Fast direct solvers for the heat equation in simple geometries

DOI10.1016/0377-0427(92)90131-GzbMath0749.65060MaRDI QIDQ1186911

James F. Epperson

Publication date: 28 June 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmstabilityheat equationGreen's functionsreduction of dimensionADI methodsfast direct solverstwo-layer difference schemeoperation countstorage estimates

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (1)

Operator splitting kernel based numerical method for a generalized Leland's model

Uses Software

• ITPACK

Cites Work

• Unnamed Item
• On the use of Green's functions for approximating nonlinear parabolic PDE's
• A kernel-based method for parabolic equations with nonlinear convection terms
• A fourth-order-accurate Fourier method for the Helmholtz equation in three dimensions
• Semigroup linearization for nonlinear parabolic equations
• Algorithm 586: ITPACK 2C: A FORTRAN Package for Solving Large Sparse Linear Systems by Adaptive Accelerated Iterative Methods
• Some Estimates for Radial Fourier Multiplier Operators with Slowly Decaying Kernels

This page was built for publication: Fast direct solvers for the heat equation in simple geometries