Journal of Numerical Mathematics and Stochastics . . . . . . . . . . . . . . . . JNM@S Online ISSN 2151-2302

Vol. 1, No. 1, 2009

◘ Editorial. . . . . . . . . . . . . .00                             
◘ On the Boundedness Character of a Rational System ; A. M.  BRETT, E.  
CAMOUZIS, G. LADAS, and C. D.  LYND  . . . . . . . . . . . .01 ◘ On a Randomized Romberg Integration Method ; N. H. S.  HAIDAR  . . . . . . . . . . 11 ◘ General Class of Nonlinear Implicit Inclusion Problems and A-Maximal Relaxed Monotone Models ; R. U.  VERMA . . . . . . . . . . . . . 24  ◘ Stabilized Milstein Type Methods for Stiff Stochastic Systems ; P. WANG, and Z. LIU  . . . . . . . . . . . 33  ◘ An Efficient Numerical Scheme for Simulation of Mean-reverting Square-root Diffusions ; D. DING, and Z. I. CHAO . . . . . . . . . . . . . . . 45 ◘ On Exact Proximal Point Algorithms and their Contribution to Linear Convergence Analysis ; R. U. VERMA   . . . . . . . . . . 56  ◘ Stochastic Diffusion Problems: Comparison Between Euler-Maruyama and Runge-Kutta Schemes ; M. ZAHRI   . . . . . . . . . . . . 65  ◘ Solution of Singular Linear Vibrational BVPs by the Homotopy Analysis Method ; S. ABBASBANDY, and E. SHIVANIAN . . . . . . . . . . . . . . . . . .77 ◘ Effective Stochastic Simulation Methods for Chemical Reaction Systems ; T. TIAN . . . . . . . . . . . . . 85

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