Comparison of numerical schemes for solving the advection equation

DOI10.1016/S0893-9659(03)80024-1zbMath1047.65064OpenAlexW2074362723MaRDI QIDQ1433628

S. Rajasekar

Publication date: 1 July 2004

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

Full work available at URL: https://doi.org/10.1016/s0893-9659(03)80024-1

zbMATH Keywords

numerical examplesfinite-difference schemesadvection equationconsistency errorspurious oscillationsAiry-like functioncomposition of methods

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (10)

A note on the numerical dissipation from high-order discontinuous finite element schemes ⋮ My way: a computational autobiography ⋮ Unnamed Item ⋮ Closed form solution and equivalent equation approximation of linear advection by a non dissipative second order scheme for step initial conditions ⋮ On the effect of temporal error in high-order simulations of unsteady flows ⋮ Analytical solutions to detect the scheme dispersion for the coupled nonlinear equations ⋮ Designing CFD methods for bandwidth -- a physical approach ⋮ A linear dispersive mechanism for numerical error growth: Spurious caustics ⋮ On the Approximation of Koopman Spectra of Measure-Preserving Flows ⋮ Doubly Monotonic Constraint on Interpolators: Bridging Second-Order to Singularity Preservation to Cancel “Numerical Wetting” in Transport Schemes

Cites Work

• A Dispersion Analysis for Difference Schemes: Tables of Generalized Airy Functions
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