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第一届冬季数学高级研讨会（First Winter Workshop on Advanced Topics in Mathematics:Commutative Algebra and Banach Space Theory）
第一届 冬季数学 高级研讨会
2017/12/20
This four-day workshop is devoted to discuss advanced topics from commutative algebra and Banach space theory. The theme of this workshop is twofold: parallel series of lectures will be delivered in c...
世界华人数学家联盟首届年会（The first annual meeting of International Consortium of Chinese Mathematicians）
世界华人数学家联盟 首届 年会
2017/11/24
The first annual meeting of International Consortium of Chinese Mathematicians (ICCM) will be held from December 27th to December 29th, 2017 at Sun Yat-Sen University (SYSU), Guangzhou. This session o...
Generalized Iteration Method for First-Kind Integral Equations
Generalized Iteration Method First-Kind Integral Equations
2015/10/16
An iteration method is described to solve one-dimensional, first-kind integral equations with finite integration limits and difference kernel, K(x − x), that decays exponentially. The method re...
HOW TO MAKE THE MOST OF A SHARED MEAL: PLAN THE LAST BITE FIRST
SHARED MEAL: PLAN LAST BITE FIRST
2015/8/14
If you are sharing a meal with a companion, how best to make sure you get your favourite fork-fulls? Ethiopian Dinner is a game in which two players take turns eating morsels from a common plate. Each...
Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions
Second kind integral equation Dirichlet problem Biharmonic equation
2015/7/14
A Fredholm second kind integral equation (SKIE) formulation is constructed for the Dirichlet problem of the biharmonic equation in three dimensions. A fast numerical algorithm is developed based on th...
Asymptotics of the Fredholm determinant corresponding to the first bulk critical universality class in random matrix models
Integrable operators Riemann-Hilbert approach Deift-Zhou method asymptotical analysis of Fredholm determinants
2015/1/19
We study the one-parameter family of determinants $det(I-\gamma K_{PII}),\gamma\in\mathbb{R}$ of an integrable Fredholm operator $K_{PII}$ acting on the interval $(-s,s)$ whose kernel is constructed o...
Implementation of 2-point 2-step methods for the solution of first order ODEs
Block methods Ordinary Differential Equation
2010/9/20
In this paper the 2 point 2 step methods (2PG, M2PG, M2PF) for solving system of first order ordinary differential equations are proposed. These methods at each step will approximate the solutions of ...
The expansions approach for solving Cauchy integral equation of the first kind
Cauchy integral equation Chebyshev polynomials
2010/9/27
In this paper we expand the kernel of Cauchy integral equation of first kind as a series of Chebyshev polynomials of the second kind times some unknown functions. These unknown functions are determine...
Charged polymers in the attractive regime: a first order transition from Brownian scaling to four points localization
Charged polymers attractive regime Brownian scaling four points localization
2010/11/11
We study a quenched charged-polymer model, introduced by Garel and Orland in 1988, that reproduces the folding/unfolding transition of biopolymers. We prove that, below the critical inverse temperatu...
On the asymptotic expansion of the sum of the first n primes
asymptotic expansion sum the first n primes
2010/11/12
An asymptotic formula for the sum of the first n primes is derived. This result improves the previous results of P. Dusart. Using this asymptotic expansion, we prove the conjectures of R. Mandl and G...
A* Orthogonal Matching Pursuit: Best-First Search for Compressed Sensing Signal Recovery
compressed sensing best-first search A* search matching pursuit sparse representations sparse signal
2010/11/29
Compressed sensing is a recently developing area which is interested in reconstruction of sparse signals acquired in reduced dimensions. Acquiring the data with a small number of samples makes the rec...
The oscillation of linear first order differential systems
oscillatory differential system linear differential system
2009/2/9
Some sufficient conditions are established for the oscillation of first order linear
differential systems whose coefficients obey certain conditions. An example is
given to illustrate the results....
The oscillation of linear first order differential systems
oscillatory differential system linear differential system
2009/1/12
Some sufficient conditions are established for the oscillation of first order linear
differential systems whose coefficients obey certain conditions. An example is
given to illustrate the results.
Exact solutions for systems of Volterra integral equations of the first kind by homotopy perturbation method
Systems of Volterra integral equations Homotopy perturbation method
2010/9/14
In this article, the homotopy perturbation method is proposed to solve systems of Volterra integral equations of the first kind. Theoretical proposes are presented briefly, so that this paper can be r...
Chemical Master versus Chemical Langevin for First-Order Reaction Networks
Birth-and-death process Chemical Master Equation chemical ki-netics correlation matrix Euler{Maruyama gene regulation network Gillespie Ito Lemma stochastic simulation algorithm
2008/11/10
Markov jump processes are widely used to model interacting species in circumstances where discreteness and stochasticity are relevant. Such mod- els have been particularly successful in computational ...