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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large deviations principle for weighted means of a recursive numerical method for ergodic SDEs
遍历 SDE递归 数值方法 加权均值 大偏差原理
2023/4/24
For ergodic SDEs, their ergodic limits are usually approximated by the suitable means of numerical methods. To reveal the numerical asymptotic behavior, we study the large deviations principle (LDP) f...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An Unfitted Interface Penalty Partly DG Finite Element Method for Interface Problems
接口问题 未拟合 有限元法 部分DG惩罚 Nitsche方法
2023/4/24
An unfitted interface penalty finite element method is proposed for the interface problems, in which Nitsche's method together with the ideas of merging elements and harmonic weighing fluxes are used,...
Unconstrained steepest descent method for multicriteria optimization on Riemmanian manifolds
Steepestdescent Paretooptimality Vectoroptimization
2010/11/8
In this paper we present a steepest descent method with Armijo's rule for multicriteria optimization in the Riemannian context. The well definedness of the sequence generated by the method is guarant...
Variable Order Mixed H-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry. Ii. Affine and Curvilinear Elements in 2D
Variable Mixed H-Finite Element Method
2010/11/9
We continue our study on variable order Arnold-Falk-Winther elements for 2D elasticity in context of both affine and parametric curvilinear elements. We present an $h$-stability result for affine ele...
Yang-Yang method for the thermodynamics of one-dimensional multi-component interacting fermions
Yang-Yang method one-dimensional multi-component
2010/11/24
Using Yang and Yang's particle-hole description, we present a thorough derivation of the thermodynamic Bethe ansatz equations for a general $SU(\kappa)$ fermionic system in one-dimension for both the...
Infinitely many symmetries and conservation laws for quad-graph equations via the Gardner method
conservation laws quad-graph equations
2010/4/1
The application of the Gardner method for generation of conservation laws to all the ABS equations is considered. It is shown that all the necessary information for the application of the Gardner meth...
Spectral Method for Exploring Patterns of Diblock Copolymers
Self-consistent field theory Diblock copolymer melt Initial value Phases Matsen-Schick’s method
2015/5/6
A numerical method in Fourier space is developed to solve the polymeric self-consistent field equations. The method does not require a priori sym-metric information. More significantly, periodic struc...
The Orbit Method for Finite Groups of Nilpotency Class Two of Odd Order
The Orbit Method Finite Groups Nilpotency Class
2010/10/29
First, I construct an isomorphism between the categories of (topological) groups of nilpotency class 2 with 2-divisible center and (topological) Lie rings of nilpotency class 2 with 2-divisible center...