High-order ADI schemes for convection-diffusion equations with mixed derivative terms

Düring, Bertram, Fournié, Michel and Rigal, Alain (2013) High-order ADI schemes for convection-diffusion equations with mixed derivative terms. In: Azaïez, Mejdi, Hesthaven, Jan S. and El Fekih, Henda (eds.) Spectral and high order methods for partial differential equations - ICOSAHOM ' 12. Lecture notes in computational science and engineering (95). Springer-Verlag, Berlin, pp. 217-226. ISBN 9783319016009

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Abstract

We consider new high-order Alternating Direction Implicit (ADI) schemes for the numerical solution of initial-boundary value problems for convection-diffusion equations with cross derivative terms. Our approach is based on the unconditionally stable ADI scheme proposed by Hundsdorfer. Different numerical discretizations which lead to schemes which are fourth-order accurate in space and second-order accurate in time are discussed.

Item Type: Book Section
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics
Depositing User: Bertram During
Date Deposited: 25 Nov 2013 09:56
Last Modified: 25 Nov 2013 09:56
URI: http://sro.sussex.ac.uk/id/eprint/47137

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