UNIFORM APPROXIMATIONS OF THE FUNDAMENTAL SOLUTION OF THE EQUATION OFINTERNAL WAVES

New representations of the fundamental solution of the equation of int ernal waves as convergent and asymptotic series are proposed using spe cial functions. A system of three formulae is constructed, each defini ng a uniform approximation of the fundamental solution in some space-t ime domain, the union of these domains covering the whole space-time c ontinuum. ?he results of a numerical experiment are presented, which s how that the relative approximation error does not exceed 0.5%, while the computer time required to calculate the fundamental solution is re duced by a factor of over 200 as compared to the exact formulae. Copyr ight (C) 1996 Elsevier Science Ltd.