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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Numerical method for low-frequency electromagnetic fields and its applications
低频 电磁场数值 低频涡流场 有限元编程
2023/4/13
本报告首先回顾传统低频涡流场的两种计算格式，指出有限元编程实现过程中的基函数选择以及需要注意的难点问题。第二部分针对静磁场问题，通过引入规范条件提出了一种基于矢量磁位和磁场强度的新型的对偶格式，该方法通过巧妙构造基于矢量磁位和磁场强度的计算格式，整体矩阵完全一致并且可以给出系统电感参数的上下界，在实际参数提取中有很好的应用前景。在第三部分，由于传统低频涡流场近似不能有效考虑分布电容效应，而传统高频...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Splitting Numerical Schemes for Two-dimensional Maxwell-Debye Equations
二维 麦克斯韦-德拜方程组 拆分数值方案
2023/4/27
In this talk, we are interested in designing some efficient numerical methods for Maxwell-Debye equations in metamaterials with negative refractive index. Dimensional splitting method is used to reduc...
2017数值相对论与引力波物理春季学校（Spring School on Numerical Relativity and Gravitational Wave Physics）
2017 数值相对论与引力波物理 春季 学校
2017/4/25
To further motivate and promote the research of numerical relativity, gravitational wave physics and relevant fields in China, we are going to organize a spring school on numerical relativity and grav...
2017数学相对论与重力波物理学学校（Spring School on Numerical Relativity and Gravitational Wave Physics）
2017 数学相对论与重力波物理学 学校
2017/4/24
To further motivate and promote the research of numerical relativity, gravitational wave physics and relevant fields in China, we are going to organize a spring school on numerical relativity and grav...
Spring School on Numerical Relativity and Gravitational Wave Physics
Spring School Numerical Relativity and Gravitational Wave Physics
2017/3/28
To further motivate and promote the research of numerical relativity, gravitational wave physics and relevant fields in China, we are going to organize a spring school on numerical relativity and grav...
Physical vs. numerical dispersion in nonhydrostatic ocean modeling
Dispersion Nonhydrostatic effects Internal waves Ocean modeling Grid resolution requirements Leptic ratio Lepticity
2015/6/30
Many large-scale simulations of internal waves are computed with ocean models solving the primitive (hydrostatic) equations. Under certain circumstances, however, internal waves can represent a dynami...
Numerical study of the three-dimensional random-field Ising model at zero and positive temperature
Three-dimensional ising model zero temperature heat capacity critical point
2014/12/20
In this paper the three-dimensional random-field Ising model is studied at both zero temperature and positive temperature. Critical exponents are extracted at zero temperature by finite size scaling a...
Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian
Robin Laplacian Eigenvalues Optimisation
2012/4/18
We consider the problem of minimising the $n^{th}-$eigenvalue of the Robin Laplacian in $\mathbb{R}^{N}$. Although for $n=1,2$ and a positive boundary parameter $\alpha$ it is known that the minimiser...
Numerical simulations of the Ising model on the Union Jack lattice
Numerical simulations the Ising model the Union Jack lattice
2011/7/28
Abstract: In this paper we investigate anisotropic Union Jack lattice Ising model system in terms of the spontaneous magnetisation. Identification of disagreements in the theories published by Wu and ...
Numerical evidence against a conjecture on the cover time of planar graphs
Numerical evidence the cover times of planar graphs Statistical Mechanics
2011/7/28
Abstract: We investigate a conjecture on the cover times of planar graphs by means of large Monte Carlo simulations. The conjecture states that the cover time $\tau(G_{N})$ of a planar graph $G_{N}$ o...
Polarization effects in $\bar N+N\to π+\ell^++\ell^-$ reaction. General analysis and numerical estimations
$\bar N+N\to π+\ell^++\ell^-$ reaction General analysis numerical estimations
2011/1/6
A general formalism is developed to calculate the cross section and the polariza-tion observables for the reaction ¯N + N ! π + ℓ+ + ℓ−. The matrix element and the observables a...
Comparison of analytical and numerical methods and the effect of bath coupling on the quantum decoherence
comparison analytical and numerical methods quantum decoherence
2010/11/8
The dynamics of a qubit in a structured environment is investigated theoretically. One point of view of the model is the spin-boson model with a Lorentz shaped spectral density. An alternative view is...
Numerical treatment of long-range Coulomb potential with Berggren bases
Numerical treatment of long-range Coulomb potential Berggren bases
2011/1/7
The Schr¨odinger equation incorporating long-range Coulomb potential takes the form of a Fred-
holm equation whose kernel is singular on its diagonal when represented by a basis bearing a contin-uum ...
Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
Numerical approach to SUSY quantum mechanics gauge/gravity duality
2011/1/14
We demonstrate that Monte-Carlo simulation is a practical tool to study nonperturbative
aspects of supersymmetric quantum mechanics. As an example we study D0-brane quantum
mechanics in the context ...
Numerical study of the phase transitions in the two-dimensional Z(5) vector model
Numerical study phase transitions two-dimensional Z(5) vector model
2011/1/14
We investigate the critical properties of the two-dimensional Z(5) vector model.For this purpose, we propose a new cluster algorithm, valid for Z(N) models with odd values of N. The two-dimensional Z(...