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.
The simulation on a distributed parallel computer system requires parallel ran- dom number generators. In this paper, four algorithms of parallel random number generators are introduced. They are segmented parallel al...
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The simulation on a distributed parallel computer system requires parallel ran- dom number generators. In this paper, four algorithms of parallel random number generators are introduced. They are segmented parallel algorithm and leapfrog par- allel algorithm of multiplicative congruential generator and generalized feedback shift register (GFSR) generator, parallel algorithm of lagged-Fibonacci generator,and parallel algorithm of combined generator.
In this paper, we combine a finite element approach with the natural boundary element method to stduy the weak solvability and Galerkin approximations of a class of semilinear exterior boundary value problems. Our ana...
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In this paper, we combine a finite element approach with the natural boundary element method to stduy the weak solvability and Galerkin approximations of a class of semilinear exterior boundary value problems. Our analysis is mainly based on the variational formulation with constraints. We discuss the error estimate of the finite element solution and obtain the asymptotic rate of convergence O（h^n) Finally, we also give two numerical examples.
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