Use of a Method of Variable Directions in Problems of Numerical Weather Forecasting

The paper is a brief exposition of one of the most rapidly converging approximate methods for solving elliptical and parabolic differential equations (variable directions method) and a description of numerical experiments for application of this method in prognostic problems. Test problems are given...

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Bibliographische Detailangaben
1. Verfasser:	Sitnikov,I. G
Format:	Report
Sprache:	eng
Schlagworte:	BOUNDARY VALUE PROBLEMS ELLIPTIC DIFFERENTIAL EQUATIONS ITERATIONS Meteorology NUMERICAL ANALYSIS NUMERICAL INTEGRATION Numerical Mathematics NUMERICAL WEATHER FORECASTING PARABOLIC DIFFERENTIAL EQUATIONS PARTIAL DIFFERENTIAL EQUATIONS TRANSLATIONS USSR WEATHER FORECASTING WIND
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Zusammenfassung:	The paper is a brief exposition of one of the most rapidly converging approximate methods for solving elliptical and parabolic differential equations (variable directions method) and a description of numerical experiments for application of this method in prognostic problems. Test problems are given for solution of the Poisson equation with a special right hand side; this made it possible to draw preliminary conclusions concerning the relative effectiveness of the method for different values of the parameters of convergence in stationary and nonstationary computation processes. (Author) Edited machine trans. of Chislennye Metody Analiza i Prognoza Meteorologicheskikh Elementov. Trudy (USSR) n71 p84-97 1970, by Charles T. Ostertag, Jr.