Titlebook: Vector and Parallel Processing - VECPAR‘98; Third International Vicente Hernández,José M. L. M. Palma,Jack J. Dong Conference proceedings

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Parallel Jacobi-Davidson for Solving Generalized Eigenvalue Problems-Davidson (using standard Ritz values) with a shift and invert technique. We apply a complete LU decomposition in which reordering strategies based on a combination of block cyclic reduction and domain decomposition result in a well-parallelisable algorithm. Moreover, we describe a variant of Jacobi

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Parallel Preconditioned Solvers for Large Sparse Hermitian Eigenproblems-Davidson (JD) method by G.L.G. Sleijpen and H.A. van der Vorst. For preconditioning, an adaptive approach is applied using the QMR (Quasi-Minimal Residual) iteration. Special QMR versions have been developed for the real symmetric and the complex Hermitian case. To parallelise the solvers, matrix a

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Parallel Preconditioners for Solving Nonsymmetric Linear SystemsBlock-ILU(fill,.,overlap), because it permits the control of both, the block fill and the block overlap. The second one, is based on the SPAI (SParse Approximate Inverse) method. Both methods are analysed and compared to the ILU preconditioner using the Bi-CGSTAB to solve general sparse, nonsymmetri

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Synchronous and Asynchronous Parallel Algorithms with Overlap for Almost Linear Systemsextension to an asynchronous model are considered. Convergence properties of these methods are studied for .-matrices and .-matrices. We implemented these algorithms on two distributed memory multiprocessors, where we studied their performance in relation to overlapping of the splittings at each ite

CAMP

The Parallel Problems Server: A Client-Server Model for Interactive Large Scale Scientific Computatiing this problem that uses a robust client-server model for interactive large-scale linear algebra computation..We discuss competing approaches and demonstrate the relative strengths of our approach. By way of example, we describe MITMatlab, a powerful transparent client interface to the linear alge

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Introduction to “Computational Fluid Dynamics, Structural Analysis and Mesh Partioning Techniques”uctural dynamics have greatly stimulated the recent evolution of numerical algorithms suitable for parallel computing architectures. The development of efficient parallel numerical simulation algorithms is particularly difficult since computer software and hardware are also evolving at a relatively

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Parallel Domain-Decomposition Preconditioning for Computational Fluid Dynamics) are considered. Specific distinction is given to techniques well-suited for time-dependent and steady-state computations of fluid flow. For time-dependent flow calculations, the overlapping Schwarz algorithm suggested by Wu et al. [28] together with stabilised (upwind) spatial discretisation shows