Method of lines and direct discretization: A comparison for linear advection

DOI10.1016/0168-9274(94)90009-4zbMath0797.65067OpenAlexW2123158640MaRDI QIDQ1319613

R. A. Trompert, Willem H. Hundsdorfer

Publication date: 9 October 1994

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/1464

zbMATH Keywords

numerical testserror analysismethod of linescomputational efficiencylinear advectiongrid refinementdimension splittingfour-point upwind biased stencil

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for second-order hyperbolic equations (35L15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Complexity and performance of numerical algorithms (65Y20)

Related Items (7)

A review on TVD schemes and a refined flux-limiter for steady-state calculations ⋮ Time integration of three-dimensional numerical transport models ⋮ A note on splitting errors for advection-reaction equations ⋮ A parallel Jacobian-free Newton-Krylov solver for a coupled sea ice-ocean model ⋮ A high-order conservative Patankar-type discretisation for stiff systems of production--destruction equations ⋮ Numerical modelling of advection-dispersion equation in a stretched curvilinear grid using the QUICKEST scheme ⋮ A group of CFL-dependent flux-limiters to control the numerical dissipation in multi-stage unsteady calculation

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