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Optimization method for the inverse problem of reconstructing the source term in a parabolic equation

Yang, Liu; Deng, Zui-Cha; Yu, Jian-Ning; Luo, Guan-Wei - In: Mathematics and Computers in Simulation (MATCOM) 80 (2009) 2, pp. 314-326

are established. The global uniqueness and stability of the minimizer are deduced from the necessary condition. The …

Persistent link: https://www.econbiz.de/10010870059

On the collapse arresting effects of discreteness

Tzirakis, N.; Kevrekidis, P.G. - In: Mathematics and Computers in Simulation (MATCOM) 69 (2005) 5, pp. 553-566

We examine the effects of discreteness on a prototypical example of a collapse exhibiting partial differential equation (PDE). As our benchmark example, we select the discrete nonlinear Schrödinger (DNLS) equation. We provide a number of physical settings where issues of the interplay of...

Persistent link: https://www.econbiz.de/10011050732

Vector optimization of two-dimensional numerical field problems applied to the design of a wind turbine generator

Schätzer, C.; Müller, W.; Binder, A. - In: Mathematics and Computers in Simulation (MATCOM) 49 (1999) 1, pp. 105-117

A method is described to solve a nonlinear parameter optimization problem with several objective functions. The method is applied to find the optimal design of a permanent magnet synchronous generator. The generator is part of a 1.5MW wind turbine system, and is optimized in order to maximize...

Persistent link: https://www.econbiz.de/10011050700

Stability analysis of equilibria in a delay differentialequations model of CML including asymmetric division and treatment

Halanay, A.; Cândea, D.; Rădulescu, I.R. - In: Mathematics and Computers in Simulation (MATCOM) 110 (2015) C, pp. 69-82

Chronic Myelogenous Leukemia under treatment is considered. Stability of equilibria is investigated and emergence of periodic …

Persistent link: https://www.econbiz.de/10011264181

Trapezoidal methods for fractional differential equations: Theoretical and computational aspects

Garrappa, Roberto - In: Mathematics and Computers in Simulation (MATCOM) 110 (2015) C, pp. 96-112

The paper describes different approaches to generalize the trapezoidal method to fractional differential equations. We analyze the main theoretical properties and we discuss computational aspects to implement efficient algorithms. Numerical experiments are provided to illustrate potential and...

Persistent link: https://www.econbiz.de/10011264185

On the stability analysis of nonlinear systems using polynomial Lyapunov functions

Bouzaouache, Hajer; Braiek, Naceur Benhadj - In: Mathematics and Computers in Simulation (MATCOM) 76 (2008) 5, pp. 316-329

In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a … quadratic Lyapunov function shows that it doesn’t exist positive definite quadratic Lyapunov function that proves stability of … for global asymptotic stability of analytical nonlinear systems are proposed to allow computational implementation. …

Persistent link: https://www.econbiz.de/10010869927

The domain of attraction for the endemic equilibrium of an SIRS epidemic model

Zhang, Zhonghua; Wu, Jianhua; Suo, Yaohong; Song, Xinyu - In: Mathematics and Computers in Simulation (MATCOM) 81 (2011) 9, pp. 1697-1706

In this paper, a new method is adopted to construct a Lyapunov function for the endemic equilibrium of the J. Mena-Lorca and H.W. Hothcote’s SIRS epidemic model with bilinear incidence and constant recruitment. On the basis of the Lyapunov function, the domain of the attraction of the endemic...

Persistent link: https://www.econbiz.de/10010869930

On stability of a class of neutral type functional differential equations

Arino, Ovide; Nosov, Valery R - In: Mathematics and Computers in Simulation (MATCOM) 45 (1998) 3, pp. 299-307

This paper deals with the study of stability and estimation of stability domain for a class of nonlinear integro …-difference equations, which coincide with special class of neutral type functional differential equations. The new approach for stability …

Persistent link: https://www.econbiz.de/10010869983

Some aspects of lubrication in heavy regimes: Thermal effects, stability and turbulence

Durany, J.; Pereira-Pérez, J.; Varas, F. - In: Mathematics and Computers in Simulation (MATCOM) 102 (2014) C, pp. 90-103

In this work, a combination of numerical methods applied to thermohydrodynamic lubrication problems with cavitation is presented. It should be emphasized the difficulty of the nonlinear mathematical coupled model involving a free boundary problem, but also the simplicity of the algorithms...

Persistent link: https://www.econbiz.de/10010870011

A note on the stability of fractional order systems

Tavazoei, Mohammad Saleh; Haeri, Mohammad - In: Mathematics and Computers in Simulation (MATCOM) 79 (2009) 5, pp. 1566-1576

In this paper, a new approach is suggested to investigate stability in a family of fractional order linear time … same stability property as the fractional order system. In this way, instead of performing the stability analysis on the … understood. As a useful consequence, we have extended two general tests for robust stability check of ordinary systems to …

Persistent link: https://www.econbiz.de/10010870049