supported by the National Key Basic Research Program of China(Grant No.2012CB921704);the National Natural Science Foundation of China(Grant No.11374362);the Fundamental Research Funds for the Central Universities,China;the Research Funds of Renmin University of China(Grant No.15XNLQ03)
The spin-boson model with quadratic coupling is studied using the bosonic numerical renormalization group method.We focus on the dynamical auto-correlation functions CO(ω), with the operator taken as σx, σz, and ...
supported by the National Natural Science Foundation of China(No.11101131);the National Basic Research Program of China(No.2013CB834203)
Let n = me and p be an odd prime. Let Fp be a finite field and Fpn be its nth field extension. By some polynomial GCD computatlons, this paper characterize the hentness and semi-bentness of two classes of p-ary quadra...
supported by a National Key Basic Research Project of China under Grant No.2011CB302400;the National Natural Science Foundation of China under Grant No.60821002
In this paper, two new interpolation algorithms lot CNC machining along curve^l tom pathes are proposed: a time-optimal interpolation algorithm under chord error, feedrate, and tangential acceleration bounds, and a g...
the National Public Research Institutes for Basic Research and Development Operating Expenses Special Project (Nos.CKSF2010014/SL,YWF0905,CKSF2010011 and CKSF2012008/SL);the National Basic Research Program (973) of China(No.2007CB714106)
In the framework of finite volume method(FVM),two modified schemes of quadratic upstream interpolation for convective kinematics(QUICK),namely quasi-QUICK(Q-QUICK) and normal quasi-QUICK(NQ-QUICK),for improving the pr...
supported by the National Science and Technology Major Project of China(Grant No.2008ZX50443-14);the National Basic Research Program of China(973Program,Grant No.2011CB201005)
When the classical nonlinear partial differential equations are used to model the fractal reservoir, based on the assumption of low compressibility fluids, the effects of the quadratic gradient term are ignored, which...
supported in part by Hunan Education Department Key Project 10A117 and Hunan Provincial Innovation Foundation for Postgraduate CX2010B247;supported by the Foundation for Talent Introduction of Guangdong Provincial University,Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(2008)and National Science Foundation of China(10971074);supported in part by the NSFC Key Project(11031006);Hunan Provincial NSF Project(10JJ7001);the NSFC for Distinguished Young Scholars(10625106);National Basic Research Program of China under the Grant 2005 CB321701.
In this paper,we discuss the a posteriori error estimates of the mixed finite element method for quadratic optimal control problems governed by linear parabolic equations.The state and the co-state are discretized by ...
supported by the National Basic Research Program of China ("973" Program) (Grant No. 2011CB706800);the National Natural Science Foundation of China (Grant No. 50835004);the National Funds for Distinguished Young Scientists of China (Grant No. 51025518)
Traditional five-axis tool path planning methods mostly focus on differential geometric characteristics between the cutter and the workpiece surface to increase the material removal rate(i.e.,by minimizing path length...
supported by National Natural Science Foundation of China(10671112);National Basic Research Program of China(973 Program)(2007CB814904);the Natural Science Foundation of Shandong Province(Z2006A01)
This paper studies the existence and uniqueness of solutions of fully coupled forward-backward stochastic differential equations with Brownian motion and random jumps.The result is applied to solve a linear-quadratic ...
Project supported by the 973 National Basic Research Program of China (No. 2007CB814904);the National Natural Science Foundations of China (No. 10921101);the Shandong Provincial Natural Science Foundation of China (No. 2008BS01024);the Science Fund for Distinguished Young Scholars of Shandong Province (No. JQ200801);the Shandong University Science Fund for Distinguished Young Scholars(No. 2009JQ004)
The authors discuss one type of general forward-backward stochastic differential equations (FBSDEs) with Ito's stochastic delayed equations as the forward equations and anticipated backward stochastic differential equ...
supported by the China NSF Outstanding Young Scientist Foundation(No.10525102);National Natural Science Foundation(No.10471146);the National Basic Research Program (No.2005CB321702)P.R.China;supported in part by the Fundamental Research Fund for Physics and Mathematics of Lanzhou University.P.R.China;supported in part by Hong Kong Research Grants Council Grant Nos.7035/04P and 7035/05P;HKBU FRGs
Signal and image restoration problems are often solved by minimizing a cost function consisting of an l2 data-fidelity term and a regularization term. We consider a class of convex and edge-preserving regularization f...