当前位置:文档之家› 热传导方程中的若干反问题

热传导方程中的若干反问题

15.J R Dorroh Continuous dependence of nonnegative solutions of the heat equation on noncharacteristic Cauchy data 1995
16.P Duchateau.W Rundell Unicity in an inverse problem for an unkown reaction term in a reaction-diffusion-equation 1985(59)
29.S It(o)Diffusion Equations 1992
30.P Jonas.A K Louis Approximate inverse for a one-dimensional inverse heat conduction problem[外文期刊] 2000
31.D Lesnic.L Elliott.D B Ingham Application of the boundary element method to inverse heat conduction problems 1996(07)
Ⅰ.Problem in one space dimension 1981
6.J B Bell The noncharacteristic Cauchy problem for a class of equations with time dependence
Ⅱ.Multi-dimensional Problems 1981
19.J I Frankel Residual-minimization least-squares method for inverse heat conduction 1996(04)
20.J I Frankel.M Keyhani A global time treatment for inverse heat conduction problems 1997
38.S Y Shen A Numerical study of inverse heat conduction problems[外文期刊] 1999(7-8)
39.M Stecher Integral operators and the noncharacteristic Cauchy problem for parabolic equations 1975(05)
17.H W Engl.O Scherzer.M Yamamoto Uniqueness of forcing terms in linear partial differential equations with overspecified boundary data 1994(10)
18.E Francini Stability results for solutions of a linear parabolic noncharacteristic Cauchy problem 2000(03)
23.D N Hào A noncharacteristic Cauchy problem for linear parabolic equations Ⅱ:a variational method
1992(5-6)
24.D N Hào A noncharacteristic Cauchy problem for linear parabolic equations Ⅲ:a variational method and its approximatiundamental solutions method for elliptic boundary value problems 1985
8.J R Cannon The One-Dimensional Heat Equation 1984
9.J R Cannon Determination of an unknown heat source from overspecified bound-ary data 1968(05)
21.F Ginsberg On the Cauchy problem for one-dimensional heat equation 1963
22.P C Hansen Numerical tools for analysis and solution of Fredholm integral equations of the first kind 1992
复旦大学
博士学位论文
热传导方程中的若干反问题
姓名:贾现正
申请学位级别:博士
专业:计算数学
指导教师:程晋
20050930
热传导方程中的若干反问题
作者:贾现正
学位授予单位:复旦大学
36.A Pazy Semigroups of Linear Operators and Applications to Partial Differential Equations 1983
37.S Saitoh.V K Tuan.M Yamamoto Reverse convolution inequalities and applications to inverse heat source problems 2002(05)
25.D N Hào.R Gorenflo A noncharacteristic Cauchy problem for the heat equation 1991
26.F Hettlich.W Rundell Identification of a discontinuous source in the heat equation[外文期刊] 2001(17)
6.任常青.REN Chang-qing热传导方程反问题的数值解法[期刊论文]-四川理工学院学报(自然科学版)
2008,21(3)
7.翟辉.姜任秋.孙宝芝.李彦军高强度激光加热薄层物料的数值模拟[会议论文]-2003
引用本文格式:贾现正热传导方程中的若干反问题[学位论文]博士 2005
27.Y C Hon.T Wei A fundamental solution method for inverse heat conduction problem[外文期刊] 2004
28.G C Hsiao.J Saranen Boundary integral solution of the two-dimensional heat equation 1993
40.C F Weber Analysis and solution of the ill-posed inverse heat conduction problem 1981(11)
41.M Yamamoto Conditional stability in determination of densities of heat sources in a bounded domain 1994
34.O Y Imanuvilov.M Yamamoto Lipschitz stability in inverse parabolic problems by the Carleman estimate[外文期刊] 1998
35.L E Payne Improved stability estimates for classes of ill-posed Cauchy problems 1985
被引用次数:2次
1.R A Adams Sobolev Spaces 1975
2.O M Alifanov Inverse Heat Transfer Problems 1994
3.H Ammari.H Kang Reconstruction of Small Inhomogeneities from Boundary Measurements 2004
10.J R Cannon A Cauchy problem for the heat equation 1964
11.J R Cannon.J Douglas The Cauchy problem for the heat equation 1967
12.J R Cannon.P Duchateau Structual identification of an unkown source term in a heat equation
1998(14)
13.J R Cannon.R Ewing A direct numerical procedure for the Cauchy problem for the heat equation 1976
14.R Chapko.R Kress.J R Yoon On the numerical solution of an inverse boundary value problem for the heat equation[外文期刊] 1998
1.田敏时间依赖偏微分方程的区域分解并行算法[学位论文]2007
2.张静分析问题搞好协调研究对策——关于企业集团内部审计[期刊论文]-魅力中国2009(33)
3.孙洁关于前向-后向热方程的数值方法[学位论文]2008
4.杨古帆若干数学物理正问题与反问题的算法及其应用[学位论文]2007
5.杜秀云精细积分算法求解双曲热传导问题[期刊论文]-辽宁师范大学学报(自然科学版)2004,27(3)
4.K Balakrishnan.P A Ranachandran A particular solution Trefftz method for non-linear Poisson problems in heat and mass transfer[外文期刊] 1999
5.J B Bell The noncharacteristic Cauchy problem for a class of equations with time dependence
相关主题