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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Pandora Box Problem with Nonobligatory Inspection: Hardness and Approximation Scheme
潘多拉盒问题 非强制性检查 硬度 近似方案
2023/4/14
Weitzman (1979) introduced the Pandora Box problem as a model for sequential search with inspection costs, and gave an elegant index-based policy that attains provably optimal expected payoff. In vari...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A second order accurate, decoupled numerical scheme for magnetohydrodynamic equations
磁流体 动力学方程 二阶精确解 耦数值方案
2023/4/27
A temporally second-order accurate, fully discrete finite element method is proposed and analyzed for the magnetohydrodynamic (MHD) equations. A modified Crank-Nicolson method is used to discretize th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A diffusion scheme based on the foliation graph stripe for optimizing discrete harmonic foliation energy
叶子图条带 优化 离散谐波 叶能量 扩散方案
2023/4/28
Consumer expenditures in the United Kingdom account for over 50% of Gross Domestic Product on the expenditure side, yet their impact on economic activity is often Global geometric structures live on m...
A GENERALIZED QUOT SCHEME AND MEROMORPHIC VORTICES
Generalized Quot scheme meromorphic vortices moduli space Poincar′e polynomial
2015/12/17
Let X be a compact connected Riemann surface. Fix a positive integer r and two nonnegative integers dp and dz. Consider all pairs of the form (F , f), where F is a holomorphic vector bundle on X of ra...
Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions
step flow atomistic scheme epitaxial growth 1+1 dimensions
2015/10/16
The Burton-Cabrera-Frank (BCF) model for the flow of line defects (steps) on crystal surfaces has offered useful insights into nanostructure evolution. This model has rested on phenomenological ground...
A High–order Accurate Gas-kinetic Scheme for One-and Two-dimensional Flow Simulation
Gas-kinetic scheme initial reconstruction BGK model Boltzmann equation,
2014/9/26
This paper develops a high-order accurate gas-kinetic scheme in the frame-work of the finite volume method for the one- and two-dimensional flow simulations,
which is an extension of the third-order ...
A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics
Godunov-type scheme generalized Riemann problem Riemann problem
2014/9/26
The paper proposes and implements a third-order accurate direct Eulerian gen-eralized Riemann problem (GRP) scheme for one- and two-dimensional (1D & 2D)
Euler equations in gas dynamics. It is an ext...
A third-order accurate direct Eulerian GRP scheme for one-dimensional relativistic hydrodynamics
Godunov-type scheme WENO Generalized Riemann problem Riemann problem
2014/9/26
The paper analytically derives a third-order accurate direct Eulerian general-ized Riemann problem (GRP) scheme for one-dimensional special relativistic hydrody-namical equations. In our GRP scheme, t...
Strong Convergence of a New Three Step Iterative Scheme in Banach Spaces
Fixed Point Various Iterative Schemes Rate of Convergence
2013/1/30
In this paper, we suggest a new type of three step iterative scheme called the CR iterative scheme and study the strong convergence of this iterative scheme for a certain class of quasi-contractive op...
The Best Finite-Difference Scheme for the Helmholtz Equation
The Best Finite-Difference Scheme for the Helmholtz and Laplace’s Equations
2013/1/30
The best finite-difference scheme for the Helmholtz equation is suggested. A method of solving obtained finite-difference scheme is developed. The efficiency and accuracy of method were tested on seve...
A Local Computational Scheme for Higher Order Finite Element Eigenvalue Approximations
Eigenvalue 痭 ite element higher order local computation
2012/8/8
Based on some coupled discretizations, a local computational scheme is proposed
and analyzed in this paper for a class of higher order 痭ite element eigenvalue approximations. Its
e眂iency is proven b...
Error Anal Ysis of Some MultiI-Symplectic Scheme for Klein-Gordon-SchringerEquation
Error analysis conservation laws multi-symplectic scheme Klein-Gordon-Schr膐dinger equation.
2012/8/7
In this paper, we study the multi-symplectic method for the Klein-
Gordon-Schr膐dinger equation. Besides conserving the multi-symplectic structure of
the equation, the multi-symplectic method is also...
Stability of tautological bundles on the degree two Hilbert scheme of surfaces
moduli spaces irreducible holomorphic symplectic manifolds K3 surfaces
2012/3/1
Let (X,H) be a polarized smooth projective surface satisfying H^1(X,O_X)=0 and let F be either a rank one torsion-free sheaf or a rank two {\mu}H-stable vector bundle on X. Assume that c_1(F)/=0. In t...
An Efficient Rational Secret Sharing Scheme Based on the Chinese Remainder Theorem
rational cryptography computational strict Nash equilibrium stability with respect to trembles Asmuth-Bloom sharing scheme
2012/12/4
The design of rational cryptographic protocols is a recently created research area at the intersection of cryptography and game theory.At TCC’10, Fuchsbauer et al. introduced two equilibrium notions (...
A Fourth Order Improved Numerical Scheme for the Generalized Burgers—Huxley Equation
Burgers-Huxley Finite-Difference Method Modified Predictor-Corrector
2013/1/30
A fourth order finite-difference scheme in a two-time level recurrence relation is proposed for the numerical solution of the generalized Burgers--Huxley equation. The resulting nonlinear system, whic...