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laplace inversion arithmetic on personal computers and its applications in materials science

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Chinese Science Bulletin 1995年第7期40卷 540-543页

作者：唐政王采林王少阶 Department of Physics Wuhan University Wuhan 430072 ChinaDepartment of Physics Wuhan University Wuhan 430072 ChinaDepartment of Physics Wuhan University Wuhan 430072 China

Positron annihilation lifetime(PAL) spectroscopy is a powerful experimental methodfor electronic structure and defect study of solid and has been extensively applied in solidstate physics, chemistry,materials science,... 详细信息

关键词： positron annihilation rate distribution laplace inversion polymer high-Tc superconductor.

The first eigenvalue of laplace operator under powers of mean curvature flow

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Science China Mathematics 2010年第7期53卷 1702-1709页

作者： ZHAO Liang Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China Center of Mathematical Sciences Zhejiang University Hangzhou China

In this paper, we derive the evolution equation for the first eigenvalue of laplace operator along powers of mean curvature flow. Considering a compact, strictly convex n-dimensional surface M without boundary, which is smoothly immersed in R n+1 , we prove that if the initial 2-dimensional surface M is totally umbilical, then the first eigenvalue is nondecreasing along the unnormalized H k -flow. Moreover, as applications of the evolution equation, we construct some monotonic quantities along this kind of flow.

关键词： laplace operator H k -flow eigenvalue monotonicity

A class of strong deviation theorems and an approach of laplace transformation

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Chinese Science Bulletin 1998年第19期43卷 1605-1610页

作者： LIU Wen Hebei University of Technology, Tianjin 300130, China Hebei University of Technology Tianjin China

The limit properties of the dependent sequence of absolutely continuous random variables are investigated by using the notion of likelihood ratio, and a class of strong limit theorems, represented by inequalities, i.e. the strong deviation theorems, are obtained. In the proof an approach of applying the laplace transformation to the investigation of the strong limit theorems is proposed.

关键词： strong deviation theorem strong limit theorem likelihood ratio laplace transformation.

The Construction of Hyperbolic Surfaces in 3 Dimensional Minkowski Space and Sinh-laplace Equation

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Acta Mathematica Sinica,English Series 1985年第1期1卷 79-86页

作者：胡和生 Institute of Mathematics Fudan University

§1.IntroductionThe relationship between surfaces of negative constant curvature in theEuclidean space R3and the sine-Gordon equation was known long time ago.Owing to the significance of the sine-Gordon equation in physical sciences,thegeometrical properties of the surfaces of negative constant curvature become moreattractive.In the study of harmonic maps from the Minkowski plane R1,1or from theEuclidean plane R2to various kinds of"spheres"in R3or R(2,1),the following

关键词： Minkowski laplace curvature Riemannian harmonic spheres coordinates tangent neighborhood nonlinearity

THE SPECTRUM OF THE laplace OPERATION ON COMPACT SUBMANIFOLDS

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数学物理学报（A辑） 1997年第S1期17卷 217-224页

作者：倪轶龙徐森林中国科学技术大学数学系安徽合肥

Let M be a compct submanifold of sphere SN, and M be Cliford torus imbedding in SN. If Spec0(M) =Spec0(M), and Specq(M) =Specq(M), then author can obtaid that M is isometric to M.

关键词： laplace operation spectrum isometric

laplace方程Cauchy问题求解的一种正则化方法

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江西科学 2023年第5期41卷 825-830页

作者：祝志栋石红岩时秀娟仰恩大学数学系福建泉州362014

利用Tikhonov正则化方法求解圆环域上laplace方程Cauchy问题,提出了利用Morozov相容性原理确定正则化参数的改进模型函数方法,并给出了迭代算法。数值算例验证了该方法的有效性。

关键词： laplace 正则化参数模型函数 Morozov方程

A laplace Decomposition Method for Nonlinear Partial Diferential Equations with Nonlinear Term of Any Order

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Communications in Theoretical Physics 2014年第1期61卷 23-31页

作者：朱海星安红利陈勇 College of Economics and Management Nanjing Forestry University College of Sciences Nanjing Agricultural University Shanghai Key Laboratory of Trustworthy Computing East China Normal University

A laplace decomposition algorithm is adopted to investigate numerical solutions of a class of nonlinear partial diferential equations with nonlinear term of any order,utt+auxx+bu+cup+du2p 1=0,which contains some important equations of mathematical physics.Three distinct initial conditions are constructed and generalized numerical solutions are thereby obtained,including numerical hyperbolic function solutions and doubly periodic ones.Illustrative figures and comparisons between the numerical and exact solutions with diferent values of p are used to test the efciency of the proposed method,which shows good results are achieved.

关键词：非线性偏微分方程 laplace 非线性项任意阶分解法求解数值解分解算法

用Harris-laplace特征进行遥感图像配准

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四川大学学报（工程科学版） 2011年第4期43卷 89-94页

作者：李伟生王卫星罗代建重庆邮电大学计算机学院重庆400065 福州大学物理与信息工程学院福建福州350108 电子科技大学电子工程学院四川成都611731

为克服图像在旋转及分辨率不一致时自动配准的困难,提出了一种新的自动配准方法:包括新的尺度空间投影算法和新的特征匹配算法。基于Harris-laplace(H-L)特征的尺度不变性,新的尺度空间投影法运用H-L方法提取图像特征,然后将特征空间建... 详细信息

为克服图像在旋转及分辨率不一致时自动配准的困难,提出了一种新的自动配准方法:包括新的尺度空间投影算法和新的特征匹配算法。基于Harris-laplace(H-L)特征的尺度不变性,新的尺度空间投影法运用H-L方法提取图像特征,然后将特征空间建立在依据特征点主方向的图像投影信息上,使得特征空间具有对图像旋转和分辨率大小不变的特性。新的特征匹配法则采用特征空间k-d树欧氏距离匹配和RANSAC一致性位置检验相结合的方法,实现了高效率无差错的特征匹配。通过比较分析与实验证明,该自动配准方法能够对不同分辨率、不同旋转角度的图像精确地实现自动配准。

关键词：图像自动配准 Harris laplace 尺度不变

laplace Discrete Adomian Decomposition Method for Solving Nonlinear Integro Differential Equations

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Journal of Applied Mathematics and Physics 2019年第6期7卷 1388-1407页

作者： H. O. Bakodah M. Al-Mazmumy S. O. Almuhalbedi Lazim Abdullah Department of Mathematics Faculty of Science University of Jeddah Jeddah KSA Department of Mathematics Faculty of Science King Abdulaziz University Jeddah KSA School of Informatics and Applied Mathematics Universiti Malaysia Terengganu Kuala Terengganu Malaysia

This paper proposes the laplace Discrete Adomian Decomposition Method and its application for solving nonlinear integro-differential equations. This method is based upon the laplace Adomian decomposition method coupled with some quadrature rules of numerical integration. Four numerical examples of integro-differential equations in both Volterra and Fredholm integrals are used to be solved by the proposed method. The performance of the proposed method is verified through absolute error measures between the approximated solutions and exact solutions. The series of experimental numerical results show that our proposed method performs in high accuracy and efficiency. The study clearly highlights that the proposed method could be used to overcome the analytical approaches in solving nonlinear integro-differential equations.

关键词： Integro-Differential Equation Volterra Integro-Differential Equation Fredholm Integro-Differential Equation laplace Adomian Decomposition Method Quadrature Rules