SUMMARYIn the present paper, a quasi-analytic method for solving structural optimization problems has been developed by co-ordinated use of mathematical transformations, high-quality approximation and a twolevel approximation strategy. The method which has the advantages of both generality in applications and high eciency in computations is especially of bene®t to large practical design problems. Several typical examples of dierent sorts have been optimized to test its power. #
hi order to use tire second-order 5-point d!fference scheme mentioned to compute the solution of onc dimension unsteady equations of the direct reflection of the strong plane detonation wave meeting a solid wall barrier, in this paper, we technically construct the d(ffcrence schemes qf the boundary and sub-boundary of the problem, and dethwe the atao-analogue attalytie solutions of the initial value problem, and at the same time. we present a method for the singular property oJ the initial value problem. from which we can get a .~'ati.s~wtory computation result of this difficult problem.TIw d(f.ferenec scheme ,tsed in this paper to deal with the discontinuity problems t~/" the shock ware are valuable and worth generalization.
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