Wavelet regularization for an inverse heat conduction problem

Journal of Mathematical Analysis and Applications

Volumn 288, Issue 1, 2003, Pages 212-222

  Fu, Chu Li ^a   Zhu, You Bin ^a   Qiu, Chun Yu ^a  

^a LANZHOU UNIVERSITY   (China)

Author keywords

Ill posed problem; Inverse heat conduction problem; Meyer wavelets; Regularization

Indexed keywords

EID: 0348163861     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2003.08.003     Document Type: Article

References (8)

1. J.V. Beck, B. Blackwell, S.R. Clair, Inverse Heat Conduction Ill-Posed Problems, Wiley, New York, 1985.
2. A.S. Carasso, Determining surface temperatures from interior observations, SIAM J. Appl. Math. 42 (1982) 558-574.
3. T. Regińska, Sideways heat equation and wavelets, J. Comput. Appl. Math. 63 (1995) 209-214.
4. C.L. Fu, C.Y. Qiu, Y.B. Zhu, Further result of sideways heat equation and wavelets, Adv. Math. (China) 30 (2001) 275-276.
5. S.S. Liu, S.D. Liu, B.K. Tan, Nonlinear Atmospheric Dynamics, National Defence Industrial Press, Beijing, 1996.
6. J.V. Beck, Nonlinear estimation applied to the nonlinear inverse heat conduction problem, Int. J. Heat Mass Transfer. 13 (1970) 703-716.
7. L. Eldén, F. Berntsson, T. Regińska, Wavelets and Fourier methods for solving the sideways heat equation, SIAM J. Sci. Comput. 21 (2000) 2187-2205.
8. I. Daubechies, Ten Lectures on Wavelets, in: CBMS-NSF Regional Conference Series in Applied Mathematics SIAM, Philadelphia, 1992.