𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The fundamental solution of a one-parameter family of difference approximations of the laplace operator in the plane

✍ Scribed by V.B. Andreev; S.A. Kryakvina


Publisher
Elsevier Science
Year
1973
Weight
699 KB
Volume
13
Category
Article
ISSN
0041-5553

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Approximation by Linear Combinations of
✍ Uwe Hamann πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 483 KB

Let L be the LAME operator defined by Lu = n u + p grad div u ( p > 0, u = = (ul, u,, u ~) ~) . We denote the fundamental solution of L by E = (Eij)i<j= 1,2,3. By Ei = (Eli, E,,, E3i)T(i = 1, 2, 3) we denote the column vectors of E. Let r be the Cm-smooth boundary of a bounded domain 52 c R3 with c

An economic method for the approximate s
✍ C.E. Romanova πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science βš– 524 KB

An approximate method of solving Laplace's difference equation in a rectangle with uniform accuracy O(hr) is proposed. Five-point and nine-point Laplace difference operators, boundary conditions of the first and second kinds, and the problem of the contact between two media are considered. The meth

On a family of differential operators wi
✍ G. Rozenblum; M. Solomyak πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 223 KB

We study a family of differential operators L in two variables, depending on the coupling parameter 0 that appears only in the boundary conditions. Our main concern is the spectral properties of L , which turn out to be quite different for < 1 and for > 1. In particular, L has a unique self-adjoint