Finite Difference Preconditioning for Solving Orthogonal Collocation Equations for Boundary Value Problems

DOI10.1137/S0036142993249760zbMath0863.65072MaRDI QIDQ5284622

Sun, Weiwei, Weizhang Huang, Robert D. Russell

Publication date: 8 June 1997

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

numerical examplescondition numberfinite difference preconditioningorthogonal collocation equations

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) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite difference methods for boundary value problems involving PDEs (65N06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (5)

Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation ⋮ A collocation method with exact imposition of mixed boundary conditions ⋮ Spatially dispersionless, unconditionally stable FC-AD solvers for variable-coefficient PDEs ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ Orthogonal spline collocation scheme for the multi-term time-fractional diffusion equation

Uses Software

• ELLPACK

This page was built for publication: Finite Difference Preconditioning for Solving Orthogonal Collocation Equations for Boundary Value Problems