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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convergence of the Planewave Approximations for Incommensurate Systems
不可测系统 平面波逼近 收敛性
2023/12/11
Incommensurate structures come from stacking the single layers of low-dimensional materials on top of one another with misalignment such as a twist in orientation. While these structures are of signif...
The Hausdorff distance between a compact convex set K CRd and random sets
K c lRd iS studied. Basic inequalities are derived for the case of K being a convex
subset of K. If applied to special seq...
SPARSIFYING PRECONDITIONER FOR PSEUDOSPECTRAL APPROXIMATIONS OF INDEFINITE SYSTEMS ON PERIODIC STRUCTURES
Helmholtz equation Schrodinger equation preconditioner pseudospectral approximation indefinite matrix periodic structure sparse linear algebra
2015/7/14
This paper introduces the sparsifying preconditioner for the pseudospectral approximation of highly indefinite systems on periodic structures, which include the frequency-domain response problems of t...
Spatial Evolutionary Game Theory: Deterministic Approximations, Decompositions, and Hierarchical Multi-scale Models
Evolutionary games Hierarchical Multi-scale models
2014/12/8
Evolutionary game theory has recently emerged as a key paradigm in various behavioral science disciplines. In particular it provides powerful tools and a conceptual framework for the analysis of the t...
Application for Superconvergence of Finite Element Approximations for the Elliptic Problem by Global and Local L2-Projection Methods
Finite Element Methods Superconvergence L2-Projection Elliptic Problem
2013/1/30
Numerical experiments are given to verify the theoretical results for superconvergence of the elliptic problem by global and local L2-Projection methods.
Numerical Approximations of A Nonlinear Eigenvalue Problem and Applications to A Density Functional Model
Eigenvalue Galerkin discretization nonlinear numerical approximation density func- tional orbital-free
2012/8/10
In this paper, we study numerical approximations of a nonlinear eigenvalue problem and consider
applications to a density functional model. We prove the convergence of numerical approximations.
In p...
Consistent Approximations of Some Geometric Differential Operators and Their Convergences
Geometric Di erential Operators Consistent discretized approximations TriangularKey words:Surface Mesh Error Analysis
2012/8/8
The numerical integration of many geometric partial di erential equations involves
discrete approximations of several first- and second-order geometric di erential operators.
In this paper, we consi...
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...
Consistent Approximations of Some Geometric Differential Operators
Geometric Di甧rential Operators Consistent discretized approxima-tions Triangular Surface Mesh Error Analysis.
2012/8/8
The numerical integration of many geometric partial di甧rential equations in-
volve discrete approximations of some di甧rential geometric operators. In this
paper, we consider consistent discretized a...
One Approach to Construction of Bilateral Approximations Methods for Solution of Nonlinear Eigenvalue Problems
Nonlinear Eigenvalue Problem Derivatives of Matrix Determinant Numerical Algorithm of Alternate Approximations
2013/1/30
In this paper a new approach to construction of iterative methods of bilateral approximations of eigenvalue is proposed and investigated. The conditions on initial approximation, which ensure the conv...
Non-consistent approximations of self-adjoint eigenproblems: Application to the supercell method
Non-consistent approximations self-adjoint eigenproblems Functional Analysis
2012/5/24
In this article, we introduce a general theoretical framework to analyze non-consistent approximations of the discrete eigenmodes of a self-adjoint operator. We focus in particular on the discrete eig...
Approximations of convex bodies by polytopes and by projections of spectrahedra
convex body spectrahedron approximation computational complex-ity semidefinite programming
2012/4/18
We prove that for any compact set B in R^d and for any epsilon >0 there is a finite subset X of B of |X|=d^{O(1/epsilon^2)} points such that the maximum absolute value of any linear function ell: R^d ...
Uniform convergence analysis of an upwind finite difference approximations of an homogenous singularly perturbed boundary value problem using grid equidistribution
singular perturbation adaptive grid rate of convergence error estimate
2011/10/13
We derive varepsilon-uniform error estimates for two first-order upwind discretizations of a model inhomogeneous, second-order, singularly perturbed boundary value problem on a non-uniform grid. Here,...
Singular Perturbation Approximations for a Class of Linear Quantum Systems
Singular Perturbation Approximations Linear Quantum Systems Optimization and Control
2011/10/10
Abstract: This paper considers the use of singular perturbation approximations for a class of linear quantum systems arising in the area of linear quantum optics. The paper presents results on the phy...
On polyhedral approximations of polytopes for learning Bayes nets
polyhedral approximations of polytopes Statistics Theory Bayes nets
2011/9/19
Abstract: We review three vector encodings of Bayesian network structures. The first one has recently been applied by Jaakkola 2010, the other two use special integral vectors formerly introduced, cal...