Approximation methods for hybrid diffusion systems with state-dependent switching processes : numerical algorithms and existence and uniqueness of solutions [PDF]
, 2010 By focusing on hybrid diffusions in which continuous dynamics and discrete events coexist, this work is concerned with approximation of solutions for hybrid stochastic differential equations with a state-dependent switching process.
Yuan, Chenggui +3 more
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A Matrix Spline Method for a Class of Fourth-Order Ordinary Differential Problems
Mathematics, 2022 Differential matrix models provide an elementary blueprint for the adequate and efficient treatment of many important applications in science and engineering.
Michael M. Tung +4 more
doaj +1 more source
Applying Machine Learning Methods and Models to Explore the Structure of Traffic Accident Data
Computation, 2022 The problem of reducing the increasing number of road traffic accidents has become more relevant in recent years. According to the United Nations plan this number has to be halved by 2030.
Anton Sysoev +4 more
doaj +1 more source
A Novel Real-Time Filtering Method to General Nonlinear Filtering Problem Without Memory
IEEE Access, 2021 In this paper, the filtering problem for the general time-invariant nonlinear state-observation system is considered. Our work is based on the Yau-Yau filtering framework developed by S.-T. Yau and the third author in 2008.
Ji Shi +2 more
doaj +1 more source
Inertial-Based Derivative-Free Method for System of Monotone Nonlinear Equations and Application
IEEE Access, 2020 Iterative methods for solving nonlinear problems are of great importance due to their appearance in various areas of applications. In this paper, based on the inertial effect, we propose two projection derivative-free iterative methods for solving system
Aliyu Muhammed Awwal +4 more
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Інформаційні технології і засоби навчання, 2021 Due to the rapid development and implementation of the latest information technologies in many fields of science and technology significant changes have taken place.
Олеся Петрівна Нечуйвітер
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Numerical Fractional Optimal Control of Respiratory Syncytial Virus Infection in Octave/MATLAB
Mathematics, 2023 In this article, we develop a simple mathematical GNU Octave/MATLAB code that is easy to modify for the simulation of mathematical models governed by fractional-order differential equations, and for the resolution of fractional-order optimal control ...
Silvério Rosa, Delfim F. M. Torres
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Известия Иркутского государственного университета: Серия "Математика", 2023 We study a singular problem of optimal control of a nonlocal transport equation in the space of probability measures, in which the structure of the drivng vector field with respect to the control variable is somewhat equivalent to the affine one, while ...
M. V. Staritsyn +2 more
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Exact and Fast Numerical Algorithms for the Stochastic Wave Equation [PDF]
, 2003 On the basis of integral representations we propose fast numerical methods to solve the Cauchy problem for the stochastic wave equation without boundaries and with the Dirichlet boundary conditions.
Martin, A. +9 more
core +1 more source
A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]
, 2009 Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga +14 more
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