We introduce finite-difference schemes based on a special upwind-type collocation grid, in order to obtain approximations of the solution of linear transport-dominated advection-diffusion problems. The method is well suited when the diffusion parameter is very small compared to the discretization parameter. A theory is developed and many numerical experiments are shown.

Finite-difference schemes for transport-dominated equations using special collocation nodes

FATONE, Lorella;
2005-01-01

Abstract

We introduce finite-difference schemes based on a special upwind-type collocation grid, in order to obtain approximations of the solution of linear transport-dominated advection-diffusion problems. The method is well suited when the diffusion parameter is very small compared to the discretization parameter. A theory is developed and many numerical experiments are shown.
2005
262
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/104713
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