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Iterative block methods for the hybrid computer solution of the method of lines

✍ Scribed by Werner Neundorf

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
364 KB
Volume
23
Category
Article
ISSN
0378-4754

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✦ Synopsis

In this paper we investigate in addition to W. Neundorf and Re. Schonefeld, Stable iterative hybrid method for the solution of weak nonlinear parabolic differential equations.

Math. Comput. Simulation XXII(l) (1980) 1-6, the properties of iterative hybrid methods using analog macroblocks with m > 2 integration lines by overlapping of the blocks pushed over all (A' -1) space lines one after each other.

We obtain the following results:

(1) The convergence factor of the iteration process depends on m and is

KNrn =

(2) The method is weak consistent and the sample period Atk by the single block can increase to the value Atk .

min(2, fi) by the macroblock with m lines without detriment of accuracy (local discretization error).

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