反问题参考书目反问题参书目.doc

References - books R. Kress, Linear Integral Equations, Springer-Verlag, New York,1992.  A. N. Tikhonov, V. Y. Arsenin, On the solution of ill-posed problems, John Wiley and Sons, New York, 1977.  H. W. Engl, E. Hanke and A. Neubauer, Regularization of inverse problem, Kluwer, Dordrecht, 1996. C. W. Groetsch, The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind, Pitman, Boston, 1984. C. W. Groetsch, Inverse problem in the Mathematical Sciences, Vieweg, Braunschweig, 1993. V. A. Morozov, Regularization Methods for Ill-Posed Problems, CRC Press,1993. A. N. Tikhonov, A. S. Leonov and A. G. Yagola, Nonlinear ill-posed problems, London , New York: Chapman Hall, 1998. O. M. Alifanov,?Inverse Heat Transfer Problems, Springer Verlag, 1994. A. Kirsch, An Introduction to the Mathematical Theory of Inverse Problem, Springer, 1996. C. Susanne, L. Brenner, S. Ridgway, The mathematical Theory of Finite Element Methods,?Springer-Verlag, New York, 1994. 苏???伟，《偏微分方程逆问题的数值方法及其应用》， M. A. Golberg, C. S. Chen, Discrete Projection Methods for Integral Equations, Computational Mechanics Publications, Southampton, 1997 V. Isakov,? Inverse Problems for Partial differential Equations, Springer-Verlag, New York, 1998. J. R. Cannon, The one-dimensional heat equation, Addison-Wesley Publishing Company, 1984. R. A. Adams, Sobolev spaces, Pure and Applied Mathematics, Vol. 65. Academic Press, New York-London, 1975. D. V. Widder, The heat equation, Academic Press, 1975. J. V. Beck, K. D. Cole, A. Haji-Sheikh, B. Litouhi, Heat conduction using Green’s functions, Hemisphere Publishing Corporation, 1992. D. Colton, Inverse acoustic and electromagnetic scattering theory, Springer-Verlag, 1992. D. L. Colton, Solution of boundary value problems by the methods of integral operators, Pitman Publishing, 1976. V. Isakov, Inverse Source Problem, AMS Providence, R. I., 1990. A. L. Bukhgeim, Introduction to the theory of inverse problem, VSP, 2000. G. Wahba, Sp