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Numerical simulation of a nonlinearly coupled Schrödinger system: A linearly uncoupled finite difference scheme

Wang, Tingchun; Nie, Tao; Zhang, Luming; Chen, Fangqi - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 3, pp. 607-621

This article describes a finite difference scheme which is linearly uncoupled in computation for a nonlinearly coupled Schrödinger system. This numerical scheme is proved to preserve the original conservative properties. Using the discrete energy analysis method, we also prove that the scheme...

Persistent link: https://www.econbiz.de/10011050176

Semi-discrete method for generalized Schrödinger-type equations

He, Qiming - In: Mathematics and Computers in Simulation (MATCOM) 43 (1997) 2, pp. 123-138

In this article, a semi-discrete method for solving a class of generalized Schrödinger-type equations is presented. By discretization of the spatial variables, the initial-boundary value problem for partial differential equations can be reduced to the initial value problem for ordinary...

Persistent link: https://www.econbiz.de/10011050264

Simulation of incompressible flow with alternate pressure Dirichlet and Neumann conditions

Arbel, A.; Shklyar, A. - In: Mathematics and Computers in Simulation (MATCOM) 81 (2010) 3, pp. 742-756

The convergence rate of a methodology for solving incompressible flow in general curvilinear co-ordinates is analyzed … and calculated domains (first grid, second grid); these switches, lead to a higher convergence rate with the DSG. The … convergence rate was demonstrated with the calculation of natural convection heat transfer in concentric horizontal cylindrical …

Persistent link: https://www.econbiz.de/10010748737

Convergency of the Monte Carlo algorithms for linear transport modeling1This work was supported by the Ministry of Science, Education and Technology of Bulgaria under grants # I501...

Nedjalkov, M.; Dimov, I. - In: Mathematics and Computers in Simulation (MATCOM) 47 (1998) 2, pp. 383-390

by applying numerical MC techniques to the integral form of the BTE. The convergence proof is based on the IA and the … convergence of the Neumann series of the integral form of the BTE. A discussion of the probable error is presented. …

Persistent link: https://www.econbiz.de/10010748844

The immersed finite volume element methods for the elliptic interface problems

Ewing, Richard E.; Li, Zhilin; Lin, Tao; Lin, Yanping - In: Mathematics and Computers in Simulation (MATCOM) 50 (1999) 1, pp. 63-76

An immersed finite element space is used to solve the elliptic interface problems by a finite volume element method. Special nodal basis functions are introduced in a triangle whose interior intersects with the interface so that the jump conditions across the interface are satisfied. Optimal...

Persistent link: https://www.econbiz.de/10010749103

Nordsieck methods on nonuniform grids: Stability and order reduction phenomenon

Kulikov, G. Yu.; Shindin, S.K. - In: Mathematics and Computers in Simulation (MATCOM) 72 (2006) 1, pp. 47-56

In this paper we study an order reduction phenomenon arising in Nordsieck methods when they are applied to ordinary differential equations on nonuniform grids. It causes some difficulties of using stepsize selection strategies in practical computations. We prove that the problem mentioned above...

Persistent link: https://www.econbiz.de/10010749250

A new highly convergent Monte Carlo method for matrix computations1Supported by The Royal Society (UK), partially supported by the NATO Grant R406/02640 and by the Ministry of Scie...

Dimov, I.T.; Alexandrov, V.N. - In: Mathematics and Computers in Simulation (MATCOM) 47 (1998) 2, pp. 165-181

In this paper a second degree iterative Monte Carlo method for solving systems of linear algebraic equations and matrix inversion is presented. Comparisons are made with iterative Monte Carlo methods with degree one. It is shown that the mean value of the number of chains N, and the chain length...

Persistent link: https://www.econbiz.de/10010749765

An analysis on convergence of data-driven approach to ship lock scheduling

Wang, Xiaoping; Zhao, Yunliang; Sun, Peng; Wang, Xiaobin - In: Mathematics and Computers in Simulation (MATCOM) 88 (2013) C, pp. 31-38

slot number during a planned period. The convergence of data-driven approach is discussed from three aspects: the … convergence of ant colony optimization algorithm, the convergence of the proposed algorithm, and the error between the historical … ship data and the current arrival ship data. The research findings are beneficial for the convergence analysis of data …

Persistent link: https://www.econbiz.de/10010869896

Exponential Runge–Kutta methods for delay differential equations

Xu, Y.; Zhao, J.J.; Sui, Z.N. - In: Mathematics and Computers in Simulation (MATCOM) 80 (2010) 12, pp. 2350-2361

This paper deals with convergence and stability of exponential Runge–Kutta methods of collocation type for delay …

Persistent link: https://www.econbiz.de/10010870259

A new neural network for solving quadratic programming problems with equality and inequality constraints

Yang, Yongqing; Cao, Jinde; Xu, Xianyun; Hu, Manfeng; … - In: Mathematics and Computers in Simulation (MATCOM) 101 (2014) C, pp. 103-112

and an one-layer architecture. The proposed neural network is proven to be global convergence. Furthermore, illustrative …

Persistent link: https://www.econbiz.de/10010870381