Optimized Finite Difference Formulas for Accurate High Frequency Components
Joint Authors
Kindelan, Manuel
Moscoso, Miguel
Gonzalez-Rodriguez, Pedro
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-13
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Kindelan, Manuel& Moscoso, Miguel& Gonzalez-Rodriguez, Pedro. 2016. Optimized Finite Difference Formulas for Accurate High Frequency Components. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1112616
Modern Language Association (MLA)
Kindelan, Manuel…[et al.]. Optimized Finite Difference Formulas for Accurate High Frequency Components. Mathematical Problems in Engineering No. 2016 (2016), pp.1-15.
https://search.emarefa.net/detail/BIM-1112616
American Medical Association (AMA)
Kindelan, Manuel& Moscoso, Miguel& Gonzalez-Rodriguez, Pedro. Optimized Finite Difference Formulas for Accurate High Frequency Components. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1112616
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112616