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By using some recent results for divergence form equations obtained in [7, 10], we study the Lp-solvability of second-order ellip-tic and parabolic equations in nondivergence form for any p 2 (1,1).Th...
An unstructured mesh finite volume discretisation method for simulating diffusion in anisotropic media in two-dimensional space is discussed. This technique is considered as an extension of the fully ...
In this paper, concerned with the Cauchy problem for 2D nonlinear hyperbolic conservation laws,we construct a class of uniformly second order accurate finite difference schemes, which are based on t...
This paper is devoted to study of an iterative procedure for domain decomposition method of second order elliptic problem with mixed boundary conditions (i.e., Dirichlet condition on a part of bound...
We extend the SCGS smoothing procedure (Symmetrical Collective Gauss--Seidel relaxation) proposed by S.~P.~Vanka$^{[4]}$, for multigrid solvers of the steady viscous incompressible Navier--Stokes e...

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