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A Shooting Method for the Solution of a Discrete Poisson Equation on the Surface of a Sphere

Samuel Y. K. Yee

出版	Air Force Geophysics Laboratories, Air Force Systems Command, United States Air Force, 1976
URL	http://books.google.com.hk/books?id=1vdANdLdstoC&hl=&source=gbs_api
EBook	FULL_PUBLIC_DOMAIN

註釋

The solution of the Poisson equation plays an important role in problems such as air pollution and numerical weather prediction in geophysics and in problems such as fission in reactor physics. In the case of numerical weather prediction where solutions to the Poisson equation are required in daily routine operations, it is paramount that the solution procedure be efficient. An efficient shooting method is presented for the numerical solution of a discrete Poisson equation on the surface of the sphere. The solution is computed via two-dimensional shooting in the physical domain while the 'missing initial conditions' needed to start the shooting are obtained in a one-dimensional setting in the Fourier domain.