reaction Equations, Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces, Convergence Rates on Spectral Orthogonal Projection Approximation for Functions of Algebraic and Logarithmatic Regularities, Spectral method for vorticity-stream function form of Navier-Stokes equations with slip boundary conditions, Numerical Approximation of Optimal Convergence for Fractional Elliptic Equations with Additive Fractional Gaussian Noise, An Efficient Spectral Method for Elliptic PDEs in Complex Domains with Circular Embedding, MIXED PSEUDOSPECTRAL METHOD FOR HEAT TRANSFER, Orthogonal polynomial projection error measured in Sobolev norms in the unit ball, General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation, Error estimate for indirect spectral approximation of optimal control problem governed by fractional diffusion equation with variable diffusivity coefficient, Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation, Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations, An efficient numerical method for solving a class of variable-order fractional mobile-immobile advection-dispersion equations and its convergence analysis, Legendre spectral collocation methods for Volterra delay-integro-differential equations, A spectral method for fourth-order mixed inhomogeneous boundary value problem in three dimensions, Approximation by polynomials in Sobolev spaces with Jacobi weight, Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the \(p\)-version of the finite element method, An integral operational matrix based on Jacobi polynomials for solving fractional-order differential equations, Generalized Jacobi approximation in multiple dimensions and its applications, Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel, Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers' equations numerically, Piecewise spectral collocation method for system of Volterra integral equations, A Petrov-Galerkin spectral method for fourth-order problems, Spectral methods for weakly singular Volterra integral equations with pantograph delays, Implicit Runge-Kutta and spectral Galerkin methods for Riesz space fractional/distributed-order diffusion equation, A stable collocation approach to solve a neutral delay stochastic differential equation of fractional order, Generalized Jacobi-Gauss-Lobatto interpolation, Fourierization of the Legendre-Galerkin method and a new space-time spectral method, Multi-step Chebyshev spectral collocation method for Volterra integro-differential equations, Optimal Error Estimates of Spectral Petrov--Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations, Exponential convergence of the \(hp\) virtual element method in presence of corner singularities, Direct and inverse approximation theorems for the \(p\)-version of the finite element method in the framework of weighted Besov spaces. III: Inverse approximation theorems, On approximation of functions on the half-line by Laguerre polynomials and functions, Spectral method for vorticity-stream function form of Navier-Stokes equations in an infinite channel with slip boundary conditions, A coupled Legendre-Laguerre spectral-element method for the Navier-Stokes equations in unbounded domains, Composite Laguerre-Legendre spectral method for fourth-order exterior problems, Petrov-Galerkin spectral element method for mixed inhomogeneous boundary value problems on polygons, Error estimates of spectral Galerkin methods for a linear fractional reaction-diffusion equation, A spectral method for solving nonhomogeneous Neumann boundary value problems on quadrilaterals, Implicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space distributed-order diffusion equation, A Legendre-Gauss collocation method for neutral functional-differential equations with proportional delays, Optimal error estimates of spectral Galerkin method for mixed diffusion equations, Jacobi spectral method with essential imposition of Neumann boundary condition, An improved estimate of PSWF approximation and approximation by Mathieu functions, A Jacobi-Jacobi dual-Petrov-Galerkin method for third- and fifth-order differential equations, Spectral method for Navier-Stokes equations with slip boundary conditions, Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth data, Jacobian-predictor-corrector approach for fractional differential equations, A collocation method for generalized nonlinear Klein-Gordon equation, Pseudospectral method for quadrilaterals, A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients, A spectral Galerkin approximation of optimal control problem governed by fractional advection-diffusion-reaction equations, On shifted Jacobi spectral approximations for solving fractional differential equations, Regularity of the solution to fractional diffusion, advection, reaction equations in weighted Sobolev spaces, Composite spectral method for exterior problems with polygonal obstacles, Some progress in spectral methods, Numerical solution of nonlinear weakly singular Volterra integral equations of the first kind: an \textit{hp}-version collocation approach, Fast spectral Petrov-Galerkin method for fractional elliptic equations, Spectral element method for mixed inhomogeneous boundary value problems of fourth order, Solution of weakly singular fractional integro-differential equations by using a new operational approach, On Sobolev orthogonal polynomials, Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations, A multistep Legendre pseudo-spectral method for Volterra integral equations, Approximations on \(\mathrm{SO}(3)\) by Wigner D-matrix and applications, Composite generalized Laguerre-Legendre pseudospectral method for Fokker-Planck equation in an infinite channel, Wellposedness of the two-sided variable coefficient Caputo flux fractional diffusion equation and error estimate of its spectral approximation, Efficient spectral-Galerkin methods for polar and cylindrical geometries, Irrational approximations and their applications to partial differential equations in exterior domains, Composite Laguerre-Legendre spectral method for exterior problems, A Jacobi dual-Petrov-Galerkin method for solving some odd-order ordinary differential equations, A Jacobi dual-Petrov Galerkin-Jacobi collocation method for solving Korteweg-de Vries equations, Pseudospectral method for Fisher equation in a disk, A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids, Direct solution of a type of constrained fractional variational problems via an adaptive pseudospectral method, Error analysis of Legendre spectral method with essential imposition of Neumann boundary condition, Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval, Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension, An $hp$-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays, An efficient collocation algorithm for multidimensional wave type equations with nonlocal conservation conditions, General linear and spectral Galerkin methods for the Riesz space fractional diffusion equation, Convergence of a \(p\)-version/\(hp\)-version method for fractional differential equations, Superconvergence of the \(h\)-\(p\) version of the finite element method in one dimension, Orthogonal Jacobi rational functions and spectral methods on the half line, Jacobi-Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems, An indirect finite element method for variable-coefficient space-fractional diffusion equations and its optimal-order error estimates, Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations, A multistep Legendre pseudo-spectral method for nonlinear Volterra integral equations, Generalized Jacobi polynomials/functions and their applications, Sharp estimates for the polynomial approximation in weighted Sobolev spaces, Jacobi collocation methods for solving generalized space-fractional Burgers' equations, \(hp\)-version collocation method for a class of nonlinear Volterra integral equations of the first kind, Diagonalized Gegenbauer rational spectral methods for second- and fourth-order problems on the whole line, Legendre-Gauss collocation methods for ordinary differential equations, Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations, Asymptotics of the generalized Gegenbauer functions of fractional degree, Spectral Galerkin approximation of optimal control problem governed by Riesz fractional differential equation, Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation, Legendre and Chebyshev dual-Petrov-Galerkin methods for hyperbolic equations, Chebyshev polynomials of sixth kind for solving nonlinear fractional PDEs with proportional delay and its convergence analysis, A new numerical algorithm for solving a class of fractional advection-dispersion equation with variable coefficients using Jacobi polynomials, Spectral methods for weakly singular Volterra integral equations with smooth solutions, On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation, Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature, Second order Jacobi approximation with applications to fourth-order differential equations, Error analysis for mapped Jacobi spectral methods, Spectral method for fourth-order problems on quadrilaterals, Convergence analysis of the multistep Legendre pseudo-spectral method for Volterra integral equations with vanishing delays
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error analysis of spectral method on a triangle
- Spectral methods on triangles and other domains
- Gegenbauer approximation and its applications to differential equations on the whole line
- Techniques of scientific computing (Part 2)
- Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations
- Optimal estimates for lower and upper bounds of approximation errors in the \(p\)-version of the finite element method in two dimensions
- Approximation Results for Orthogonal Polynomials in Sobolev Spaces
- On the Convergence of the p-Version of the Boundary Element Galerkin Method
- Spectral Methods and Their Applications
- A fast algorithm for Gaussian type quadrature formulae with mixed boundary conditions and some lumped mass spectral approximations
- Chebyshev rational spectral and pseudospectral methods on a semi‐infinite interval
- Direct and Inverse Approximation Theorems for the p-Version of the Finite Element Method in the Framework of Weighted Besov Spaces. Part I: Approximability of Functions in the Weighted Besov Spaces
- On the Gibbs Phenomenon IV: Recovering Exponential Accuracy in a Subinterval from a Gegenbauer Partial Sum of a Piecewise Analytic Function
- Gegenbauer Approximation in Certain Hilbert Spaces and Its Applications to Singular Differential Equations
- A rational approximation and its applications to differential equations on the half line
- Jacobi interpolation approximations and their applications to singular differential equations