A Shooting Method for the Solution of a Discrete Poisson Equation on the Surface of a Sphere.
Environmental research papers,
AIR FORCE GEOPHYSICS LAB HANSCOM AFB MASS
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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.
- Theoretical Mathematics