Numerical Methods in Weather Prediction by G. I. Marchuk

By G. I. Marchuk

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Thus, = 0. 15). Let us proceed to solve the problem posed by Eqs. 15). 17) rA(r',

2π 2nJo Jo S[l η — \1(Τ9Η) 3 «-0. 7. 56), U'(\,r) = U'(l,r) 0 for r > 0, for r = 0.

37), a n d let us integrate by parts. Then f 1 | - η A (/, η) Μ, (ζ, r', η) άη - A ( r \ 1) Μ*(ζ, r') Jo δ>? - Γα (γ', Jo = ι;) ι» I - Af! 37) can be written in the form (2 The influence functions Mt (ζ, r, η) and Μ2 (ζ, r, 77) characterize the domain of dependence of the solution on meteorological variables in the surrounding space. 43). Namely, let us rewrite the quantities (ζη)μ, (η/ζ)μ, and (ζ/η)μ in exponential form (ζηΥ = e x p ( - / x l n £ ) , (^J = e x p ^ - μ l n ^ , If the inequalities ζη < 1, η/ζ ^ 1, C/iy <1 (^J = e x p ^ - μ l n ^ .

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