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Hopscotch methods for elliptic partial differential equations

โœ Scribed by A.R. Gourlay; S. McKee

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
571 KB
Volume
5
Category
Article
ISSN
0377-0427

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๐Ÿ“œ SIMILAR VOLUMES

Hopscotch procedures for a fourth-order
Hopscotch procedures for a fourth-order parabolic partial differential equation differential equation
โœ A. Danaee; D.J. Evans ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 275 KB

In a recent paper (Mckee, 19751 the Hopscotch method was applied to solve the fourth-order parabolic (beam) equation. Several computational schemes were discussed which prove to be conditionally stable with the stability range no better than that of the usual explicit scheme. By using two different

High order methods for elliptic partial
High order methods for elliptic partial differential equations with singularities
โœ Elias N. Houstis; John R. Rice ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 747 KB

## Abstract This paper reports on an experimental study of the effectiveness of high order numerical methods applied to linear elliptic partial differential equations whose solutions have singularities or similar difficulties (e.g. boundary layers, sharp peaks). Three specific hypotheses are establ