𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a “best” 9-point difference equation analogue of Laplace equation

✍ Scribed by Donald Greenspan

Publisher
Elsevier Science
Year
1957
Tongue
English
Weight
324 KB
Volume
263
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Note on difference equation approximatio
Note on difference equation approximations of laplace's equation
✍ Donald Greenspan 📂 Article 📅 1959 🏛 Elsevier Science 🌐 English ⚖ 246 KB

In the numerical solution of Dirichlet problems, one popular technique involves replacement of Laplace's equation by a difference equation approximation. This note completes a short series of papers on best difference equation approximations.

On non negative difference analogues of
On non negative difference analogues of elliptic differential equations
✍ Donald Greenspan; P.C. Jain 📂 Article 📅 1965 🏛 Elsevier Science 🌐 English ⚖ 246 KB

Let L be the elliptic differential operator defined on region R by L[u(x, y)] --ux~ + 2b(x, y)u~u + c(x, y)uuu, b ~ O, where b(x, y) and c(x, y) are continuous and bounded on R. At any point (x, y) E R, the ellipticity condition alone implies the existence of a nine point difference operator analogu