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A novel approach to a discrete Hessian recovery is suggested. Local convergence of the discrete Hessian towards the differential Hessian is established, for a class of adaptive meshes.
In this paper we compare the accuracy and efficiency of a finite volume scheme solving the ideal MHD equations in one and two space dimensions for interface fluxes obtained by six different MHD Riemann solvers. We suggest a new solver of HLLEM-type (MHD–HLLEM) and show that it is the cheapest...
In this paper, we consider solutions of Fredholm integral equations of the second kind where the kernel functions are asymptotically smooth or products of such functions with highly oscillatory coefficient functions. We present a scheme based on polynomial interpolation to approximate matrices A...
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