Abstract: An Eulerian finite-difference method solving the Vlasov equation is developed with a static, non-uniform momentum grid. The computational cost of this transformation differs negligibly from ...
SIAM Journal on Numerical Analysis, Vol. 51, No. 4 (2013), pp. 2470-2490 (21 pages) The primary aim of this paper is to answer the question, What are the highest-order five-or nine-point compact ...
It was shown two decades ago that the P k -P k-1 mixed element on triangular grids, approximating the velocity by the continuous P k piecewise polynomials and the pressure by the discontinuous P k-1 ...
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