Solution of Poisson's Equation on a Sphere by Truncated Double Fourier SeriesSource: Monthly Weather Review:;1981:;volume( 109 ):;issue: 003::page 501Author:Yee, Samuel Y. K.
DOI: 10.1175/1520-0493(1981)109<0501:SOPEOA>2.0.CO;2Publisher: American Meteorological Society
Abstract: A method for the solution of Poisson's equation on the surface of a sphere is given. The method makes use of truncated double Fourier series expansions on the sphere and invokes the Galerkin approximation. It has an operation count of approximately I2J2(1 + log2J) for a latitude-longitude grid containing 2J(J ? 1) + 2 data points. Numerical results are presented to demonstrate the method's accuracy and efficiency.
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| contributor author | Yee, Samuel Y. K. | |
| date accessioned | 2017-06-09T16:03:17Z | |
| date available | 2017-06-09T16:03:17Z | |
| date copyright | 1981/03/01 | |
| date issued | 1981 | |
| identifier issn | 0027-0644 | |
| identifier other | ams-59831.pdf | |
| identifier uri | http://onlinelibrary.yabesh.ir/handle/yetl/4200432 | |
| description abstract | A method for the solution of Poisson's equation on the surface of a sphere is given. The method makes use of truncated double Fourier series expansions on the sphere and invokes the Galerkin approximation. It has an operation count of approximately I2J2(1 + log2J) for a latitude-longitude grid containing 2J(J ? 1) + 2 data points. Numerical results are presented to demonstrate the method's accuracy and efficiency. | |
| publisher | American Meteorological Society | |
| title | Solution of Poisson's Equation on a Sphere by Truncated Double Fourier Series | |
| type | Journal Paper | |
| journal volume | 109 | |
| journal issue | 3 | |
| journal title | Monthly Weather Review | |
| identifier doi | 10.1175/1520-0493(1981)109<0501:SOPEOA>2.0.CO;2 | |
| journal fristpage | 501 | |
| journal lastpage | 505 | |
| tree | Monthly Weather Review:;1981:;volume( 109 ):;issue: 003 | |
| contenttype | Fulltext |