𝔖 Bobbio Scriptorium
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Playing with nonuniform grids

✍ Scribed by A. E. P. Veldman; K. Rinzema

Book ID
104620486
Publisher
Springer
Year
1992
Tongue
English
Weight
681 KB
Volume
26
Category
Article
ISSN
0022-0833

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✦ Synopsis

Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error. The diagonal entries in the discrete coefficient matrix give a better clue: the convective term should not reduce the diagonal. Also, iterative solution of the discrete set of equations is discussed. The same criterion appears to be favourable.

πŸ“œ SIMILAR VOLUMES

Monotonicity on nonuniform grids
Monotonicity on nonuniform grids
✍ P. de Oliveira; F. Patricio πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 634 KB

In this paper we study a class of numerical methods used to solve two-point boundary value problems on nonuniform grids. Particular attention is devoted to positive solutions, i.e. conditions under which the solutions of the problem are positive. Applications to steady states of air pollution proble