As RWCE algorithm is used to optimize heat exchanger networks, the existence of fixed investment cost makes it difficult to produce and retain heat exchanger units with small loads. It makes structures that have not yet fully evolved be eliminated too early. We established a relaxation method of fixed investment cost. The fixed investment cost and the heat exchange of heat exchange unit are processed according to their variation. With heat exchange of heat exchange unit, relaxation strength in optimization process is adjusted in real time to guide and promote the smooth generation and evolution of small load heat exchange unit, so as to enhance structural evolution ability of heat exchange network. The relaxation strategy is applied to 9SP and 15SP examples to verify that the relaxation strategy promotes structural evolution effectively and improves optimization quality. The optimal results (2 903 528 ＄ ·a^-1, 5 115 061 ＄ ·a^-1) are better than those in literatures.

We have developed a method to solve X-ray spectra. The method includes a iterative with range limit and a periodic smoothing. Better resuts had been obtained by use the method to solve X-ray spectra in laser nuclear fusion. This paper places stress on introduction the smoothing technique in the method. A smoothing weigh fuction was formed and iterative spectra was treated periodically by the weigh fuction in iterative Course. Computational results show, Numerical structure producted in iterative course of X-ray spectra was eliminated and convergence of iterative was improved and level of solving spectra was raised by using the techn-ique. physics bases of smoothing are discussed, a theoretical analyses about smoothing and experiemental results on number of smoothing and weigh fuction are given in this Paper.

ADI method is often used to calculate imcompressible Navier-Stokes equations^[1]. In the ordinary ADI method, the nonlinear con-vective terms and noslip condition are delayed and streamfunction-vorticity Navier-Stokes equations are uncoupled. So it can't keep comlete two-order accuracy and complete implicit. In this paper, a "alternating linearize" technique for the nonlinear terms is presented, so streamfunction-vorticity Navier-Stokes equations can be coupled and boundary points and inner points are simultaneously solving.This method seems to keep complete two-order accuracy. It is utilized to calculate the "two-dimensional cavity" flow problem at Reynolds number 1, 10, 100, 500, 1000 and 2000. The result shows that the improved ADI scheme has the advantage of unimproved one.