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2018高性能计算的计算和数据密集型问题研讨会（Workshop on HPC for Computationally and Data-Intensive Problems）
2018 高性能计算的计算和数据密集型问题 研讨会
2017/12/20
Advances in machine learning, combinatorial optimization, and other types of mathematics, statistics, and computer science are increasingly being developed to address pressing problems in many discipl...
2017年特征值问题的理论，计算和应用研讨会（Eigenvalue Problems:Theory,Approximation and Applications）
2017年 特征值问题的理论，计算和应用 研讨会
2017/11/24
Eigenvalue problems arise in many scientific and engineering applications. They are also important in emerging areas such as big data analysis. For example, eigenvalues (or singular values) can be use...
Gibbs states and the set of solutions of random constraint satisfaction problems
Gibbs random constraints the solution
2015/8/21
Gibbs states and the set of solutions of random constraint satisfaction problems.
Numerical methods for H_2 related problems
Numerical convex programming quantity convex programming application
2015/8/12
Recent results have shown that several H_2 and H_2-related problems can be formulated as convex programs with a finite number of variables. We present an interior point algorithm for the solution of t...
Moving horizon estimation for staged QP problems
Moving horizon estimation quadratic programming the structure the kalman filter linear system numerical values
2015/8/7
This paper considers moving horizon estimation (MHE) approach to solution of staged quadratic programming (QP) problems. Using an insight into the constrained solution structure for the growing horizo...
Counting the World's Poor: Problems and Possible Solutions
Counting the World's Poor Problems Possible Solutions
2014/3/24
Counting the World's Poor: Problems and Possible Solutions。
Two Initial Value Problems Approach for Solving Singular Perturbations Problems
Singular Perturbation Initial Value Problems Asymptotic Power Series Expansions
2013/1/30
In this paper, we presented an initial value approach for solving singularly perturbed two point boundary value problems with the boundary layer at one end (left or right). By employing asymptotic pow...
A Spectral Method in Time for Initial-Value Problems
Initial-Value Problem WRM Time-Spectral Spectral Method Chebyshev Polynomial Fluid Mechanics MHD
2013/1/30
A time-spectral method for solution of initial value partial differential equations is outlined. Multivariate Chebyshev series are used to represent all temporal, spatial and physical parameter domain...
An Efficient High Order Heterogeneous Multiscale Method For Elliptic Problems
Heterogeneous multiscale method H-convergence Least-squares
2012/8/10
We propose an efficient heterogeneous multiscale finite element
method based on a local least-squares reconstruction of the effective matrix
using the data retrieved from the solution of cell proble...
Boundary Value Problems for Differential Equations of Fractional Order
Boundary Value Problems Fractional Order
2012/8/10
We carry out spectral analysis of one class of integral op-
erators associated with fractional order differential equations that arise in
mechanics. We establish a connection between the eigenvalues...
Solving Two-Point Boundary Value Problems of Fractional Differential Equations by Spline Collocation Methods
Caputo抯 derivatives Collocation methods Cubic spline functions Riemann-Liouvillefractional derivative
2012/8/10
We use collocation methods to solve fractional boundary value problems. Analytically, we study the
existence and uniquenes theorem of the collocation solutions, and discuss some error estimates. We
...
Solving Two-Point Boundary Value Problems of Fractional Differential Equations
Caputo抯 derivatives Riemann-Liouville Derivatives Fractional differential equation Twopointboundary value problem Existence and uniqueness Single shooting method
2012/8/8
We solve four kinds of two-point boundary value problems of fractional differential equations with
Caputo抯 derivatives or Riemann-Liouville Derivatives. Analytically, we introduce the fractional Gree...
Inexact Solvers for Saddle-point System Arising from Domain Decomposition of Linear Elasticity Problems in Three Dimensions
Domain decompostion geometrically non-conforming Lagrange multiplier saddle-point system preconditioners conditionnumber
2012/8/8
In this paper, a domain decomposition method with lagrange mul-
tipliers based on geometrically non-conforming subdomain partitions
for three dimensional linear elasticity is considered. Because of ...
Nonoverlapping Domain Decomposition Methods with Simplified Coarse Spaces for Solving Three-dimensional Elliptic Problems
domain decomposition coarse subspace substructuring preconditioner inexact solver condition number
2012/8/8
In this paper we propose a substructuring preconditioner for solving three-dimensional
elliptic equations with strongly discontinuous coe±cients. The new preconditioner
can be viewed as a variant of...
Cascadic Multigrid Methods For Parabolic Problems
Cascadic multigrid method parabolic problem element methods backwardEuler scheme smoother stability optimal error order optimal complexity
2012/8/8
In this paper, we consider the cascadic multigrid method for a parabolic type equa-
tion. Backward Euler approximation in time and linear 痭ite element approximation in space are
employed. A stabilit...