Applied Mathematics and Scientific Computing by Marcus Sarkis (auth.), Zlatko Drmač, Vjeran Hari, Luka

By Marcus Sarkis (auth.), Zlatko Drmač, Vjeran Hari, Luka Sopta, Zvonimir Tutek, Krešimir Veselić (eds.)

Proceedings of the second one convention on utilized arithmetic and clinical Computing, held June 4-9, 2001 in Dubrovnik, Croatia.

The major concept of the convention was once to collect utilized mathematicians either from outdoors academia, in addition to specialists from different components (engineering, technologies) whose paintings contains complex mathematical techniques.

During the assembly there have been one whole mini-course, invited displays, contributed talks and software program shows. A mini-course Schwarz equipment for Partial Differential Equations used to be given via Prof Marcus Sarkis (Worcester Polytechnic Institute, USA), and invited displays got via lively researchers from the fields of numerical linear algebra, computational fluid dynamics , matrix conception and mathematical physics (fluid mechanics and elasticity).

This quantity comprises the mini-course and evaluate papers by way of invited audio system (Part I), in addition to chosen contributed shows from the sector of research, numerical arithmetic, and engineering functions.

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1988). On the Schwarz alternating method I.. First International Symposium on Domain Decomposition Methods for Partial Differential Equations, R. Glowinski, G. Golub, G. Meurant. and 1. , SIAM, Philadelphia, PA. [35] Mandel J. (1993). Balancing domain decomposition. Comm. Numer. Meth. , Vol. 9, pp. 233-241. [36] Mandel J. (1994). sition with unstructured subdomains. Contemporary Mathematics. Vol. 157, pp. 103-112. [37] Matsokin A. , and NepolIUlyaschikh S. V. (1985). A Schwarz alternating method in a subspace.

1985). A Schwarz alternating method in a subspace. Soviet Mathematics, Vol. 29( 10), pp. 78-84. [38] Oswald P. (1999) On the robustness of the BPX-preconditioner with respect to jumps in the coefficients. Math. , Vol. 68, pp. 633-650. , and Sarkis M. (2000). An explicit multi-madel compressible flow formulation based on the full potential equation and the Euler Equations on 3D unstructured meshes. Contemporary Mathematics. , and Valli A. (1999). Domain decomposition methods for partial differential equations.

And Widlund O. (1996). Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions. Numer. , Vol 72, pp. 313-348. , and Widlund O. (1994). Schwarz analysis Of iterative substructuring algorithms for elliptic problems in three dimensions. SIAM J. Numer. , Vol. 3] (6), 1662-1694. , and Widlund O. (1987). An additive variant ofthe Schwarz alternating method for the case of many subregions. Department of Computer Science, Courant Institute, TR:339, also Ultracomputer Note 131.

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