in this paper, we present the numerical solution of ordinary dierential equations (or sdes), from each order especially second-order with time-varying and gaussian random coecients. we indicate a complete analysis for second-order equations in special case of scalar linear second-order equations (damped harmonic oscillators with additive or multi- plicative noises). making stochastic dierent...

E.E. Tzirtzilakis∗1,2, Ch. Skokos∗∗2,3, and T.C. Bountis∗∗∗2,4 1 Department of Applications of Informatics in Management and Finance, Technological Educational Institute of Mesologhi. Mesologhi, 30200 Greece. 2 Center for Research and Applications of Nonlinear Systems, University of Patras, 26500 Patras, Greece. 3 Research Center for Astronomy and Applied Mathematics, Academy of Athens, Athens,...

In this paper we treat three problems on a two-dimensional ‘punctured periodic domain’: we take Ωr = (−L,L) \Dr, where Dr = B(0, r) is the disc of radius r centred at the origin. We impose periodic boundary conditions on the boundary of the box Ω = (−L,L), and Dirichlet boundary conditions on the circumference of the disc. In this setting we consider the Poisson equation, the Stokes equations, ...

Measurements of KL branching fractions and the CP violation parameter j j T. Alexopoulos, M. Arenton, R. F. Barbosa,* A. R. Barker, L. Bellantoni, A. Bellavance, E. Blucher, G. J. Bock, E. Cheu, S. Childress, R. Coleman, M. D. Corcoran, B. Cox, A. R. Erwin, R. Ford, A. Glazov, A. Golossanov, J. Graham, J. Hamm, K. Hanagaki, Y. B. Hsiung, H. Huang, V. Jejer, D. A. Jensen, R. Kessler, H. G. E. Ko...

E. Abouzaid, M. Arenton, A. R. Barker,* M. Barrio, L. Bellantoni, E. Blucher, G. J. Bock, C. Bown, E. Cheu, R. Coleman, M.D. Corcoran, B. Cox, A. R. Erwin, C. O. Escobar, A. Glazov, A. Golossanov, R.A. Gomes, P. Gouffon, J. Graham, J. Hamm, Y. B. Hsiung, D.A. Jensen, R. Kessler, K. Kotera, J. LaDue, A. Ledovskoy, P. L. McBride, E. Monnier, H. Nguyen, R. Niclasen, D.G. Phillips II, V. Prasad, X....

the partial differential equations for water flow and solute transport in a two-dimensional saturated domain are rendered discrete using the finite difference technique; the resulting system of algebraic equations is solved using a dynamic programming (dp) method. the advantage of the dp algorithm is that the problem is converted from solving an algebraic system of order nc(nl-1) nc(nl-1) into...