High-order unconditionally-stable FC-AD PDE solvers for general domains

@inproceedings{Alyssa2008HighorderUF,
title={High-order unconditionally-stable FC-AD PDE solvers for general domains},
author={Alyssa},
year={2008}
}

Alyssa

Published 2008

A new methodology is introduced for the numerical solution of Partial Differential Equations in general spatial domains. The methodology is based on the use of the well-known Alternating Direction Implicit (ADI) approach of Peaceman and Rachford in conjunction with one-dimensional and high-order accurate Fourier representations of non-periodic data, obtained by way of a certain “continuation method” introduced recently for the resolution of the Gibbs phenomenon. We construct a number of high… CONTINUE READING