JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (2): 18-24.doi: 10.6040/j.issn.1671-9352.0.2017.292
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DING Feng-xia, CHENG Hao*
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| [1] GORENFLO R. Funktionentheoretische bestimmung des aussenfeldes zu einer zweidimensionalen magnetohydrostatischen konfiguration[J]. Zeitschrift Für Angewandte Mathematik and Physik, 1965, 16(2):279-290. [2] VIANO G A. Solution of the Hausdorff moment problem by the use of Pollaczek polynomials[J]. Journal of Mathematical Analysis and Applications, 1991, 156(2):410-427. [3] JOHNSON C R. Computational and numerical methods for bioelectric field problems[J]. Critical Reviews in Biomedical Engineering, 1997, 25(1):1-81. [4] COLLI-FRANZONE P,MAGENES E. On the inverse potential problem of electrocardiology[J]. Calcolo, 1979, 16(4):459-538. [5] ALESSANDRINI G. Stable determination of a craek from boundary measurements[J]. Proceedings of the Royal Society of Edinburgh, 1993, 123(3):497-516. [6] COLLI-FRANZONE P, TENTONI L G, BARUFFI C V, et al. A mathematical procedure for solving the inverse potential problem of electrocardiography. Analysis of the time-space accuracy from in vitro experimental data[J]. Mathematical Biosciences, 1985, 77(1):353-396. [7] HADAMARD J. Lecture on the Cauchy problem in linear partial differential equations[M]. New Haven: Yale University Press, 1923. [8] 刘松树.几类偏微分方程不适定问题的正则化方法[D].哈尔滨:哈尔滨工业大学,2014. LIU Songshu. Regularization methods for ill-posed problems of several partial differential equtions[D]. Harbin:Harbin Institute of Technology, 2014. [9] WEI Ting, CHEN Yonggang, LIU Jichuan. A variational-type method of fundamental solutions for a Cauchy problem of Laplaces equation[J]. Applied Mathematical Modelling, 2013, 37(3):1039-1053. [10] FU Chuli, LI Haifeng, QIAN Zhi, et al. Fourier regularization method for solving a Cauchy problem for the Laplace equation[J]. Inverse Problems in Science and Engineering, 2008, 16(2):159-169. [11] XIONG Xiangtan, FU Chuli. Central difference regularization method for the Cauchy problem of the Laplaces equation[J].Applied Mathematics and Computation, 2006, 181(1):675-684. [12] VANI C, AVUDAINAYAGAM A. Regularized solution of the Cauchy problem for the Laplace equation using Meyer wavelets[J]. Mathematical and Computer Modelling, 2002, 36(9-10):1151-1159. [13] XIONG Xiangtuan, SHI Wanxia, FAN Xiaoyan. Two numerical methods for a Cauchy problem for modified Helmholtz equation[J]. Applied Mathematical Modelling, 2011, 35(10):4951-4964. [14] QIN Haihua, WEI Ting. Quasi-reversibility and truncation methods to solve a Cauchy problem for the modified Helmholtz equation[J]. Mathematics and Computers in Simulation, 2009, 80(2):352-366. [15] CHENG Hao, FENG Xiaoli, FU Chuli. A mollification regularization method for the Cauchy problem of an elliptic equation in a multi-dimensional case[J]. Inverse Problems in Science and Engineering, 2010, 18(7):971-982. [16] 邓志亮.两类不适定问题的正则化方法研究[D].兰州:兰州大学,2010. DENG Zhiliang. The study of the regularization methods for two classes of ill-posed problems[D]. Lanzhou: Lanzhou University, 2010. [17] FU Chuli, XIONG Xiangtuan, QIAN Zhi. Fourier regularization method for solving a cauchy problem for the Laplace equation[J]. Inverse Problems in Science Engineering, 2008, 16(2):159-169. [18] HÀO D N, HIEN P M, SAHLI H. Stability results for a Cauchy problem for an elliptic equation[J]. Inverse Problems, 2007, 23(1):421-461. |
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