非全局Lipschitz条件下跳适应向后Euler方法的强收敛性分析

本文研究跳适应向后Euler方法求解跳扩散随机微分方程在非全局Lipschitz条件下的强收敛性.通过克服方程非全局Lipschitz系数给收敛性分析带来的主要困难,我们成功地建立了跳适应后向Euler方法的强收敛性结果并得到相应的收敛率.最后,我们通过数值试验对前文所得理论结果做进一步的验证.     

Convergence of Inexact Quasisubgradient Methods with Extrapolation

Journal of Optimization Theory and Applications - In this paper, we investigate an inexact quasisubgradient method with extrapolation for solving a quasiconvex optimization problem with a closed,...     

Sampling Consensus of 2nd-Order Multi-Agent Systems Based on Time-Varying Topology北大核心CSCD

基于速度一致位移差保持不变的一致性概念,研究了二阶多智能体系统在时变拓扑下的采样一致性问题。首先,引入虚拟领导者,将具有时变拓扑结构的多智能体系统的采样一致性问题转换为误差系统的采样控制稳定性问题。其次,通过预估采样误差,研究采样误差对系统达到一致性的影响。最后,应用Lyapunov稳定性理论,分析所构造的误差系统的稳定性,并给出该误差系统最终稳定的充分条件。数值仿真结果验证了理论分析的有效性和正确性。     

聚酯型脂肪族和芳香族聚氨酯硬段结晶特性对比

本文利用DSC、IR、WAXD、PLM和SALS等实验手段,探讨了具有相同软段的聚酯型脂肪族和芳香族聚氨酯硬段结晶特性的差异,发现脂肪族聚氨酯的相分离速率极快,氢键主要在硬段间形成,因而对硬段的结晶过程影响不大;而芳香族聚氨酯的相分离速率较慢,软硬段间又能形成氢键,因而对硬段的结晶起了阻碍作用。     

油菜花粉气味成分研究

为了提高气相色谱/质谱的检出灵敏度,采用进样新方法对油菜花粉气味组分进行分离测定,对下列11种成分作了鉴定:二甲二硫;正辛烷;1,3-二甲苯,异硫氰酸丙烯酯;1,4-二甲苯;1,2-二甲苯;3,4-二甲基庚烷;二甲三硫;2-甲基-5-已烯腈;萘;对-甲氧基苯丙烯。     

Numerical blow-up analysis of the explicit L1-scheme for fractional ordinary differential equations

Numerical Algorithms - This paper deals with the blow-up behavior of numerical solutions to nonlinear fractional ordinary differential equations with a dissipative term. Based on the positivity...     

Residual analysis and parameter estimation of uncertain differential equations

Fuzzy Optimization and Decision Making - All existing methods to estimate unknown parameters in uncertain differential equations are based on difference scheme, and do not work when the time...     

An infeasible interior-point arc-search algorithm for nonlinear constrained optimization

Numerical Algorithms - In this paper, we propose an infeasible arc-search interior-point algorithm for solving nonlinear programming problems. Most algorithms based on interior-point methods are...     

Manifolds of positive Ricci curvature,quadratically asymptotically nonnegative curvature,and infinite Betti numbers

Science China Mathematics - In a previous paper (Jiang and Yang (2021)), we constructed complete manifolds of positive Ricci curvature with quadratically asymptotically nonnegative curvature and...