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...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.展开更多
This paper presents the Alternating Segment Explicit-Implicit (ASE-I) method forsolving the convection-diffusion equation. The method has the obvious property ofparallelism, and is unconditionally stable. Numerical ex...This paper presents the Alternating Segment Explicit-Implicit (ASE-I) method forsolving the convection-diffusion equation. The method has the obvious property ofparallelism, and is unconditionally stable. Numerical example is presented.展开更多
In this paper, we proposed various types of synchronous and asynchronous twostage multisplitting iterative methods for the parallel solution of linear algebraic systems. Convergence theories were given and relaxed for...In this paper, we proposed various types of synchronous and asynchronous twostage multisplitting iterative methods for the parallel solution of linear algebraic systems. Convergence theories were given and relaxed forms of these methodswere investigated when the coefficient matrix is either monotone or an H-matrix.Computational experiments on CHALLENGE-L were presented.展开更多
In this paper, an adaptive mesh refinement technique is presented in numeri-cal solution of partial differential equations. Mainly including scanning function,refining/ derefine, and the method has been implemented ba...In this paper, an adaptive mesh refinement technique is presented in numeri-cal solution of partial differential equations. Mainly including scanning function,refining/ derefine, and the method has been implemented based on unstructuregrid and in Lagrangian or in Eulerian. Results are very helpful to the study of thenumerical simulation of detonation and study of explosive performances.展开更多
文摘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.
文摘This paper presents the Alternating Segment Explicit-Implicit (ASE-I) method forsolving the convection-diffusion equation. The method has the obvious property ofparallelism, and is unconditionally stable. Numerical example is presented.
文摘In this paper, we proposed various types of synchronous and asynchronous twostage multisplitting iterative methods for the parallel solution of linear algebraic systems. Convergence theories were given and relaxed forms of these methodswere investigated when the coefficient matrix is either monotone or an H-matrix.Computational experiments on CHALLENGE-L were presented.
文摘In this paper, an adaptive mesh refinement technique is presented in numeri-cal solution of partial differential equations. Mainly including scanning function,refining/ derefine, and the method has been implemented based on unstructuregrid and in Lagrangian or in Eulerian. Results are very helpful to the study of thenumerical simulation of detonation and study of explosive performances.
