Sixth IMACS International Symposium on Iterative Methods in Scientific Computing; March 27-30, 2003, Denver, CO

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Knyazev0209311 The investigator and his colleagues organize a conference on iterative methods in scientific computing. Iterative methods for the solution of linear and nonlinear systems of equations play an increasingly important role in the numerical simulation of physical phenomena. Preconditioning is the key for significant improvement of the performance as it allows one to find a path between Scylla of expensive factorizations of direct methods and Charybdis of slow convergence. The recent surge of activity in computational biology creates new opportunities for iterative methods. As an example, the protein folding problem involves predicting the native state of a protein. This is accomplished by minimizing a complex energy function. Global optimization methods for solving this problem employ iterative methods, but computational limitations have restricted the application of such methods to small proteins (fewer than 100 amino acid residues). High performance computing is one avenue researchers are taking. The protein folding problem is only one of a great many applications that can use iterative methods to solve them. Some of the specific topics targeted at this meeting are: applications (with new emphasis on computational biology), domain decomposition, preconditioning, parallel methods, nonsymmetric solvers, nonlinear systems and eigenvalue solvers, multilevel methods, Krylov methods, interdisciplinary research, student papers, and open problems. The International Association for Mathematics and Computers in simulations (IMACS) International Symposiums on Iterative Methods in Scientific Computing are meetings that have been held regularly since 1988. The investigator and colleagues organize the sixth such meeting. The conference is dedicated to providing an overview of the state of the art in the use of iterative methods with an eye to contributions of the past, present and future. The emphasis is placed upon identifying future research directions in the mainstream of modern scientific computing. Of particular interest are talks on interdisciplinary research, open problems, and applications, particularly in computational biology. A special issue of the IMACS Journal Applied Numerical Mathematics is devoted to the meeting.