Precision implicit second order differences for numerical weather simulation

✍ Scribed by J.H.S. Bradley

• Publisher: Elsevier Science
• Year: 1976
• Tongue: English
• Weight: 513 KB
• Volume: 18
• Category: Article
• ISSN: 0378-4754
• DOI: 10.1016/0378-4754(76)90047-1

✦ Synopsis

Optimal approximations are derived for locally linearized partial differential equations with matrices of the same form as Galerkin B-spline approximations, but not necessarily having Galerkin equivalents. The matrix coefficients are chosen for correct frequency and poup velocity of long waves and at four mesh lengths. An overall error of 1% for intermediate wavelengths is possible. Splitting methods are found to handle advection terms relatively realistically.