Differential operators in projective coordinates

✍ Scribed by André Deprit; Jesús Palacián

• Book ID: 104363454
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 330 KB
• Volume: 20
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(03)00259-5

✦ Synopsis

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.