Document Type
Lecture
Publication Date
4-13-2006
Abstract
A method is presented for designing derivatives for finite difference approximations that achieve specified accuracy in the frequency domain. A general average value approximation with undetermined coefficients is fitted in the spatial frequency domain to attain the desired properties of the approximation. A set of constraints to ensure that the approximation converges as the grid spacing approaches zero and satisfies the Lax Equivalence Theorem are imposed on the fitted coefficients. A practical design of the approximations is pursued using an heuristic zero-placement method, which results in a linear matrix formulation.
Relational Format
presentation
Recommended Citation
Perkins, A. Louise; Welmon, Pippin; and Altheimer, Keelia, "Numerical Approximation Engineering" (2006). Analysis Seminar. 46.
https://egrove.olemiss.edu/math_analysis/46
