Computational Mathematics and Modeling
1573-837X
Cơ quản chủ quản: N/A
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......
A Linear Terminal-Control Problem with Phase Constraints
Tập 31 - Trang 143-150 - 2020
We seek a control that satisfies the boundary conditions for a linear controlled system whose trajectory passes outside some neighborhood of a given phase-space point. Existence conditions are derived. Numerical calculations of the control and the trajectory are presented for an inertial system of second order.
Constructing the reachability set for a control problem with phase constraints
Tập 18 - Trang 453-455 - 2007
A method is proposed for describing the reachability set in a phase-constrained control problem. Sufficient conditions are obtained when the reachability set in a phase-constrained control problem is the intersection of two sets: the reachability set for the corresponding problem without phase constraints and the set of phase constraints.
Some Computational Aspects of Processing and Classification of Observations of Mental Impairments during the Acute Period of Concussion
Tập 15 - Trang 19-37 - 2004
A number of fast computer procedures are described to find the minimum error vectors for observations of patients with cranial-cerebral traumas of a special type.
Generalized Hopf Formulas for the Nonautonomous Hamilton–Jacobi Equation
Tập 11 - Trang 391-400 - 2000
Generalized Hopf formulas are provided for minimax (viscosity) solutions of Hamilton–Jacobi equations of the form V
t + H(t, D
x
V) = 0 and V
t + H(t, V, D
x
V) = 0 with the boundary condition V(T, x) = ϕ(x), where ϕ is a convex function. The bounds within which these formulas apply are elucidated.
Investigation and Development of Recursive Neural Networks for the Analysis of Industrial Processes
Tập 33 Số 1 - Trang 53-71 - 2022
We consider the application of neural-network approaches to time-series analysis for the investigation of modern production processes. As an application of the proposed techniques, we study the optimization problem for a fixed set of process outputs. We examine and experimentally evaluate the most appropriate algorithms for industrial process modeling. Methods are proposed for choosing the algorit......
Time-optimal control problem with linear input perturbed by a small parameter
Tập 1 - Trang 449-452 - 1990
Mathematical Modeling of the Dynamics of Plasma Heating in a Magnetic Tube During Solar Flares
Tập 30 - Trang 91-97 - 2019
A mathematical model describing the initial phase of flare heating in the solar corona is proposed. The model is based on the nonlinear heat equation with a sign-changing volume source, which is obtained by reduction of the stationary- plasma energy equation. Flares are assumed to arise as a result of sausage-type instabilities in magnetic tubes and formation of collapsing magnetic traps. A source......
High-frequency approximation of the green's function for the Helmholtz equation in an axial nonhomogeneous medium
Tập 8 - Trang 278-281 - 1997
A method is proposed for constructing the field of a point source in an axial two-dimensionally nonhomogeneous medium. The problem is reduced to an integral equation of the 2nd kind. If the frequency ω of the point source is sufficiently high, the equation can be solved by the method of successive approximations. The Neumann series converges in the usual sense for ω>>1 and it is an asymptotic seri......