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Rebolia, L.

Una discretizzazione stabile per una equazione parabolica autoaggiunta con condizioni al contorno implicanti sia la funzione che la derivata spaziale. (Italian) Zbl 0206.39503

Calcolo 6, 239-248 (1969).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65N99 Numerical methods for partial differential equations, boundary value problems
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References:

[1] G. M. Campbell andP. Keast,The stability of difference approximations to a self-adjoint parabolic equation, under derivative boundary conditions, in Mathematics of Computation,22, n0 102 (1968), 336–346. · Zbl 0205.17505
[2] M. E. Rose,On the integration of non-linear parabolic equation by implicit difference methods, Quart. j. Appl. Math.14 (1956), 237–248. · Zbl 0072.14702
[3] I. V. Fryazinov,On a difference approximation of the boundary conditions for the third boundary-value problem, Ž. Vyčisl. Mat. i. Mat. Fiz.,4 (1964) 1106–1112.
[4] L. Rebolia,Riduzione del raggio spettrale per la stabilizzazione numerica nella soluzione di sistemi differenziali ordinari, Rend. Sem. Mat. Un. di Padova,XL (1968), 312–323. · Zbl 0174.47403
[5] R. S. Varga,Matrix Iteratie Analysis, Prentice-Hall, Englewood Cliffs, N. J., 1962.
[6] R. D. Richtmyer,Difference methods for intitial-value problems, Interscience publishers, Inc., N. Y., 1962.
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