A conservative semi-Lagrangian algorithm for one-dimensional advection-diffusion

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1099-0887(199807)14:7<671::AID-CNM181>3.0.CO;2-X" /><671::AID-CNM181>3.0.CO;2-X 10.1002/(SICI)1099-0887(199807)14:7<671::AID-CNM181>3.0.CO;2-XzbMath0910.65061OpenAlexW2031097994MaRDI QIDQ4213721

Steve G. Wallis, J. Russell Manson, L. Filippi

Publication date: 19 April 1999

Full work available at URL: https://doi.org/10.1002/(sici)1099-0887(199807)14:7<671::aid-cnm181>3.0.co;2-x

zbMATH Keywords

stabilitynumerical experimentsadvection-diffusioncomputational efficiencyDISCUS algorithmQUICKEST algorithmsemi-Lagrangean algorithm

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15) Complexity and performance of numerical algorithms (65Y20)

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Cites Work

• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• A flux‐based modified method of characteristics
• ACCURATE NUMERICAL SIMULATION OF ADVECTION USING LARGE TIME STEPS
• The nirvana scheme applied to one‐dimensional advection
• An accurate numerical algorithm for advective transport

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