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An algebraic multigrid method is presented to solve large systems of linear equations. The coarsen- ing is obtained by… Expand Research on multigrid methods for optimization problems is reviewed. Optimization problems considered include shape design… Expand An iterative solution method, in the form of a preconditioner for a Krylov subspace method, is presented for the Helmholtz… Expand Preface 1. Background in linear algebra 2. Discretization of partial differential equations 3. Sparse matrices 4. Basic iterative… Expand Driven by the need to solve linear systems arising from problems posed on extremely large, unstructured grids, there has been a… Expand Preface 1. Model problems 2. Basic iterative methods 3. Elements of multigrid 4. Implementation 5. Some theory 6. Nonlinear… Expand The assumption of potential o w implies that the o w is irrotational. This is not strictly correct when shock waves are present… Expand The vorticity-stream function formulation of the two-dimensional incompressible NavierStokes equations is used to study the… Expand