A proposal of 200MW Inertial Confinement Fusion Fission Hybrid reactor which does not produce plutonium is presented on the basis of one dimensional discrete ordinate transport calculation and burmup calculation by using code BISON 1.5^[4].The time dependent results of energy deposit,²³⁸U(n,γ),239Pu(n,α),⁶Li(n,α) reac-tion rates and K_eff are given.Such a novel reactor proposed here not only could maintain high output power but also could keep critical safety.

In order to solve a class of evolution equaiton u_t=au2K+1(where a is constant, u_2K+1=∂^2K+1/∂x_2K+1,K=l,2,……) two classes of explicit difference schemes with higher stability properties are constituted. And two classes of semi -explicit difference schemes are also established by introducing a dissipative term, they are unconditionally stable and can be calculated explicitly.

The paper discusses a class of system of generalized nonlinear schr.dinger equation of high order. A leap-frog finite difference scheme and mixing crank-Nicolson and leap frog finite difference scheme are givent and convergence and stability are also proved. As an example, a given numerical result confoums to the analytically exact one.

In this paper, a two and three level explicit difference schemes with high order accuracy for solving the equation of two-dimensional parabolic type is proposed.

In this paper, Four classes of three level semi-explieit difference Schemes for solving the dispersive equation u₁=au_xxx are developed. The orders of the local truncation error are all O(τ²+h²+(τ²)/(h³)) or O(τ²+h⁴+((τ)/(h))²+τh). The schemes of Ⅰ,Ⅱ and when paramater α≤1, the schemes of Ⅲ. Ⅳ are all shown to be unconditionally stable by the Von Neumann criterion for stability. And thev can be calculated explicitly when necessary boundary value are given.