Philippe Quandalle

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Discrete transforms are introduced and are defined in a ring of polynomials. These polynomial transforms are shown to have the convolution property and can be computed in ordinary arithmetic, without multiplications. Polynomial transforms are particularly well suited for computing discrete two-dimensional convolutions with a minimum number of operations.(More)
In stratigraphic modeling and multiphase flow in porous media, the linear systems obtained after finite volume discretization in space, fully implicit time integration and Newton type linearization couple basically an elliptic/parabolic variable (say the pressure) with hyperbolic variables (say the compositions or saturations). For such systems, block(More)
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