SIMULTECH_2017_50.pdf (1.23 MB)
Wendland functions a C++ code to compute them
conference contribution
posted on 2023-06-12, 08:41 authored by Carlos Argaez, Sigurdur Hafstein, Peter GieslPeter GieslIn this paper we present a code in C++ to compute Wendland functions for arbitrary smoothness parameters. Wendland functions are compactly supported Radial Basis Functions that are used for interpolation of data or solving Partial Differential Equations with mesh-free collocation. For the computations of Lyapunov functions using Wendland functions their derivatives are also needed so we include this in the code. Wendland functions with a few fixed smoothness parameters are included in some C++ libraries, but for the general case the only code freely available was implemented in MAPLE taking advantage of the computer algebra system. The aim of this contribution is to allow scientists to use Wendland functions in their C++ code without having to implement them themselves. The computed Wendland functions are polynomials and their coefficients are computed and stored in a vector, which allows for efficient computation of their values using the Horner scheme.
Funding
Lyapunov Methods and Stochastic Stability; ICELANDIC RESEARCH FUND; 152429-051
History
Publication status
- Published
File Version
- Published version
Journal
Proceedings of the 7th International Conference on Simulation and Modeling Methodologies, Technologies and Applications, 2017, Madrid, SpainPublisher
SCITEPRESSExternal DOI
Page range
323-330Event name
SIMULTECH 2017Event location
Madrid, SpainEvent type
conferenceEvent date
26/07/17 - 28/07/17Place of publication
Madrid, SpainISBN
9789897582653Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Analysis and Partial Differential Equations Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes