Fast algorithms for spectral collocation with non-periodic boundary conditions

JOURNAL OF COMPUTATIONAL PHYSICS

卷:207

Article

Lyons, W ; Ceniceros, HD ; Chandrasekaran, S ; Gu, M

关键词: pseudospectral methods;    Chebyshev collocation;    fast algorithms;    fast direct solver;    semi-separable;    boundary conditions;   

DOI  :  10.1016/j.jcp.2005.01.007

来源: Elsevier

【 摘 要 】

We present a method for the numerical solution of partial differential equations using spectral collocation. By employing a structured representation of linear operators we are able to use fast algorithms without being restricted to periodic boundary conditions. The underlying ideas are introduced and developed in the context of linearly implicit methods for stiff equations. We show how different boundary conditions may be applied and illustrate the technique on the Allen-Cahn equation and the diffusion equation. © 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free