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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some new algorithm developments on highly stiff stable schemes and on a SAV based approach for optimization problems
高刚性稳定方案 基于SAV 优化方法 新算法发展
2023/11/29
In the first part, I shall present a new way to construct highly stiff stable schemes. Traditional time discretization schemes are usually based on Taylor expansions at $t_{n+\beta}$ with $\beta\in [0...
Approximating the Expected Values for Combinatorial Optimization Problems over Stochastic Points
Approximating Expected Values Combinatorial Optimization Problems Stochastic Points
2016/1/22
We consider the stochastic geometry model where the location of each node is a random point in a given metric space,or the existence of each node is uncertain. We study the problem-s of computing the ...
New Variants of Newton’s Method for Nonlinear Unconstrained Optimization Problems
unconstrained optimization Newton’s method order of convergence power means initial guess
2013/1/28
In this paper, we propose new variants of Newton’s method based on quadrature formula and power mean for solving nonlinear unconstrained optimization problems. It is proved that the order of convergen...
Optimization problems in designing automobiles
mathematical model optimization automobile design system approach
2010/11/1
A mathematical model of optimization problems in designing automobiles is suggested and requirements raised are defined taking into account the main technical and economic characteristics of the autom...