In the present paper, we give a review of pseudo-random number generators. The new methods and theory appearing in 1990’s will be focused. This paper concerns with almost all kinds of generators such as the linear, n...
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In the present paper, we give a review of pseudo-random number generators. The new methods and theory appearing in 1990’s will be focused. This paper concerns with almost all kinds of generators such as the linear, nonlinear and in- versive congruential methods, Fibonacci and Tausworthe (or feedback shift regis- ter) sequences, add-with-carry and subtract-with-borrow methods, multiple prime generator and chaotic mapping, as well as the theory of combination of generators.
In this paper, G-orthogonality of Runge-Kutta methods applied to the initial value problems of G-orthogonal ordinary differential matrix equations is examined. A sufficient and necessary condition is given to make the...
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In this paper, G-orthogonality of Runge-Kutta methods applied to the initial value problems of G-orthogonal ordinary differential matrix equations is examined. A sufficient and necessary condition is given to make the methods preserve Gorthogonality possessed by the sloved problems. Several classes of linearly implicit Runge-Kutta methods with G-orthogonality are presented.
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