A5101960985- Nonlinear Photonic Systems
- Nonlinear Waves and Solitons
- Numerical methods for differential equations
- Differential Equations and Numerical Methods
- Advanced Mathematical Identities
- Advanced Combinatorial Mathematics
- Advanced Fiber Laser Technologies
- Analytic Number Theory Research
- Stochastic processes and statistical mechanics
- Quantum Mechanics and Non-Hermitian Physics
- Markov Chains and Monte Carlo Methods
- Fractional Differential Equations Solutions
- Matrix Theory and Algorithms
- Mathematical Dynamics and Fractals
- Probability and Risk Models
- Photonic and Optical Devices
- Theoretical and Computational Physics
- Stochastic processes and financial applications
- Advanced Mathematical Modeling in Engineering
- Advanced Numerical Methods in Computational Mathematics
- Numerical methods in engineering
- Electromagnetic Simulation and Numerical Methods
- Advanced Mathematical Physics Problems
Jiangsu University
2017-2023
Zhejiang Normal University
2020-2022
Zhejiang A & F University
2016-2021
Harbin Institute of Technology
2013-2017
In this paper, we give the definition of tree-indexed Markov chains in random environment with countable state space, and then study realization chain indexed by a tree environment. Finally, prove strong law large numbers Shannon–McMillan theorem for Cayley Markovian space.
The aim of this paper is to analyze the delay-dependent stability symmetric Runge--Kutta methods, including Gauss methods and Lobatto IIIA, IIIB, IIIS for linear neutral delay integro-differential equations. By means root locus technique, structure curve given numerical region obtained. It proved that, under some conditions, analytical contained in region. Finally, examples are presented illustrate theoretical results.
The asymptotic equipartition property is a basic theorem in information theory. In this paper, we study the strong law of large numbers Markov chains single-infinite Markovian environment on countable state space. As corollary, obtain laws for frequencies occurrence states and ordered couples process. Finally, give