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High-order ADI schemes for convection-diffusion equations with mixed derivative terms
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posted on 2023-06-08, 16:24 authored by Bertram Duering, Michel Fournié, Alain RigalWe 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.
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Publication status
- Published
Publisher
Springer-VerlagExternal DOI
Issue
95Page range
217-226Pages
425.0Book title
Spectral and high order methods for partial differential equations - ICOSAHOM ' 12Place of publication
BerlinISBN
9783319016009Series
Lecture notes in computational science and engineeringDepartment affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Editors
Henda El Fekih, Mejdi Azaïez, Jan S. HesthavenLegacy Posted Date
2013-11-25Usage metrics
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