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......
Uniqueness of the solution of the inverse problem of magnetotelluric sounding for two-dimensional media
Tập 1 - Trang 209-217 - 1990
Uniqueness of the solution of the inverse problem of magnetotelluric sounding in two-dimensional media is proved under certain assumptions on conductivity.
Optimal cooling of a section of a solid body
Tập 7 - Trang 393-398 - 1996
The article considers the cooling of a section of a solid body subject to constant internal energy. The numerical method proposed for the solution of the problem is a generalization of Plotnikov's method for the solution of optimal control problems of parabolic systems.
A method for computing the scattering diagram of a grid array with a quasi-three-dimensional field
Tập 5 - Trang 228-234 - 1994
Combining Compact Finite Difference Schemes with Filters for Image Restoration
Tập 27 - Trang 206-216 - 2016
In this study, the Rudin, Osher, and Fatemi (ROF) model is considered to restore images. To this end, the compact finite difference (CFD) method is introduced to approximate the spatial derivatives in the ROF model. Moreover, two filters are presented to improve the performance of the first- and second-order derivative approximation. The third-order total variation diminishing Runge-Kutta (TVD-RK3......
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 formV
t+H(t, DxV)=0 andV
t+H(t, V, DxV)=0 with the boundary conditionV (T, x)=ϕ(x), where ϕ is a convex function. The bounds within which these formulas apply are elucidated.
Guaranteed Deterministic Approach to Superhedging: Sensitivity of Solutions of the Bellman-Isaacs Equations and Numerical Methods
Tập 31 Số 3 - Trang 384-401 - 2020
We consider a guaranteed deterministic formulation for the super-replication problem in discrete time: find a guaranteed coverage of a contingent claim on an option under all possible scenarios. These scenarios are specified by a priori compacta that depend on historical prices: the price increments at each instant should be in the corresponding compacta. We assume the presence of trading constrai......
Minimum-order functional observers
Tập 21 - Trang 275-296 - 2010
The article considers the construction of a minimum-order observer for a linear state functional of a linear dynamical system. For a one-output system we derive a necessary and sufficient condition that allows reconstruction of the functional by a k th order observer. This result is generalized to a system with vector output. An algorithm for the construction of a minimal observer is proposed. The......
A Numerical Lagrangian Approach for Analysis of Contact Viscoelastic Problems
Tập 25 - Trang 416-422 - 2014
The objective of this paper is to develop a finite-element formulation associated with an incremental adaptive procedure established for analysis of frictional contact problems in viscoelastic solids. A generalized Maxwell model has been used to model the viscoelastic constitutive equations in which bulk and shear relaxation functions are represented by the sum of a series of decaying exponential ......