Titlebook: Partial Differential Equations; Modelling and Numeri Roland Glowinski,Pekka Neittaanm?ki Book 2008 Springer Science+Business Media B.V. 200

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A Numerical Method for Fluid Flows with Complex Free Surfacesc fluid. The compressible effects of the surrounding gas are taken into account, as well as surface tension forces. An Eulerian approach based on the volume-of-fluid formulation is chosen. A time splitting algorithm, together with a two-grids method, allows the various physical phenomena to be decou

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Computing the Eigenvalues of the Laplace-Beltrami Operator on the Surface of a Torus: A Numerical Approach of a torus. Beginning with a variational formulation, we derive an equivalent PDE formulation and then discretize the PDE using finite differences to obtain an algebraic generalized eigenvalue problem. This finite dimensional eigenvalue problem is solved numerically using the eigs function in Matla

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Reduced-Order Modelling of Dispersionion in dimension of the solution space at each level. Similitude solutions are used in a non-symmetric metric for the transport over long distances. Model parameters identification is based on data assimilation. The approach does not require the solution of any PDE and, therefore, is mesh free. The