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 ...

This is a preview. Log in through your library . Abstract We analyze the use of a five-point difference formula for the discretization of the third derivative operator on nonuniform grids. The formula ...