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...... hiện toàn bộ
For a certain class of two-dimensional bilinear controlled systems, we derive efficient sufficient conditions that ensure bang bang behavior of time-optimal controls.
Một phương pháp được đề xuất để tính toán phí bảo hiểm cho một nhóm các rủi ro bảo hiểm trong một danh mục không đồng nhất. Phí bảo hiểm được tính toán dựa trên dữ liệu thống kê được thu thập theo thời gian cho các lớp rủi ro khác nhau. Dữ liệu đại diện cho các mức hợp đồng khác nhau và các mức yêu cầu bảo hiểm khác nhau. Các phép tính được thực hiện bằng phương pháp khả năng tối đa.
#phí bảo hiểm #rủi ro bảo hiểm #danh mục không đồng nhất #dữ liệu thống kê #phương pháp khả năng tối đa
We consider a second-order differential equation that describes the behavior of the “boundary function” — the zeroth-order boundary function of the asymptotic boundary function method. The dual operator formalism is applied to this equation. The result is an approximate solution of the problem that satisfies the boundary conditions on both boundaries. The boundary function obtained in this way is ...... hiện toàn bộ
The article considers a three-dimensional inverse problem to determine the conductivity distribution in a three-dimensional body embedded in a layered conducting medium. A uniqueness theorem is proved for the class of layered bodies with finitely many layers where conductivity is observed only in the direction of the layer.
The control-package method is applied to solve the problem of constructing guaranteed positional guidance for a linear control dynamical system with a delay under incomplete information about the initial state. The problem is solved for the case when the initial state is contained in a compact functional set. A solvability criterion and a method for the construction of a guidance program package a...... hiện toàn bộ
The numerical method we have previously developed to search for soliton solutions is applied in this article to find spatial solitons described by a nonlinear Schroedinger equation. We show in detail how to derive the Schroedinger equation from Maxwell’s equations and now to construct a one-soliton analytical solution for the one-dimensional Schroedinger equation. The proposed numerical method is ...... hiện toàn bộ