The Use of a Balance Equation Model in Numerical Weather Prediction.
Environmental research papers,
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The finite-difference solution to a balance equation model is discussed in terms of the solution to a coupled, linear elliptic system with variable coefficients both in space and time. By suitably arranging the unknowns in their finite-difference analogs, this coupled system is in fact no more than just one large linear algebraic system. Thus for a two-level model, the problem of solving a system of four coupled equations becomes that of solving a single algebraic system of 4JK unknowns.