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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...
Angle Deficit Approximation of Gaussian Curvature and Its Convergence over Quadrilateral meshes
Gaussian Curvature Quadrilateral Mesh Convergence
2012/8/7
We propose a discrete approximation of the Gaussian curvature over quadrilateral
meshes using a linear combination of two angle de痗its. Suppose a surface mesh is
obtained from a sampling of a smooth...
A New Fourth Order Difference Approximation for the Solution of Three-dimensional Non-linear Biharmonic Equations Using Coupled Approach
Three-Dimensional Non-Linear Biharmonic Equation Finite Differences Fourth Order Accuracy Compact Discretization Block-Block-Tridiagonal Tangential Derivatives Laplacian Stream Function Reynolds Number
2013/1/30
This paper deals with a new higher order compact difference scheme, which is, O(h4) using coupled approach on the 19-point 3D stencil for the solution of three dimensional nonlinear biharmonic equatio...
Convergence Analysis of Meshfree Approximation Schemes
Meshfree Approximation Schemes Numerical Analysis
2011/9/29
Abstract: This work is concerned with the formulation of a general framework for the analysis of meshfree approximation schemes and with the convergence analysis of the Local Maximum-Entropy (LME) sch...
On the approximation in the smoothed finite element method (SFEM)
Smoothed Finite ElementMethod boundary integration Wachspress Interpolants strain smoothing rational basis finite elements
2011/10/9
Abstract: This letter aims at resolving the issues raised in the recent short communication [1] and answered by [2] by proposing a systematic approximation scheme based on non-mapped shape functions, ...
A Haar-type Approximation and a New Numerical Schema for the Korteweg-de Vries Equation
KdV equation Haar wavelets potential fragmentation layer stripping Inverse Scattering Transform
2011/9/14
Abstract: We discuss a new numerical schema for solving the initial value problem for the Korteweg-de Vries equation for large times. Our approach is based upon the Inverse Scattering Transform that r...
Methods of Approximation in hpk Framework for ODEs in Time Resulting from Decoupling of Space and Time in IVPs
Finite Element Approximations Numerical Studies Time Approximation Variationally Consis- tent Integral Forms
2013/1/30
The present study considers mathematical classification of the time differential operators and then applies methods of approximation in time such as Galerkin method (GM ), Galerkin method with weak fo...
A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients
A posteriori estimator non positive definite diffusion problems
2010/12/8
We perform the a posteriori error analysis of residual type of a transmission problem with sign changing coefficients. According to [6] if the contrast is large enough, the continuous problem can be t...
Approximation properties determined by operator ideals
Approximation properties determined operator ideals
2010/12/7
Given an operator ideal I, a Banach space E has the I-approximation property if operators on E can be uniformly approximated on com-pact subsets of E by operators belonging to I. In this paper the I-a...
Approximation by certain linear operators preserving x2
Positive linear operator polynomial weighted space degree of approximation
2010/2/25
We investigate certain positive linear operators Ln preserving the functions ek (x)=xk, k=0, 1, and modified operators Ln* which preserve e0 and e2. We show that the error of approximation of f by Ln*...
The Journal of Approximation Theory is devoted to advances in pure and applied approximation theory and related areas.
Steklov eigenvalue problem of Helmholtz equation is considered in the
present paper. Steklov eigenvalue problem is reduced to a new
variational formula on the boundary of a given domain, in which th...
In the author's previous paper [13], a Galerkin/Least-Square type finite
element method was proposed and analyzed for the stationary N-S equations. The
method is consistent and stable for any combin...
A NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION WITH MOVING GRIDS FOR STOKES PROBLEM
Stokes problem Nonconforming finite element Anisotrop Moving grids Error estimate
2007/12/12
This paper is devoted to the five parameters nonconforming finite
element schemes with
moving grids for velocity-pressure mixed formulations of the nonstationary
Stokes problem in 2-D. We show that...
A spectral scheme is considered for solving the barotropic vorticity equation. The error estimates are proved strictly. The technique used in this paper is also useful for other nonlinear problems def...