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A general and comprehensive toolkit for generating finite difference formulas, working with Taylor series expansions, and teaching/learning finite difference formulas in Python ...
Common solution techniques include: Finite-Difference Methods (FDMs): Replace derivatives with numerical approximations. For example, a second-order central difference for ∂ 2 u ∂ x 2 is: ∂ 2 u ∂ x 2 ...
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 ...
This paper explores acceleration of the finite element-boundary integral hybrid method using the adaptive cross approximation. Our code implementing the hybrid method in Python based on open source ...
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 ...
D. B. Duncan, Symplectic Finite Difference Approximations of the Nonlinear Klein-Gordon Equation, SIAM Journal on Numerical Analysis, Vol. 34, No. 5 (Oct., 1997), pp ...
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