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非自共轭椭圆特征值问题有限元插值校正
非自共轭椭圆特征值问题 有限元法 插值校 广义Rayleigh商
2012/8/2
本文研究非自共轭椭圆特征值问题有限元插值校正方案.基于插值校正和广义Rayleigh商加速技巧, 用三角形线性元二次插值、双二次元双四次插值得到了较好的结果,并用三线性元的三二次插值将插值校正推广到三维.
Optimal interpolation formulas in the periodic function space of S.L. Sobolev
lattice optimal interpolation formula error functional optimal coefficients S.L. Sobolev
2011/1/19
In this paper the problem of construction of lattice optimal interpolation formulas in the
space ]L(m) 2 (0, 1) is considered.
Continuity of Extremal Transitions and Flops for Calabi-Yau Manifolds
Continuity of Extremal Transitions Flops Calabi-Yau Manifolds
2011/1/21
In this paper, we study the behavior of Ricci-flat K¨ahler metrics on Calabi-Yau manifolds under algebraic geometric surgeries: extremal transitions or flops. We prove a version of Candelas and de la ...
Nudelman interpolation, parametrizations of lossless functions and balanced realizations
Parametrization Inner matrices Interpolation algorithms
2011/2/21
We investigate the parametrization issue for discrete-time stable allpass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition.
Fast conservative and entropic numerical methods for the Boson Boltzmann equation
Boson Boltzmann equation condensation quadrature formulas fast algorithms
2010/12/6
In this paper we derive accurate numerical methods for the quantum Boltzmann equation for a gas of interacting bosons. The schemes preserve the main physical features of the continuous problem, namely...
Nevanlinna-Pick interpolation on distinguished varieties in the bidisk
Nevanlinna-Pick interpolation distinguished varieties bidisk
2010/12/9
We consider Nevanlinna-Pick interpolation in the setting of a special class of algebraic curves called distinguished varieties.An interpolation theorem, along with additional operator
theoretic resul...
Convergence order of a numerical scheme for sweeping process
Differential inclusions Subdifferential calculus Numerical analysis Predictioncorrection
2010/12/6
In this paper, we show that the convergence order of the numerical scheme introduced in [12] for sweeping processes is equal to one. The considered differential inclusions involve a set-valued map, gi...
Radial symmetry and symmetry breaking for some interpolation inequalities
Sobolev spaces interpolation Hardy-Sobolev inequality
2010/12/3
We analyze the radial symmetry of extremals for a class of interpolation inequalities known as Caffarelli-Kohn-Nirenberg inequalities, and for a class of weighted logarithmic Hardy inequalities which ...
Multivariate polynomial interpolation and sampling in Paley-Wiener spaces
Multivariate polynomial interpolation sampling Paley-Wiener spaces
2010/12/3
In this paper, an equivalence between existence of particular exponential Riesz bases
for multivariate bandlimited functions and existence of certain polynomial interpolants for these bandlimited fun...
Let dμ be a probability measure on the unit circle and d be the measure formed by adding a pure point to dμ. We give a formula for the Verblunsky coefficients of d, based on a result
of Simon.
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...
On the interpolation of discontinuous functions
Interpolation Discontinuous Functions Statistical Convergence Lerch
2010/12/7
Given a sequence of real numbers, we consider its subsequences con-verging to possibly different limits and associate to each of them an index of convergence which depends on the density of the associ...
B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness
Linear sampling algorithm Quasi-interpolant Quasi-interpolant representation
2010/12/10
Let = {xj}n j =1 be a grid of n points in the d-cube Id := [0, 1]d, and = {'j}n j=1 a family of n functions on Id. We define the linear sampling algorithm Ln(, , ·) for an approximate recovery o...
A Vanishing Theorem and Asymptotic Regularity of Powers of Ideal Sheaves
Regularity powers of ideals vanishing theorem.
2010/11/29
Let I be an ideal sheaf on Pn. In the first part of this paper, we bound the asymptotic regularity of powers of I as ps − 3 regIp ps + e,where e is a constant and s is the s-invariant of I. ...