SIAM Journal on Numerical Analysis, Vol. 37, No. 1 (Nov. - Dec., 1999), pp. 105-130 (26 pages) The simplest finite difference approximations for spatial derivatives are centered, explicit, and applied ...
Finite-difference approximations for the first derivative, valid halfway between equidistant gridpoints, are in general much more accurate than the corresponding approximations, which are valid at ...
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