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A numerical study of the steady scalar convective diffusion equation for small viscosity

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Publication:1062566
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DOI10.1016/0021-9991(84)90110-4zbMath0572.76087OpenAlexW2131710750MaRDI QIDQ1062566

Milton E. Rose, Michael B. Giles

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-9991(84)90110-4

zbMATH Keywords

compact finite difference schemeanalytic inviscid solutionGauss-Seidel iterative solutiontime-independent convection-diffusion equationupwind differencing in inviscid regions


Mathematics Subject Classification ID

Diffusion and convection (76R99) Basic methods in fluid mechanics (76M99)


Related Items

Uniform in $\varepsilon $ discretization error estimates for convection dominated convection-diffusion problems, Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes



Cites Work

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  • Compact finite difference schemes for the Euler and Navier-Stokes equations
  • A finite difference scheme for a class of first-order elliptic partial differential equations
  • Perturbation methods in applied mathematics
  • Perturbed elliptic problems with essential nonlinearities
  • Compact Finite Difference Schemes for Mixed Initial-Boundary Value Problems
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