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增广拉格朗日方法可以近似求解最小约束违背凸优化问题
拉格朗日方法 近似求解 最小约束 违背凸优化问题
2022/7/11
α阶右侧Caputo分数阶导数的高阶插值逼近
Caputo分数阶导数 L2-1插值 L2插值 收敛阶
2021/7/28
对α阶(1<α<2)右侧Caputo分数阶导数引入新变量以降低函数阶数,采用L2-1插值方法,得到了高阶插值格式。为了进一步改善L2-1方法在区间[tN-1,b]上由L1插值带来的非一致O(Δt4-α)阶精度,增加约束条件,使整体区间均利用L2插值得到一致的O(Δt4-α)精度的高阶插值格式,并分别证明了二者的截断误差。
带多项式相位的高维振荡积分算子的有界性
振荡积分算子 有界性 Lp(Rn)
2018/1/15
考虑如下的振荡积分算子:
中函数f为定义在Rn上的Schwartz函数,并且满足m,k>0.本文给出算子Tm,k,n从Lp(Rn)(1 ≤ p < ∞)到Lq(Rn)有界的一个充分必要条件.此外,我们还证明了算子Tm,k,n把L1(Rn)映到l0(Rn).
关于Györy-Sárközy-Stewart猜想
最大素因子 Gyö ry-Sá rkö zy-Stewart猜想
2016/7/20
本文在一定条件下证明了, 当$a,~b,~c$ 均为正整数, 并且$a\geq b>c$ 时, 乘积$(ab+1)(ac+1)(bc+1)$ 的最大素因子大于$k\log\log a$,其中$k$ 为一个正常数. 特别地, 当$c
The Embedded Boundary Integral Method (EBI) for the Incompressible Navier-Stokes equations
Embedded Boundary Integral Method (EBI) Incompressible Navier Stokes equations
2015/7/15
We present a new method for the solution of the unsteady incompressible Navier-Stokes equations. Our goal is to achieve a robust and scalable methodology for two and three dimensional incompressible f...
THE GROMOV-WITTEN POTENTIAL OF A POINT, HURWITZ NUMBERS, AND HODGE INTEGRALS
Hurwitz numbers Gromov-Witten potential moduli space
2015/7/14
It is the Deligne-Mumford compactication of the moduli space Mg;n of smooth
n-pointed genus g curves. It has n natural line bundles Li (roughly, the cotangent
space to the ith marked point) and a n...
HODGE INTEGRALS AND HURWITZ NUMBERS VIA VIRTUAL LOCALIZATION
HODGE INTEGRALS HURWITZ NUMBERS
2015/7/14
We give another proof of Ekedahl, Lando, Shapiro, and Vainshtein's remarkable formula expressing Hurwitz numbers (counting covers of
P1 with specied simple branch points, and specied branching over...
THE INTEGRAL K-THEORETIC NOVIKOV CONJECTURE FOR GROUPS WITH FINITE ASYMPTOTIC DIMENSION
K-THEORETIC integral
2015/7/7
The goal of this paper is to apply the techniques developed by the first author
in [3] to verify the integral Novikov conjecture for groups with finite asymptotic
dimension as defi...
INTEGRAL IDENTITIES AND MINKOWSKI TYPE INEQUALITIES INVOLVING SCHOUTEN TENSOR
INTEGRAL IDENTITIES MINKOWSKI TYPE INEQUALITIES INVOLVING SCHOUTEN TENSOR
2014/4/3
New formulas for the integration of the k-th elementary symmetric functions of the Shouten tensor are derived and applied to deduce some
Minkowski type inequalities.
Integrability of the Pentagram Map
Integrability Pentagram Map R. Schwartz convex planar polygons
2011/6/20
The pentagram map was introduced by R. Schwartz in 1992 for convex planar polygons. Recently, V. Ovsienko, R. Schwartz, and S. Tabachnikov proved Liouville integrability of the pentagram map for gener...
拟常全纯截面曲率空间中的全实极小子流形
拟常全纯截面曲率空间 全实极小子流形 积分不等式 全测地
2011/3/26
用活动标架法研究拟常全纯截面曲率空间中的全实极小子流形, 得到了关于第二基本形式模长‖B‖的Smions型积分不等式。
Upper bounds for the number of zeroes for some Abelian integrals
Abelian integrals Weak 16th Hilbert’s Problem limit cycles
2010/12/31
Consider the vector field x′ = −yG(x, y), y′ = xG(x, y), where the set of critical points {G(x, y) = 0} is formed by K straight lines, not passing through the origin and parallel to one or two o...