A spectral method for parabolic differential equations

DOI10.1007/s11075-012-9620-8zbMath1308.65170arXiv1203.6709OpenAlexW2110719410MaRDI QIDQ2376360

Olaf Hansen, David Da-Kwun Chien, Kendall E. Atkinson

Publication date: 21 June 2013

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6709

zbMATH Keywords

parabolic equationspectral methodmultivariable polynomial approximation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

A Novel Method to Solve Nonlinear Klein-Gordon Equation Arising in Quantum Field Theory Based on Bessel Functions and Jacobian Free Newton-Krylov Sub-Space Methods, Evaluating polynomials over the unit disk and the unit ball, A spectral method for nonlinear elliptic equations

Uses Software

• bvp4c

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A spectral method for the eigenvalue problem for elliptic equations
• Spherical harmonics and approximations on the unit sphere. An introduction
• A spectral method for elliptic equations: The Dirichlet problem
• Optimal reconstruction of a function from its projections
• A spectral method for elliptic equations: The Neumann problem
• Creating domain mappings
• Solving the nonlinear Poisson equation on the unit disk
• Spectral Methods
• Abstract Parabolic Evolution Equations and their Applications
• Spectral Methods and Their Applications
• Solving ODEs with MATLAB
• Spectral Methods
• Galerkin Methods for Parabolic Equations