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A geometrical approach to quantum holonomic computing algorithms

Samoilenko, A.M.; Prykarpatsky, Y.A.; Taneri, Ufuk; … - In: Mathematics and Computers in Simulation (MATCOM) 66 (2004) 1, pp. 1-20

The article continues a presentation of modern quantum mathematics backgrounds started in [Quantum Mathematics and its Applications. Part 1. Automatyka, vol. 6, AGH Publisher, Krakow, 2002, No. 1, pp. 234–2412; Quantum Mathematics: Holonomic Computing Algorithms and Their Applications. Part 2....

Persistent link: https://www.econbiz.de/10010870714

Interpolated mapping system identification as a numerical algorithm

Bursal, Faruk H.; Tongue, Benson H. - In: Mathematics and Computers in Simulation (MATCOM) 36 (1994) 3, pp. 209-220

A new method for nonlinear system identification, based on the technique of Interpolated Mapping, is formulated. The input to the procedure is a map, taking initial conditions on a regular grid to their images after a fixed time step. It is assumed that the underlying dynamics evolves in...

Persistent link: https://www.econbiz.de/10010870370

Approximate solution of linear ordinary differential equations with variable coefficients

Li, Xian-Fang - In: Mathematics and Computers in Simulation (MATCOM) 75 (2007) 3, pp. 113-125

In this paper, a novel, simple yet efficient method is proposed to approximately solve linear ordinary differential equations (ODEs). Emphasis is put on second-order linear ODEs with variable coefficients. First, the ODE to be solved is transformed to either a Volterra integral equation or a...

Persistent link: https://www.econbiz.de/10010870698

A variant for numerical simulation of a high-frequency converter with voltage-fed inverter

Chindriş, Mircea; Coloşi, Tiberiu - In: Mathematics and Computers in Simulation (MATCOM) 42 (1996) 4, pp. 685-692

The paper presents significant aspects of analytical and numerical simulation of a high-frequency converter with voltage-fed inverter, framing in over 10 years preoccupations of the Electric Powers Laboratory from our Technical University. Here some constructive-functional aspects are...

Persistent link: https://www.econbiz.de/10011050972

Symbolic computation of approximate symmetries for ordinary differential equations

Andrianov, Serge - In: Mathematics and Computers in Simulation (MATCOM) 57 (2001) 3, pp. 147-153

This report presents a method of constructing approximate symmetries and invariants in dynamical systems. At first, a … construction of approximate invariants and symmetries based on the matrix formalism for Lie algebraic tools. The knowledge of … symmetries of the dynamical system is also useful for problems of synthesis of a beamline with desired characteristics. …

Persistent link: https://www.econbiz.de/10010749034

Parallel runs of a large air pollution model on a grid of Sun computers

Alexandrov, V.N.; Owczarz, W.; Thomson, P.G.; Zlatev, Z. - In: Mathematics and Computers in Simulation (MATCOM) 65 (2004) 6, pp. 557-577

Large-scale air pollution models can successfully be used in different environmental studies. These models are described mathematically by systems of partial differential equations. Splitting procedures followed by discretization of the spatial derivatives lead to several large systems of...

Persistent link: https://www.econbiz.de/10010749167

Normal forms

Bruno, A.D. - In: Mathematics and Computers in Simulation (MATCOM) 45 (1998) 5, pp. 413-427

We consider an autonomous system of ordinary differential equations near its stationary point. By means of the formal change of coordinates, we can transform the system into its normal form. By means of the power transformation of coordinates, the normal form is reducd to a problem of less...

Persistent link: https://www.econbiz.de/10010749365

Local simplification of first-order systems of ordinary differential equations of dimension two

Inès, Bacha - In: Mathematics and Computers in Simulation (MATCOM) 60 (2002) 1, pp. 19-44

In this paper, we present an algorithm to simplify a first-order system of two ordinary differential equations in the neighborhood of singular points with evidence, we prove a theorem dealing with its convergence and compare it with already known methods and apply it to some particular systems.

Persistent link: https://www.econbiz.de/10010749389