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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Numerical PDEs for Fluid-Structure Interaction (FSI) Problems
流固耦合 数值 偏微分方程
2023/5/8
The interaction of a flexible structure with a flowing fluid in which it is submersed or by which it is surrounded gives rise to a rich variety of physical phenomena with applications in many fields o...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A structure-preserving parametric finite element method (PFEM) for geometric PDEs and applications
几何偏微分方程 结构保持 参数有限元
2023/4/17
In this talk, I begin with a review of different geometric flows (PDEs) including mean curvature (curve shortening) flow,surface diffusion flow, Willmore flow, etc., which arise from materials science...
中山大学岭南学院高级计量经济学课件（II：Panel Data）CH3 Covariance Structure and Robust Covariance Estimation
中山大学岭南学院 高级计量经济学 课件（II：Panel Data） CH3 Covariance Structure and Robust Covariance Estimation
2017/6/14
中山大学岭南学院高级计量经济学课件（II：Panel Data）CH3 Covariance Structure and Robust Covariance Estimation。
中山大学岭南学院高级计量经济学课件（I）CH2 Inference and Test of Structure Change
中山大学岭南学院 高级计量经济学 课件（I） CH2 Inference and Test of Structure Change
2017/6/14
中山大学岭南学院高级计量经济学课件（I）CH2 Inference and Test of Structure Change。
This paper discusses the correlation structure between London Interbank Offered Rates (LIBOR) by using copula function. We start from one simplified model of Brace, Gatarek & Musiela (1997) and find o...
New mathematical method reveals structure in neural activity in the brain
New mathematical method neural activity the brain
2015/11/12
A newly-developed mathematical method can detect geometric structure in neural activity in the brain. "Previously, in order to understand this structure, scientists needed to relate neural activity to...
THE LOCUS OF HODGE CLASSES IN AN ADMISSIBLE VARIATION OF MIXED HODGE STRUCTURE
ADMISSIBLE VARIATION HODGE CLASSES
2015/9/29
We generalize the theorem of E. Cattani, P. Deligne, and A. Kaplan to admissible variations of mixed Hodge structure.
The elementary diagram of a trivial, weakly minimal structure is near model complete
elementary diagram model complete
2015/9/28
We prove that if M is any model of a trivial, weakly minimal theory,
then the elementary diagram T(M) eliminates quantifiers down
to Boolean combinations of certain existential formulas.
STRUCTURE OF THE MALVENUTO-REUTENAUER HOPF ALGEBRA OF PERMUTATIONS
Hopf algebra symmetric group weak order quasi-symmetric function
2015/8/14
We analyze the structure of theMalvenuto-Reutenauer Hopf algebraSSym
of permutations in detail. We give explicit formulas for its antipode, prove that it is
a cofree coalgebra, determine its primiti...
STRUCTURE OF THE LODAY-RONCO HOPF ALGEBRA OF TREES
Hopf algebra planar binary tree permutation weak order
2015/8/14
Loday and Ronco defined an interesting Hopf algebra structure on the linear
span of the set of planar binary trees. They showed that the inclusion of the Hopf algebra
of non-commutative symmetric fu...
The Abelian sandpile process evolves configurations of chips on the integer lattice by toppling any vertex with at least 4 chips, distributing one of its chips to each of its 4 neighbors. When begun f...
THE APOLLONIAN STRUCTURE OF INTEGER SUPERHARMONIC MATRICES
APOLLONIAN STRUCTURE INTEGER SUPERHARMONIC MATRICES
2015/8/14
We prove that the set of quadratic growths attainable by integervalued superharmonic functions on the lattice Z2 has the structure of an Apollonian circle packing. This completely characterizes the PD...
FAST ALGORITHM FOR EXTRACTING THE DIAGONAL OF THE INVERSE MATRIX WITH APPLICATION TO THE ELECTRONIC STRUCTURE ANALYSIS OF METALLIC SYSTEMS
Diagonal extraction hierarchical Schur complement electronic structure calculation
2015/7/14
We propose an algorithm for extracting the diagonal of the inverse matrices arising from electronic structure calculation. The proposed algorithm uses a hierarchical decomposition ofthe computational ...
A FAST PARALLEL ALGORITHM FOR SELECTED INVERSION OF STRUCTURED SPARSE MATRICES WITH APPLICATION TO 2D ELECTRONIC STRUCTURE CALCULATIONS
selected inversion parallel algorithm electronic structure calculation
2015/7/14
An efficient parallel algorithm is presented for computing selected components of A−1 where A is a structured symmetric sparse matrix. Calculations of this type are useful for several applicatio...
POLE EXPANSION FOR SOLVING A TYPE OF PARAMETRIZED LINEAR SYSTEMS IN ELECTRONIC STRUCTURE CALCULATIONS
Pole expansion approximation theory parametrized linear systems electronic structure calculation
2015/7/14
We present a new method for solving parametrized linear systems. Under certain assumptions on the parametrization, solutions to the linear systems for all parameters can be accurately approximated by ...