A Convergent Method for Solving the Balance Equation

Trond Iversen Norwegian Institute for Air Research, N-2001 Lillestrøm, Norway

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Thor Erik Nordeng The Norwegian Meteorological Institute, Blindern, Oslo 3, Norway

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Abstract

A well known method for the solution of the balance equation is analyzed. It is shown that the method is convergent, provided that under-relaxation is used and that the approximate solutions satisfy the ellipticity criteria of the equation.

The technique on which the presented analysis is based can be utilized for other nonlinear iteration problems.

Abstract

A well known method for the solution of the balance equation is analyzed. It is shown that the method is convergent, provided that under-relaxation is used and that the approximate solutions satisfy the ellipticity criteria of the equation.

The technique on which the presented analysis is based can be utilized for other nonlinear iteration problems.

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