Analysis of an upstream weighted collocation approximation to the transport equation

DOI10.1016/0021-9991(81)90136-4zbMath0474.65083OpenAlexW1994144181MaRDI QIDQ1158939

Allen Shapiro, George F. Pinder

Publication date: 1981

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90136-4

zbMATH Keywords

transport equationsorthogonal collocation methodFourier series analysisupstream weighted collocation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (8)

The characteristic-Galerkin method for advection-dominated problems - An assessment ⋮ Stabilized isogeometric collocation methods for scalar transport and incompressible fluid flow ⋮ Analytical upstream collocation solution of a quadratically forced steady‐state convection‐diffusion equation ⋮ Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations ⋮ Higher order B-spline collocation at the Greville abscissae ⋮ The minimum nonaliased wavelength in an orthogonal multi-dimensional grid ⋮ A B-spline collocation method for solving the incompressible Navier-Stokes equations using an ad hoc method: the boundary residual method ⋮ Continuous source in tidal flow: A numerical study of the transport equation

Cites Work

• Solution of steady-state, convective transport equation using an upwind finite element scheme
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