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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
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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...
Towards applications of graded Paraparticle algebras
Relative Paraparticle algebras general linear superalgebra multiple-level system
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2012/6/19
An outline is sketched, of applications of the ideas and the mathematical methods presented at the 19th symposium of the Hellenic Nuclear Physics Society (HNPS) in Thessaloniki, May 2010.
Complex-Dynamical Solution to Many-Body Interaction Problem and Its Applications in Fundamental Physics
Complex-Dynamical Solution Many-Body Interaction Problem Fundamental Physics quantum mechanics
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2012/4/27
We review the recently proposed unreduced, complex-dynamical solution to many-body problem with arbitrary interaction and its application to unified solution of fundamental problems, including foundat...
Complex-Dynamical Solution to Many-Body Interaction Problem and Its Applications in Fundamental Physics
Complex-Dynamical Solution Many-Body Interaction Problem Fundamental Physics General Physics
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2012/4/25
We review the recently proposed unreduced, complex-dynamical solution to many-body problem with arbitrary interaction and its application to unified solution of fundamental problems, including foundat...
Exact polynomial solutions of second order differential equations and their applications
Polynomial solutions Bethe ansatz Quasi-exactly solvable systems
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2011/9/21
Abstract: We find all polynomials $Z(z)$ such that the differential equation $${X(z)\frac{d^2}{dz^2}+Y(z)\frac{d}{dz}+Z(z)}S(z)=0,$$ where $X(z), Y(z), Z(z)$ are polynomials of degree at most 4, 3, 2 ...
Probing Tissue Multifractality Using Wavelet based Multifractal Detrended Fluctuation Analysis: Applications in Precancer Detection
Fractal Multifractal detrended fluctuation analysis Phase contrast imaging Refractive index Cancer diagnosis
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2011/8/4
Abstract: The refractive index fluctuations in the connective tissue layer (stroma) of human cervical tissues having different grades of precancers (dysplasia) was quantified using a wavelet-based mul...
Magic-zero wavelengths of alkali-metal atoms and their applications
Magic-zero wavelengths alkali-metal atoms application Quantum Gases
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2011/8/4
Abstract: Using first-principles calculations, we identify "magic-zero" optical wavelengths, \lambda_zero, for which the ground-state frequency-dependent polarizabilities of alkali-metal atoms vanish....
Locally Homogeneous Spaces, Induced Killing Vector Fields and Applications to Bianchi Prototypes
locally homogeneous spaces Killing equations & vector fields isometric embedding moving frames
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2011/7/28
Abstract: An answer to the question: Can, in general, the adoption of a given symmetry induce a further symmetry, which might be hidden at a first level? has been attempted in the context of different...
Lorentzian varifolds and applications to closed relativistic strings
Lorentzian varifold closed relativistic strings General Relativity and Quantum Cosmology
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2011/7/26
Abstract: We develop a suitable generalization of Almgrens theory of varifolds in a lorentzian setting, focusing on area, first variation, rectifiability, compactness and closure issues. Motivated by ...
Applications of local fractional calculus to engineering in fractal time-space: Local fractional differential equations with local fractional derivative
local fractional calculus fractal time-space local fractional derivative local fractional differential equation
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2011/7/26
Abstract: This paper presents a better approach to model an engineering problem in fractal-time space based on local fractional calculus. Some examples are given to elucidate to establish governing eq...
Fractional Trigonometric Functions in Complex-valued Space: Applications of Complex Number to Local Fractional Calculus of Complex Function
Fractional trigonometric function complex function local fractional calculus fractal space
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2011/7/26
Abstract: This paper presents the fractional trigonometric functions in complex-valued space and proposes a short outline of local fractional calculus of complex function in fractal spaces.
Applications of Classical Scaling Symmetry
Classical Scaling Symmetry Solar and Stellar Astrophysics Exactly Solvable and Integrable Systems
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2011/7/25
Abstract: Any symmetry reduces a second-order differential equation to a first-order equation: variational symmetries of the action (exemplified by central field dynamics) lead to conservation laws, b...
Fuzzy Geometry via the Spinor Bundle, with Applications to Holographic Space-time and Matrix Theory
Fuzzy Geometry the Spinor Bundle Holographic Space-time Matrix Theory
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2011/7/27
Abstract: We present a new framework for defining fuzzy approximations to geometry in terms of a cutoff on the spectrum of the Dirac operator, and a generalization of it that we call the Dirac-Flux op...
A Blaschke-type condition for analytic functions on finitely connected domains. Applications to complex perturbations of a finite-band selfadjoint operator
Blaschke-type estimates Lieb Thirring type inequalities finite-band selfadjoint operators complex compact perturbation
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2011/7/27
Abstract: This is a sequel of a recent article by Borichev-Golinskii-Kupin, where the authors obtain Blaschke-type conditions for special classes of analytic functions in the unit disk which satisfy c...
Stochastic sigma-convergence and applications
Dynamical system homogenization supralgebras Stokes equations
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2011/7/27
Abstract: Motivated by the fact that in nature almost all phenomena behave randomly in some scales and deterministically in some other scales, we build up a framework suitable to tackle both determini...