Differential operators in projective coordinates

被引：0
|
作者：
Deprit, A
Palacián, J
机构：
[1] Univ Publ Navarra, Dept Matemat & Informat, Navarra 31006, Spain
[2] Univ Zaragoza, Grp Mecan Espacial, E-50009 Zaragoza, Spain
来源：
CHAOS SOLITONS & FRACTALS | 2004年 / 20卷 / 02期
关键词：
D O I：
10.1016/S0960-0779(03)00259-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The singularities along the polar axis induced by the spherical coordinates can be circumvented with the use of the projective coordinates, replacing besides cumbersome trigonometric manipulations by elementary algebraic operations of vectorial nature. New formulas in projective coordinates for the gradient, curl, divergence, Jacobian, Laplacian and Hessian are also provided. (C) 2003 Elsevier Ltd. All rights reserved.
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页码：375 / 385
页数：11
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