Jacobi spectral method with essential imposition of Neumann boundary condition

DOI10.1016/j.apnum.2012.03.004zbMath1246.65223OpenAlexW2032693713WikidataQ59241340 ScholiaQ59241340MaRDI QIDQ425361

Xu-hong Yu, Zhong-qing Wang

Publication date: 8 June 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.03.004

zbMATH Keywords

convergencenumerical resultserror boundNeumann boundary conditionspectral methodelliptic equationJacobi quasi-orthogonal approximation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items (4)

Galerkin–Legendre spectral method for Neumann boundary value problems in three dimensions ⋮ An efficient spectral-collocation difference method for two-dimensional Schrödinger equation with Neumann boundary conditions ⋮ Pseudospectral method for Fisher equation in a disk ⋮ MIXED JACOBI-FOURIER SPECTRAL METHOD FOR FISHER EQUATION

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
• Composite generalized Laguerre-Legendre pseudospectral method for Fokker-Planck equation in an infinite channel
• Composite Laguerre-Legendre spectral method for exterior problems
• Jacobi spectral Galerkin method for elliptic Neumann problems
• Stable vortex solutions to the Ginzburg-Landau equation with a variable coefficient in a disk
• Essential imposition of Neumann condition in Galerkin--Legendre elliptic solvers
• Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations
• Galerkin orthogonal polynomials
• Error analysis of Legendre spectral method with essential imposition of Neumann boundary condition
• Optimal spectral-Galerkin methods using generalized Jacobi polynomials
• Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel
• Spectral Methods and Their Applications
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials
• Spectral Methods
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
• Jacobi interpolation approximations and their applications to singular differential equations

This page was built for publication: Jacobi spectral method with essential imposition of Neumann boundary condition