Parallel algorithm for spatially one- and two-dimensional initial-boundary-value problem for a parabolic equation

Kybernetika

Volumn 37, Issue 2, 2001, Pages 171-181

  Purcz, Pavol ^a  

^a TECHNICAL UNIVERSITY OF KO ICE   (Slovakia)

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EID: 0035624764     PISSN: 00235954     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

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4. P. M. Kogge: Parallel solution of recurrence problems. IBM J. Res. Develop. 2 (1974), 18, 138-148.
5. J. M. Ortega and R. G. Voigt: Solution of PDE on Vector and Parallel Computers. SIAM, Philadelphia, 1985.
6. M. Pavluš: Schwarz algorithm for solution of a quasiparabolic equation. Vestnik Moskov. Univ. 4 (1992), 15, 27-35.
7. D. W. Peaceman and H. H. Rachford: The numerical solution of parabolic and elliptic differential equations. J. Soc. Indust. Appl. Math. 3 (1955), 28-41.
8. G. D. Smith: Numerical Solution of PDE. Finite Difference Methods. Second edition. Clarendon Press, Oxford 1978.
9. E. E. Tyrtyshnikov: Parallelization of some numerical methods. In: Numerical Solution of Partial Differential Equation, Košice 1992.
10. M. Vajteršic: Algorithms for Elliptic Problems. Efficient Sequential and Parallel Solvers. VEDA, Bratislava 1988.