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 ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

SIAM Journal on Numerical Analysis, Vol. 34, No. 5 (Oct., 1997), pp. 1742-1760 (19 pages) We analyze three finite difference approximations of the nonlinear Klein-Gordon equation and show that they ...