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Communication Dans Un Congrès Année : 2012

High-Order ADI Schemes for Convection-Diffusion Equations with Mixed Derivative Terms

Résumé

We present 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 (Appl Numer Math 42:213-233, 2002). 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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Dates et versions

hal-01978075 , version 1 (22-01-2019)

Identifiants

Citer

B Düring, Michel Fournié, Alix Rigal. High-Order ADI Schemes for Convection-Diffusion Equations with Mixed Derivative Terms. Spectral and High Order Methods for Partial Differential (ICOSAHOM 2012), Jun 2012, Gammarth, Tunisia. pp.217-226, ⟨10.1007/978-3-319-01601-6_17⟩. ⟨hal-01978075⟩
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