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Wendland functions a C++ code to compute them

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Version 2 2023-06-12, 08:41
Version 1 2023-06-09, 06:19
conference contribution
posted on 2023-06-12, 08:41 authored by Carlos Argaez, Sigurdur Hafstein, Peter GieslPeter Giesl
In 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, Spain

Publisher

SCITEPRESS

Page range

323-330

Event name

SIMULTECH 2017

Event location

Madrid, Spain

Event type

conference

Event date

26/07/17 - 28/07/17

Place of publication

Madrid, Spain

ISBN

9789897582653

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Analysis and Partial Differential Equations Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2017-05-24

First Open Access (FOA) Date

2017-09-01

First Compliant Deposit (FCD) Date

2017-05-24

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