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利用积分算子方程的小波-矩量法分析频率选择反射面 被引量:1
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作者 宋玉明 方大纲 《南京理工大学学报》 CAS CSCD 1996年第6期537-540,共4页
小波-矩量法以小波基作为矩量法中的基函数,通过Galerkin法可以获得很稀疏的阻抗矩阵,用迭代法求解时可减少计算机内存和计算时间。该文以有限尺寸的频率选择反射面为例,用小波-矩量法分析散射特性和电流分布,着重讨论了... 小波-矩量法以小波基作为矩量法中的基函数,通过Galerkin法可以获得很稀疏的阻抗矩阵,用迭代法求解时可减少计算机内存和计算时间。该文以有限尺寸的频率选择反射面为例,用小波-矩量法分析散射特性和电流分布,着重讨论了阻抗矩阵的稀疏化程度对计算精度的影响。结果表明,当非零元素仅为10%时,仍能达到满意的精度。 展开更多
关键词 稀疏矩阵 电磁场 积分算子方程 小波-矩量法
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积分算子方程的连续型配置方法
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作者 胡齐芽 《计算数学》 CSCD 北大核心 1998年第3期261-266,共6页
In this paper we discuss the continuous piecewise polynomial spline collocation method for a kind of integral operator equations, which include smooth kernel Fredholm equations and Volterra equations as well as Green... In this paper we discuss the continuous piecewise polynomial spline collocation method for a kind of integral operator equations, which include smooth kernel Fredholm equations and Volterra equations as well as Green’s kernel integral equations. It will be shown that the collocation solution itself may admit an ideal error expansion at the knots. Based on this expanison, the multilevel corrected global estimates can be obtained by using the "higher order interpolation" technique. 展开更多
关键词 积分算子方程 连续型配置 多层校正 积分方程
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Operator Fredholm Integration Equation in Intermediate Coordinate-Momentum Representation and Its Analogue to Thermo Conduction Equation 被引量:2
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作者 FAN Hong-Yi TANG Xu-Bing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第5期1169-1172,共4页
Using the technique of integration within an ordered product (IWOP) of operators we construct intermediate coordinate-momentum representation, with which we build a type of operator Fredholm integration equation tha... Using the technique of integration within an ordered product (IWOP) of operators we construct intermediate coordinate-momentum representation, with which we build a type of operator Fredholm integration equation that is an operator generalization of the solution of thermo conduction equation. Then we seach for the solution of operator Fredholm integration equations, which provides us with a new approach for deriving some operator identities. 展开更多
关键词 operator Fredholm equation intermediate coordinate-momentum representation thermo conduction equation
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Solution to Operator Fredholm Equation in Bipartite Entangled State Representation and Its Applications
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作者 FAN Hong-Yi WANG Ji-Suo 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第4期611-616,共6页
Based on the bipartite entangled state representation and using the technique of integration within an ordered product (IWOP) of operators we construct the corresponding operator Fredholm equations and then derive t... Based on the bipartite entangled state representation and using the technique of integration within an ordered product (IWOP) of operators we construct the corresponding operator Fredholm equations and then derive their solutions. As its application we deduce some new bosonic operator identities and new relations about the two-variable Hermite polynomials. 展开更多
关键词 operator Fredholm equation bipartite entangled state
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Necessity of Integral Formalism
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作者 陶勇 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第10期648-654,共7页
To describe the physical reality, there are two ways of constructing the dynamical equation of field, differential formalism and integral formalism. The importance of this fact is firstly emphasized by Yang in case of... To describe the physical reality, there are two ways of constructing the dynamical equation of field, differential formalism and integral formalism. The importance of this fact is firstly emphasized by Yang in case of gauge field [Phys. Rev. Lett. 33 (1974) 44fi], where the fact has given rise to a deeper understanding for Aharonov-Bohm phase and magnetic monopole [Phys. Rev. D 12 (1975) 3846]. In this paper we shall point out that such a fact also holds in general wave function of matter, it may give rise to a deeper understanding for Berry phase. Most importantly, we shall prove a point that, for general wave function of matter, in the adiabatic limit, there is an intrinsic difference between its integral formalism and differential formalism. It is neglect of this difference that leads to an inconsistency of quantum adiabatic theorem pointed out by Marzlin and Sanders [Phys. Rev. Lett. 93 (2004) 160408]. It has been widely accepted that there is no physical difference of using differential operator or integral operator to construct the dynamical equation of field. Nevertheless, our study shows that the Schroedinger differential equation (i.e., differential formalism for wave function) shall lead to vanishing Berry phase and that the Schroedinger integral equation (i.e., integral formalism for wave function), in the adiabatic limit, can satisfactorily give the Berry phase. Therefore, we reach a conclusion: There are two ways of describing physical reality, differential formalism and integral formalism; but the integral formalism is a unique way of complete description. 展开更多
关键词 quantum adiabatic theorem integral formalism differential formalism Berry phase gauge field
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THE EXISTENCE OF POSITIVE SOLUTION FOR THE NONLINEARSINGULAR BOUNDARY VALUE PROBLEMS
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作者 刘文斌 《Journal of China University of Mining and Technology》 1994年第2期122-128,共7页
Making use of upper and lower solutions and analytical method, the author studies theexistence of positive solution for the singular equation x + f(t, z) = 0 satisfying nonlinear boundary conditions: x (0) = 0, h(x (1... Making use of upper and lower solutions and analytical method, the author studies theexistence of positive solution for the singular equation x + f(t, z) = 0 satisfying nonlinear boundary conditions: x (0) = 0, h(x (1), x’ (1)) = 0, g (z (0), x’(0)) = 0, and x (1) = 0,which extends the result of J. V. Baxley. 展开更多
关键词 singular boundary value problem nonlinear boundary condition upper and lower solutions
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Natural Boundary Element Method for ParabolicEquations in an Unbounded Domain 被引量:1
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作者 朱昌杰 杜其奎 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2002年第2期177-188,共12页
In this paper we introduce an implementation for the efficient numericalsolution of exterior initial boundary value problem for parabolic equation. The problemis reformulated as an equivalent one on a boundary T using... In this paper we introduce an implementation for the efficient numericalsolution of exterior initial boundary value problem for parabolic equation. The problemis reformulated as an equivalent one on a boundary T using natural boundary reduction.The governing equation is first discretized in time, leading to a time-stepping scheme,where an exterior elliptic problem has to be solved in each time step. By Fourier ex-pansion, we derive a natural integral equation of the elliptic problem related to timestep and Poisson integral integral formula over exterior circular domain. Finite elementdiscretization of the natural integral equation is employed to solve this problem. Thecomputational aspects of this method are discussed. Numerical results are presented toillustrate feasibility and efficiency of our method. 展开更多
关键词 parabolic problem natural boundary reduction exterior problem numer-ical implementation finite element.
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WELL-POSEDNESS OF THE MODEL DESCRIBING A REPAIRABLE,STANDBY,HUMAN & MACHINE SYSTEM 被引量:5
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作者 Geni Gupur 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2003年第4期483-493,共11页
By using the strong continuous semigroup theory of linear operators we prove the existence of a unique positive time-dependent solution of the model describing a re-pairable, standby, human & machine system.
关键词 C_0-semigroup dispersive operator conservative operator
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ON THE NUMBER OF FIXED POINTS OF NONLINEAR OPERATORS AND APPLICATIONS 被引量:3
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作者 SUNJingxian ZHANGKemei 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2003年第2期229-235,共7页
In this paper, the famous Amann three-solution theorem is generalized. Multiplicity question of fixed points for nonlinear operators via two coupled parallel sub-super solutions is studied. Under suitable conditions, ... In this paper, the famous Amann three-solution theorem is generalized. Multiplicity question of fixed points for nonlinear operators via two coupled parallel sub-super solutions is studied. Under suitable conditions, the existence of at least six distinct fixed points of nonlinear operators is proved. The theoretical results are then applied to nonlinear system of Hammerstein integral equations. 展开更多
关键词 CONE fixed point index theory uniformly positive operator parallelsub-super solutions
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A New Solution to the Hirota–Satsuma Coupled KdV Equations by the Dressing Method
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作者 朱俊逸 周德文 杨娟娟 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第9期266-268,共3页
The Hirota-Satsuma coupled KdV equations associated 2 x 2 matrix spectral problem is discussed by the dressing method, which is based on the factorization of integral operator on a line into a product of two Volterra ... The Hirota-Satsuma coupled KdV equations associated 2 x 2 matrix spectral problem is discussed by the dressing method, which is based on the factorization of integral operator on a line into a product of two Volterra integral operators. A new solution is obtained by choosing special kernel of integral operator. 展开更多
关键词 dressing method Hirota-Satsuma coupled KdV equation exact solution
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