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Journal of Systems Science & Complexity 2010年第4期23卷 738-747页

作者： Yu ZHANG·Jitao SUN department of Mathematics,tongji university,shanghai 200092,China. JitaoSUN department of Mathematics Tongji University

This paper investigates the stability of impulsive linear hybrid systems with time *** a number of delay-independent/delay-dependent stability criteria are obtained by using Lyapunovfunctions or Lyapunov *** examples ... 详细信息

关键词： Impulsive linear hybrid system Lyapunov function Lyapunov functional time delay.

AN EXACT SYMPLECTIC SOLUTION FOR THE DYNAMIC ANALYSIS OF SHEAR DEFORMAbLE ANTISYMMETRIC ANGLE-PLY LAMINATED PLATES

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Acta Mechanica Solida Sinica 1996年第3期9卷 263-273页

作者： Zou Guiping (department of Engineering Mechanics,tongji university,shanghai 200092) tongji UNIV DEPT MECH ENGN SHANGHAI 200092 PEOPLES R CHINA

From the mixed variational principle, by the selection of the state variables and its dual variables, the Hamiltonian canonical equation for the dynamic analysis of shear deformable antisymmetric angle-ply laminated plates is derived, leading to the mathematical frame of symplectic geometry and algorithms, and the exact solution for the arbitrary boundary conditions is also derived by the adjoint orthonormalized symplectic expansion method. Numerical results are presented with the emphasis on the effects of length/thickness ratio, arbitrary boundary conditions, degrees of anisotropy, number of layers, ply-angles and the corrected coefficients of transverse shear.

关键词： Hamilton canonical equation symplectic free vibration analysis antisymmetric angle-ply laminated plates

A NUMERICAL METHOD FOR DETERMINING THE OPTIMAL EXERCISE PRICE TO AMERICAN OPTIONS

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Journal of Computational Mathematics 2003年第3期21卷 305-310页

作者： Xiong-hua Wu Xiu-juan Feng (department of Applied Mathematics, tongji university, shanghai 200092, China ) department of Applied Mathematics Tongji University 上海 800092

American options can be exercised prior to the date of expiration, the valuation of American options then constitutes a free boundary value problem. How to determine the free boundary, i.e. the optimal exercise price, is a key problem. In this paper, a nonlinear equation is given. The free boundary can be obtained by solving the nonlinear equation and the numerical results are better.

关键词： American options Free boundary Optimal exercise price Nonlinear equation.

Nonlinear constitutive law for ferroelectric/ferroelastic material and its finite element realization

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Science China(Physics,Mechanics & Astronomy) 2007年第1期50卷 70-86页

作者： LI YaoChen department of Aerospace Engineering and Applied Mechanics,tongji university,shanghai 200092,China department of Aerospace Engineering and Applied Mechanics Tongji UniversityShanghai 200092 China

The hysteresis phenomena of ferroelectric/ferroelastic material in polarization procedure are investigated. Some assumptions are presented based on the published experimental data. The electrical yielding criterion, mechanical yielding criterion and isotropic hardening model are established. The flow theory in incremental forms in polarization procedure is presented. The nonlinear constitutive law for electrical-mechanical coupling is proposed phenomenologically. Finally, the nonlinear constitutive law expressed in a form of matrices and vectors, which is immediately associated with finite element analysis, is formulated. In the example problem of a rectangular specimen subjected to a uniaxial electric field, the procedure from virgin state to fully polarized state is simulated. Afterward, a uniaxial compressive loading is applied to depolarizing the specimen. Results are in agreement with the experimental data.

关键词： ferroelectric/ferroelastic material constitutive law nonlinear finite element method.

Analytical solution for wave-induced response of isotropic poro-elastic seabed

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Science China(Technological Sciences) 2010年第10期53卷 2619-2629页

作者： ZHANG YongLi & LI Jie department of building Engineering, tongji university, shanghai 200092, China 1. department of building Engineering Tongji University Shanghai 200092 China

by use of separation of variables,the governing equations describing the biot consolidation model is firstly transformed into a complex coefficient linear homogeneous ordinary differential equation,and the general solution of the horizontal displacement of seabed is constructed by employing a complex wave number,thus,all the explicit analytical solutions of the biot consolidation model are determined. by comparing with the experimental results and analytical solution of Yamamoto etc. and the analytical solution of Hsu and Jeng,the validity and superiority of the suggested solution are verified. After investigating the influence of seabed depth on the wave-induced response of isotropic poro-elastic seabed based on the present theory,it can be concluded that the influence depth of wave-induced hydrodynamic pressure in the seabed is equal to the wave length.

关键词： linear wave dynamic water pressure seabed analytical solution biot consolidation model

The pricing of perpetual convertible bond with credit risk

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Applied Mathematics(A Journal of Chinese Universities) 2010年第3期25卷 277-290页

作者： WANG Le-le bIAN bao-jun department of Mathematics, tongji university, shanghai 200092, China department of Mathematics Tongji University Shanghai China

Convertible bond gives holder the right to choose a conversion strategy to maximize the bond value, and issuer also has the right to minimize the bond value in order to maximize equity value. When there is default occurring, conversion and calling strategies are invalid. In the framework of reduced form model, we reduce the price of convertible bond to variational inequalities, and the coefficients of variational inequalities are unbounded at the original point. Then the existence and uniqueness of variational inequality are proven. Finally, we prove that the conversion area, the calling area and the holding area are connected subsets of the state space.

关键词： Convertible bond default risk optimal stopping problem variational inequality free boundary.

Error matching detection and robust estimation adjustment approach for map conflation

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Science China(Technological Sciences) 2008年第S1期51卷 48-61页

作者： TONG XiaoHua & DENG SuSu department of Surveying and Geo-informatics,tongji university,shanghai 200092,China tongji Univ Dept Surveying & Geoinfromat Shanghai 200092 Peoples R China

The conflation of geographic datasets is one of the key technologies in the realm of spatial data capture and integration in geographic information system (GIS). Map conflation is a complex process of matching and merging spatial data. Due to various reasons such as errors in original data related to map data discrepancies,a great amount of uncertainties exists during the process and this will result in errors in featuring matching,especially point feature. Thus,it is vital to develop the method to detect the errors in feature matching and further the conflation results will not be affected. In this paper,error matching detection and robust estimation adjustment methods are proposed for map conflation. The characteristics of errors in feature matching are first analyzed,then a new approach for map conflation based on the least-squares adjustment is presented,and a robust estimation adjustment method is further proposed to detect and process matching errors. The results of the map conflation test show that the proposed method not only determines the errors in feature matching,but also obtains the optimal merging results in map conflation.

关键词： map conflation robust estimation error feature matching uncertainty

HARMONIC FUNCTIONS ON A COMPLETE NONCOMPACT MANIFOLD WITH ASYMPTOTICALLY NONNEGATIVE CURVATURE

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Chinese Annals of Mathematics,Series b 2004年第4期25卷 523-532页

作者： ZHOUCHAOHUI CHENZHIHUA departmentofAppliedMathematics TongjiUniversityShanghai200092China.

The authors prove the space of harmonic functions with polynomial growth of a fixed rate on a complete noncompact Riemannian manifold with asymptotically nonnegative curvature is finite dimensional.

关键词： Harmonic function Asymptotically nonnegative curvature Polynomial growth

A Jacobi-Eisenstein series of weight two on congruence Jacobi subgroup

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Science China Mathematics 2010年第9期53卷 2405-2410页

作者： LU HongWen & ZHOU HaiGang department of Mathematics,tongji university,shanghai 200092,China 1. department of Mathematics Tongji University Shanghai 200092 China

The specific aims of this paper are to define a Jacobi-Eisenstein series of weight two on congruence Jacobi subgroup and to compute its Fourier expansion coefficients in *** overcome the difficulties that the Jacobi-E... 详细信息

关键词： Jacobi forms Eisenstein series Fourier expansion