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
This is the latest version of this item.
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://srodev.sussex.ac.uk/id/eprint/47137 |
Available Versions of this Item
-
High-order ADI schemes for convection-diffusion equations with mixed derivative terms. (deposited 21 Aug 2013 14:07)
- High-order ADI schemes for convection-diffusion equations with mixed derivative terms. (deposited 25 Nov 2013 09:56) [Currently Displayed]