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Article information
1996 , Volume 1, ¹ 2, p.99-103
Formalev V.F.
Method of variable directions with time extrapolation for parabolic problems with mixed variables
A resource-sparing (economic), absolutely stable method is suggested with alternating (variable) directions of numerical problems with mixed differential operators which is reduced to scalar sweeps along coordinate directions. This technique differs from the classical Pisman-Rachford method in the inexplicit approximation of all the differential operators whereas some values of the grid functions are substituted for those extrapolational with respect to time which makes the method absolutely stable and applicable to the problems with any space dimensionality.
[full text] Classificator Msc2000:- *35K99 None of the above, but in this section
- 65M12 Stability and convergence of numerical methods
Keywords: alternating direction method, absolute stability, parabolic problem
Author(s):
Formalev Vladimir Fedorovich
Dr. , Professor
Office: Moscow state aviation institute
Address: 125871, Russia, Moscow
Phone Office: (499) 496-39-71
E-mail: pirumov@k806.mainet.msk.su
Bibliography link:
Formalev V.F. Method of variable directions with time extrapolation for parabolic problems with mixed variables // Computational technologies. 1996. V. 1. ¹ 2. P. 99-103
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