ZeroBessCross
*Outdated* Please use the 'specialzeros' package instead. Left here for backwards compatibility.
----
The Bessel function cross product arise in problems on an annulus, and the roots of these need to be found to solve certain boundary value problems.
This function uses Olver's uniform asymptotic expansion to find an initial guess at the roots of the desired Bessel function cross product, then updates via Newton's method. The method works over a large range of radius ratio and order.
인용 양식
David E. Horsley (2024). ZeroBessCross (https://www.mathworks.com/matlabcentral/fileexchange/45371-zerobesscross), MATLAB Central File Exchange. 검색됨 .
MATLAB 릴리스 호환 정보
플랫폼 호환성
Windows macOS Linux카테고리
태그
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!버전 | 게시됨 | 릴리스 정보 | |
---|---|---|---|
1.4.0.0 | Retired package
|
||
1.3.0.0 | Minor improvement of theta phase function approximation for small order. The initial guess for early roots when order is near zero now have a worst case relative error less than 10^(-2) rather than ~10^(-1). |
||
1.2.0.0 | File no longer requires zerobess. |
||
1.1.0.0 | 25/07/14 update: The script now uses a new method based on Olver's asymptotics to generate initial guess. This fixes some missed roots when the order is very large or very small. |
||
1.0.0.0 |