A5034372090- Numerical methods for differential equations
- Model Reduction and Neural Networks
- Electromagnetic Simulation and Numerical Methods
- Advanced Numerical Methods in Computational Mathematics
- Differential Equations and Numerical Methods
- Matrix Theory and Algorithms
- Fractional Differential Equations Solutions
- Probabilistic and Robust Engineering Design
- Nonlinear Dynamics and Pattern Formation
- Mathematical and Theoretical Epidemiology and Ecology Models
- Real-time simulation and control systems
- Numerical methods in engineering
- Power System Optimization and Stability
- Computational Fluid Dynamics and Aerodynamics
- Electromagnetic Scattering and Analysis
- Neural Networks Stability and Synchronization
- Advanced Differential Equations and Dynamical Systems
- Nonlinear Differential Equations Analysis
- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Hydraulic and Pneumatic Systems
- Advanced Mathematical Modeling in Engineering
- Tensor decomposition and applications
- Evolution and Genetic Dynamics
- stochastic dynamics and bifurcation
Xi'an Jiaotong University
2016-2025
Xinjiang University
2015-2024
Yunnan Normal University
2022-2024
Beijing University of Posts and Telecommunications
2024
Xi'an Technological University
2023
John Wiley & Sons (United States)
2019
University of Vermont
2019
Brunel University of London
2019
Wherry & Sons (United Kingdom)
2019
Hudson Institute
2019
For a class of large linear input-output systems, we present new model order reduction algorithm based on general orthogonal polynomials in the time domain. The main idea is first to expand unknown state variables space spanned by polynomials, then coefficient terms polynomial expansion are calculated recurrence formula. basic procedure use generate projection matrix. Many classic methods with special cases approach. proposed approach has good computational efficiency and preserves stability...
The parareal algorithm, which permits us to solve evolution problems in a time parallel fashion, has created lot of attention over the past decade. algorithm its roots multiple shooting method for boundary value problems, is applied initial with particular coarse approximation Jacobian matrix. It therefore interest formulate parareal-type algorithms time-periodic also couple end interval beginning, and analyze their performance this context. We present two problems: one periodic problem...
Download This Paper Open PDF in Browser Add to My Library Share: Permalink Using these links will ensure access this page indefinitely Copy URL DOI
This paper focuses on the H 2 optimal model reduction problem of positive systems. According to coefficient matrices system, nonnegative orthonormal matrix is taken as projection matrix, and developed. Since nonnegative, reformulated a constrained optimization defined Stiefel manifold, further regarded oblique manifold. By augmented Lagrangian function, manifold tackled by employing Dai-Yuan-type conjugate gradient method solve series unconstrained subproblems. When objective function...
The objective of this paper is to study the dynamical properties a Holling-type II predator–prey system with constant rate harvesting. It shown that model has at most three equilibria in first quadrant and can exhibit numerous kinds bifurcation phenomena, including saddle-node bifurcation, degenerate Bogdanov–Takens codimension 3, supercritical subcritical Hopf generalized bifurcation. These results reveal far richer dynamics than no