Numerical modeling of multi-phase flow in heterogeneous anisotropic porous media with locally conservative flux continuous schemes such as the multi-point flux methods, mixed finite volume methods, mixed finite element methods. Numerical solutions to conservation laws using high order methods such as spectral element methods, finite element discontinuous Galerkin methods, ENO/WENO Methods, and spectral volume methods. Uncertainty modeling and analysis for solutions of partial differential

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... ons with random inputs via probabilistic methods, e.g., polynomial chaos methods and Monte Carlo methods.