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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...
Fermi-polaron problem: Diagrammatic Monte Carlo method for divergent sign-alternating series
Diagram to monte carlo method Fermi gas particle condensed matter
2014/12/20
We use the diagrammatic Monte Carlo approach to solve the problem of a single spin-down fermion resonantly interacting with a Fermi gas of spin-up particles. Our solution is important for understandin...
A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations
Shallow water equations Nozzle flow equations Discontinuous topography well-balanced scheme surface gradient method Shock capturing
2012/8/8
A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations 。
An Adaptive Finite Element Method for the H-Ψ Formulation of Time-Dependent Eddy Current Problems
Maxwell’s equations eddy current problem adaptive finite element method multiply
2012/8/7
In this paper, we develop an adaptive finite element method based on reliable
and efficient a posteriori error estimates for the H − formulation of eddy current problems with
multiply connec...
Ghost Force Influence of A Qusicontinuum Method in Two Dimension
Ghost Force Influence A Qusicontinuum Method Two Dimension
2012/8/7
The error caused by the ghost force is studied for a quasicontinuum method with planar interface in two dimension. For a special case, we derive an analytical expression of the error, which is exploit...
A Second Order Finite Difference-Spectral Method for Space Fractional Diffusion Equation
A Second Order Finite Difference-Spectral Method Space Fractional Diffusion Equation
2012/8/7
A high order finite difference-spectral method is derived for solving space fractional diffusion equations, by combining the second order finite difference method in time and the spectral Galerkin met...
A Direct Sampling Method for Inverse Scattering Using Far-Field Data
Direct Sampling Method Inverse Scattering Using Far-Field Data Mathematical Physics
2012/6/21
This work is concerned with a direct sampling method (DSM) for inverse acoustic scattering problems using far-field data. The method characterizes some unknown obstacles, inhomogeneous media or cracks...
Analytical approximation for Landau's constants by using BPES method
Landau constants Approximation theory Complex analysis Boubaker Polynomials Expansion Scheme
2012/6/15
In this study, approximation formulas for evaluating Landau constants are elaborated by using the Boubaker Polynomials Expansion Scheme (BPES). Results are compared to some referred studies.
A Bloch decomposition based split-step pseudo spectral method for quantum dynamics with periodic potentials
Schrodinger equation Bloch decomposition time-splitting spectral method semiclassical asymptotics lattice potential
2012/5/24
We present a new numerical method for accurate computations of solutions to (linear) one dimensional Schr\"odinger equations with periodic potentials. This is a prominent model in solid state physics ...
On Stochastic Error and Computational Efficiency of the Markov Chains Monte Carlo Method
Monte Carlo simulation phase coexistence Gibbs ensemble molecular simulation multi-component system
2012/4/24
In Monte Carlo simulations, the thermal equilibria quantities are estimated by ensemble average over a sample set containing a large number of correlated samples. As the stochastic error of the simula...
Method of oscillation and spectral problem for four-order differential operator with self-similar weight
Method of oscillation spectral problem self-similar weight
2011/9/20
Abstract: Self-adjoint boundary problems for the equation $y^{(4)}-\lambda\rho y=0$ with generalized derivative $\rho\in W_2^{-1}[0,1]$ of self-similar Cantor type function as a weight are considered....
A method for filling gaps in solar irradiance and in solar proxy data
filling gaps solar irradiance solar proxy data
2011/8/17
Abstract: Data gaps are ubiquitous in spectral irradiance data, and yet, little effort has been put into finding robust methods for filling them. We introduce a data-adaptive and nonparametric method ...
An efficient method to calculate excitation energy transfer in light harvesting systems. Application to the FMO complex
calculate excitation light harvesting systems
2011/9/15
A master equation, derived from the non-Markovian quantum state diffusion (NMQSD), is used to calculate excitation energy transfer in the photosynthetic Fenna-Matthews-Olson (FMO) pigmentprotein compl...
Expression of generalized Newton iteration method via generalized local fractional Taylor series
Newton iteration method generalized local fractional Taylor series local fractional derivative real line number
2011/7/26
Abstract: In this paper, a generalized Newton iteration method derived from the generalized local fractional Taylor series with the local fractional derivatives is reviewed. Operators on real line num...
New method of solving of boundary problems in kinetic theory
the Kramers problem reflection diffusion boundary conditions the Neumann series
2011/7/25
Abstract: The classical Kramers problem with specular -- diffuse boundary conditions of the kinetic theory is considered. On an example of Kramers problem the new method of the decision of the boundar...