Computational Mathematics and Modeling
1573-837X
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Các bài báo tiêu biểu
Solving 2D Reaction-Diffusion Equations with Nonlocal Boundary Conditions by the RBF-MLPG Method
Tập 25 - Trang 521-529 - 2014
This paper is concerned with the development of a new approach for the numerical solution of linear and nonlinear reaction-diffusion equations in two spatial dimensions with Bitsadze-Samarskii type nonlocal boundary conditions. Proper finite-difference approximations are utilized to discretize the time variable. Then, the weak equations of resultant elliptic type PDEs are constructed on local subd......
Maximizing the sum of superdiagonal matrix elements in local variational problems with a singular integrand
Tập 11 - Trang 327-334 - 2000
We show that the extremum of the local variational problem with a singular nonlinear integrand found by the optimal path continuation procedure is in fact a local extremum. Conditions simplifying the search for a global extremum are identified.
Direct Simulation of Laminar–Turbulent Transition in a Viscous Compressible Gas Layer
Tập 25 Số 1 - Trang 27-48 - 2014
We present simulation results for oscillatory modes in supersonic flow past an aircraft with a hypersonic jet engine. The flow of viscous compressible gas is modeled by a quasi-gas dynamic (QGD) system of equations. A coordinate transformation is applied to adapt the computational region to the configuration of the compression shock in supersonic flow past an object. An original method is proposed......
Compound Poisson law generalized by negative binomial distribution
Tập 17 - Trang 76-87 - 2006
For the compound Poisson law generalized by the negative binomial distribution we derive the explicit representation of the probability function, the finite-difference recurrence, and expressions for the derivatives with respect to all parameters. Explicit representations of ordinary and factorial cumulants to sixth order are given and asymptotic normality of the distribution is proved. The distri......
Parametric Perturbations and Dynamic System Control
Tập 15 - Trang 257-275 - 2004
The article analyzes dynamical systems with externally applied periodic perturbations in a general setting. We provide a rigorous justification of an approach that reduces such systems to autonomous systems and thus simplifies the analysis. The behavior of families of quadratic one-dimensional maps and circle maps in the presence of parametric perturbations is studied in detail. We prove the exist......
Generalized Nash equilibrium
Tập 11 - Trang 204-210 - 2000
For accep/reject games and coalitionless games, the classical Roos-Nash equilibrium is generalized to a so-called strongly dependent equilibrium, which exists for a wider class of games than the classical equilibrium. The following hierarchical chain of progressively stronger equilibria is established: symmetrical activeA-equilibrium, strongly dependent equilibrium, symmetricalB-equilibrium, Roos-......
Modal Controllers for Multivariable Control Systems
Tập 12 - Trang 309-313 - 2001
The language of transfer functions is used to develop a method for the construction of modal controllers for multivariable systems that ensure the desired location of the roots of the closed-system characteristic equation. The proposed method of modal controller design naturally intersects with methods of autonomy theory and can be applied to solve problems in this theory.
Application of a Quasi-Acoustic Scheme to Many-Dimensional Gas-Dynamic Problems
Tập 25 - Trang 334-341 - 2014
A new numerical algorithm is proposed for gas-dynamic Euler equations in three spatial dimensions. The algorithm is based on piecewise-linear reconstruction and quasi-acoustic representation of the solution inside a grid cell. As an application of the numerical scheme, we consider the problem of interaction of gas jets from aircraft engines with a reflecting baffle screen.
Simulating the dynamics of collective behavior in nonhomogeneous groups
Tập 4 - Trang 219-224 - 1993