RT Journal Article
T1 Optimized Finite Difference Formulas for Accurate High Frequency Components
A1 Kindelan Segura, Manuel
A1 Moscoso, Miguel
A1 González Rodríguez, Pedro
AB We present a method to obtain optimal finite difference formulas which maximize their frequency range of validity. The optimization is based on the idea of keeping an error of interest (dispersion, phase, or group velocities errors) below a given threshold for a wavenumber interval as large as possible. To find the weights of these optimal finite difference formulas we solve a system of nonlinear equations. Furthermore, we give compact formulas for the optimal weights as function of the error bound. Several numerical experiments illustrate the performance of the obtained finite difference formulas compared to the standard ones.
PB Hindawi
SN 1024-123X
YR 2016
FD 2016-12-14
LK https://hdl.handle.net/10016/32244
UL https://hdl.handle.net/10016/32244
LA eng
DS e-Archivo
RD 26 jun. 2024