Compact Finite Difference Schemes for Mixed Initial-Boundary Value Problems

DOI10.1137/0719049zbMath0481.65056OpenAlexW2054319551MaRDI QIDQ3939154

Richard B. Philips, Milton E. Rose

Publication date: 1982

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0719049

zbMATH Keywords

truncation errorsLax-Wendroff methodcompact second order accurate finite difference equationsconvective- diffusion equationsupwind-downwind differencing techniques

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Initial-boundary value problems for first-order hyperbolic systems (35L50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (7)

The numerical solution of the Navier-Stokes equations for 3-dimensional, unsteady, incompressible flows by compact schemes ⋮ Modified oci scheme for two-point boundary-value problems ⋮ A numerical study of the two-dimensional Navier-Stokes equations in vorticity-velocity variables ⋮ A composite integration scheme for the numerical solution of systems of parabolic PDEs in one space dimension ⋮ Progress in computational physics ⋮ Compact finite difference schemes for the Euler and Navier-Stokes equations ⋮ A numerical study of the steady scalar convective diffusion equation for small viscosity

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