INTEGRAL_EQUATION

作品数:231被引量:222H指数:6
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Evolutionary dynamics of cancer:From epigenetic regulation to cell population dynamics——mathematical model framework, applications,and open problems被引量:3
《Science China Mathematics》2020年第3期411-424,共14页Jinzhi Lei 
supported by National Natural Science Foundation of China (Grant Nos. 91730101 and 11831015)
Predictive modeling of the evolutionary dynamics of cancer is a challenging issue in computational cancer biology. In this paper, we propose a general mathematical model framework for the evolutionary dynamics of canc...
关键词:stem cell regeneration differential-integral equation cancer development computational cancer biology open problems 
On the reconstruction of media inhomogeneity by inverse wave scattering model
《Science China Mathematics》2017年第10期1825-1836,共12页ZHONG Min LIU JiJun 
supported by National Natural Science Foundation of China(Grant Nos.11421110002,11531005 and 11501102);National Science Foundation of Jiangsu Province(Grant No.BK20150594)
Consider the reconstruction of the complex refraction index of an object, which is immersed in a known homogeneous background, from the knowledge of scattered waves of the point sources outside of the object. We first...
关键词:inverse scattering integral equation alternating iteration TV regularization CONVERGENCE 
Weighted polyharmonic equation with Navier boundary conditions in a half space
《Science China Mathematics》2017年第3期491-510,共20页ZHUO Ran 
We study positive solutions of the following polyharmonic equation with Hardy weights associated to Navier boundary conditions on a half space:where rn is any positive integer satisfying 0 〈 2m 〈 n. We first prove ...
关键词:Navier boundary conditions half space super polyharmonic EQUIVALENCE integral equation rotational symmetry NON-EXISTENCE 
Fast integral equation solver for Maxwell's equations in layered media with FMM for Bessel functions被引量:1
《Science China Mathematics》2013年第12期2561-2570,共10页CHO Min Hyung CAI Wei 
supported by the US Army Ofce of Research(Grant No.W911NF11-1-0364);the National Science Foundation of USA(Grant No.DMS-1005441);National Natural Science Foundation of China(Grant No.91230105)
The paper presents a new fast integral equation solver for Maxwell's equations in 3-D layered media. First, the spectral domain dyadic Green's function is derived, and the 0-th and the 1-st order Hankel transforms o...
关键词:Maxwell's equations Helmholtz equation layered media Green's function fast multipole method 
Symmetry and regularity of solutions to a system with three-component integral equations
《Science China Mathematics》2012年第10期1991-2004,共14页QU ChangZheng DOU JingBo 
supported by National National Science Foundation of China for Distinguished Young Scholars (Grant No. 10925104);National National Science Foundation of China (Grant No.11101319);the Foundation of Shaanxi Province Education Department (Grant No. 2010JK549)
Consider the system with three-component integral equations{u(x) :fRn│x - y│α-nw(y)^v(y)^qdy,v(x) =fRn│x-y│^α-nu(y)^pw(y)^rdy, w(x) =fRn│x - y│α-nv(y)qu(y)Pdy,where 0 〈 a 〈 n, n is a posi...
关键词:system of integral equations SYMMETRY REGULARITY conformal invariance 
Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs被引量:3
《Science China Mathematics》2010年第1期1-22,共22页WANG Bo1,WANG Rui2 & XU YueSheng3,4,1Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China 2School of Information Science and Engineering,Graduate University of the Chinese Academy of Sciences,Beijing 100190,China 3Department of Mathematics,Syracuse University,Syracuse,NY 13244,USA 4Department of Scientific Computing and Computer Applications,Sun Yat-sen University,Guangzhou 510275,China 
supported by the President Fund of GUCAS and the US National Science Foundation (Grant No.CCR-0407476,DMS-0712827);National Natural Science Foundation of China(Grant No.10371122,10631080)
We propose a fully discrete fast Fourier-Galerkin method for solving an integral equation of the first kind with a logarithmic kernel on a smooth open arc,which is a reformulation of the Dirichlet problem of the Lapla...
关键词:DIRICHLET problem open arc SINGULAR boundary integral equations Fourier-Galerkin methods logarithmic POTENTIALS 
Age-dependent branching processes in random environments被引量:12
《Science China Mathematics》2008年第10期1807-1830,共24页LI YingQiu LIU QuanSheng 
the National Natural Sciente Foundation of China (Grant Nos. 10771021, 10471012);Scientific Research Foundation for Returned Scholars, Ministry of Education of China (Grant No. [2005]564)
We consider an age-dependent branching process in random environments. The environments are represented by a stationary and ergodic sequence ξ = (ξ 0, ξ 1,…) of random variables. Given an environment ξ, the proce...
关键词:age-dependent branching processes random environments probability generating function integral equation extinction probability exponential growth rates of expectation and conditional expectation random walks and renewal equation in random environments renewal theorem 60J80 60K37 60K05 
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