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arXiv · 1505.07621

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

Bertram Düring·Michel Fournié·Alain Rigal
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Abstract

We present new high-order Alternating Direction Implicit (ADI) schemes for the numerical solution of initial-boundary value problems for convection-diffusion equations with mixed 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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Bertram Düring, Michel Fournié, Alain Rigal. 2015-05-28. High-order ADI schemes for convection-diffusion equations with mixed derivative terms. https://doi.org/10.1007/978-3-319-01601-6_17

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