High-order finite difference methods for partial differential equations

General n-point formulae for difference operators and their errors are derived in terms of elementary symmetric functions. These are used to derive high-order, compact and parallelisable finite difference schemes for the decay-advection-diffusion and linear damped Korteweg-de Vnes equations. Stabili...

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Bibliographic Details
Main Author: Matthew K. Bowen
Format: Default Thesis
Published: 2005
Subjects:
Online Access:https://hdl.handle.net/2134/13492
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