.png){kind=icon}
.png){kind=icon}
Return
COMPUTING WITH FUNCTIONS IN THE BALL
.png){kind=icon}
OA
AI
DOI：10.1137/19M1297063.png)
.png){kind=icon}
.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
A collection of algorithms in object-oriented MATLAB is described for numerically computing with smooth functions defined on the unit ball in the Chebfun software. Functions are numerically and adaptively resolved to essentially machine precision by using a three-dimensional analogue of the double Fourier sphere method to form Ballfun objects. Operations such as function evaluation, differentiation, integration, fast rotation by an Euler angle, and a Helmholtz solver are designed. Our algorithms are particularly efficient for vector calculus operations, and we describe how to compute the poloidal-toroidal and Helmholtz-Hodge decompositions of a vector field defined on the ball.
Keywords:
functions
spherical
double Fourier sphere method
poloidal-toroidal decomposition
Helmholtz-Hodge decomposition
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
2.6
Papers:
5.1K
Citations:
1.8W