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Original Articles

MONTE CARLO ALGORITHMS FOR ELLIPTIC DIFFERENTIAL EQUATIONS. DATA PARALLEL FUNCTIONAL APPROACHFootnote

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Pages 39-65 | Received 15 Feb 1995, Published online: 07 Mar 2007

References

  • A.V. Bitzade , Equations of the Mathematical Physics , “ Nauka ”, 1982 .
  • I. Dimov and O. Tonev , Performance analysis of Monte Carlo algorithms for some models of computer architectures, International Youth Workshop on Monte Carlo methods and parallel algorithms-Primorsko , Bl. Sendov and I. Dimov , eds., World Scientific , Singapore , 1990 , 91 – 95 .
  • I. Dimov and O. Tonev , Random walk on distant mesh points Monte Carlo methods , Journal of Statistical Physics 70 , 5/6 ( 1993 ), 1333 – 1342 .
  • I. Dimov and O. Tonev , Monte Carlo algorithms : Performance analysis for some computer architectures , Journal of Computational and Applied Mathematics 48 ( 1993 ), 253 – 277 .
  • S. M. Ermakov and G. A. Mikhailov , Statistical Modeling , Nauka , Moscow , 1981 .
  • J. M. Hammersley and D. C. Handscomb , Monte Carlo Methods , John Wiley and Sons, Inc. , New York, London, Sydney, Methuen , 1964 .
  • P. Hudak , S. Peyton Jones and P. Wadler (eds.) Report on the programming language Haskcll, a non-strict purely functional language , SIGPLAN Notices 27 , 5 ( 1992 ).
  • H. Kingdon , D. Lester and G. L. Burn The HDG-machine: A highly distributed graph-reducer for a transputer network , Computer Journal 34 , 4 ( 1991 ), 290 – 301 .
  • H. Kuchen , R. Plasmcijer and H. Stollze , Efficient Distributed Memory Implementation of a Data Parallel Functional Language , PARLE 94, LNCS 817 , Springer Verlag , 1994 , 464 – 477 .
  • H. Kuchen , Datanparallele Programmierung von MIMD-Rechncrn mil verteiltem Speicher, RWTH Aachen, 1994.
  • R. Loogen , H. Kuchen , K. Indermark and W. Damm , Distributed Implementation of Programmed Graph Reduction , PARLE &89, LNCS 365 ( 1989 ), 136 – 157 .
  • V P. Mikhailov , Partial differential equations , “ Nauka ”, Moscow , 1983 .
  • C. Miranda , Equasioni alle derivate parziali di tipo ellittico , Springer-Verlag , Berlin , 1955 .
  • Parsylec GmbH: PARIX Documentation , Aachen , 1992 .
  • Perihelion Software Ltd. : The Helios Parallel Operating System , Prentice Hall , 1991 .
  • M. J. Ouinn , Designing Efficient Algorithms for Parallel Computers , McGraw-Hill , 1987 .
  • J. Smetsers and E. Barendsen , Conventional and uniqueness typing in graph rewrite systems , 13th Conf on Foundations of Software Technology and TCS, LNCS , 1993 .
  • I. M. Sobol , Monte Carlo numerical methods , Nauka , Moscow , 1973 .
  • ∗Partial supported by RWTH Aachen, Lehrstuhl fur Informatik II and by Ministry of Science and Education of Bulgaria under Grants #I 210 and #MM 448

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