A CONVERGENT METHOD FOR SOLVING THE BALANCE EQUATIONSource: Journal of Meteorology:;1958:;volume( 015 ):;issue: 002::page 220Author:Arnason, Geirmundur
DOI: 10.1175/1520-0469(1958)015<0220:ACMFST>2.0.CO;2Publisher: American Meteorological Society
Abstract: The nonlinear balance equation is replaced by an infinite system of linear differential equations. This system has a series of solutions which under certain conditions converge toward the solution of the balance equation. It is shown that these conditions coincide with the conditions for ellipticity of the balance equation. A slightly different method of solution is shown to diverge. This is illustrated by a case where the sequence of approximate solutions is compared with the solution of the balance equation.
|
Collections
Show full item record
| contributor author | Arnason, Geirmundur | |
| date accessioned | 2017-06-09T14:11:52Z | |
| date available | 2017-06-09T14:11:52Z | |
| date copyright | 1958/04/01 | |
| date issued | 1958 | |
| identifier issn | 0095-9634 | |
| identifier other | ams-14427.pdf | |
| identifier uri | http://onlinelibrary.yabesh.ir/handle/yetl/4149987 | |
| description abstract | The nonlinear balance equation is replaced by an infinite system of linear differential equations. This system has a series of solutions which under certain conditions converge toward the solution of the balance equation. It is shown that these conditions coincide with the conditions for ellipticity of the balance equation. A slightly different method of solution is shown to diverge. This is illustrated by a case where the sequence of approximate solutions is compared with the solution of the balance equation. | |
| publisher | American Meteorological Society | |
| title | A CONVERGENT METHOD FOR SOLVING THE BALANCE EQUATION | |
| type | Journal Paper | |
| journal volume | 15 | |
| journal issue | 2 | |
| journal title | Journal of Meteorology | |
| identifier doi | 10.1175/1520-0469(1958)015<0220:ACMFST>2.0.CO;2 | |
| journal fristpage | 220 | |
| journal lastpage | 225 | |
| tree | Journal of Meteorology:;1958:;volume( 015 ):;issue: 002 | |
| contenttype | Fulltext |