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Volumn 44, Issue 6, 2007, Pages 1281-1290

On three spectral regularization methods for a backward heat conduction problem

Author keywords

Backward heat conduction; Error estimate; Inverse problems; Spectral regularization method

Indexed keywords


EID: 36049002848     PISSN: 03049914     EISSN: None     Source Type: Journal    
DOI: 10.4134/JKMS.2007.44.6.1281     Document Type: Article
Times cited : (14)

References (17)
  • 1
    • 0032384591 scopus 로고    scopus 로고
    • A comparison of regularizations for an ill-posed problem
    • K. A. Ames, G. W. Clark, J. F. Epperson, and S. F. Oppenhermer, A comparison of regularizations for an ill-posed problem, Math. Comp. 67 (1998), no. 224, 1451-1471.
    • (1998) Math. Comp , vol.67 , Issue.224 , pp. 1451-1471
    • Ames, K.A.1    Clark, G.W.2    Epperson, J.F.3    Oppenhermer, S.F.4
  • 2
    • 0034505550 scopus 로고    scopus 로고
    • Wavelet and Fourier methods for solving the sideways heat equation
    • L. Eldén, F. Berntsson, and T. Regińska, Wavelet and Fourier methods for solving the sideways heat equation, SIAM J. Sci. Comput. 21 (2000), no. 6, 2187-2205.
    • (2000) SIAM J. Sci. Comput , vol.21 , Issue.6 , pp. 2187-2205
    • Eldén, L.1    Berntsson, F.2    Regińska, T.3
  • 4
    • 0003448545 scopus 로고    scopus 로고
    • Graduate Studies in Mathematics 19, American Mathematical Society, Providence, RI
    • L. C. Evans, Partial differential equations, Graduate Studies in Mathematics 19, American Mathematical Society, Providence, RI, 1998.
    • (1998) Partial differential equations
    • Evans, L.C.1
  • 5
    • 21844517892 scopus 로고
    • A mollification method for ill-posed problems
    • D. N. Hào, A mollification method for ill-posed problems, Numer. Math. 68 (1994), no. 4, 469-506.
    • (1994) Numer. Math , vol.68 , Issue.4 , pp. 469-506
    • Hào, D.N.1
  • 6
    • 0034187252 scopus 로고    scopus 로고
    • Regularization of exponentially ill-posed problems
    • T. Hohage, Regularization of exponentially ill-posed problems, Numer. Funct. Anal. Optim. 21 (2000), no. 3-4, 439-464.
    • (2000) Numer. Funct. Anal. Optim , vol.21 , Issue.3-4 , pp. 439-464
    • Hohage, T.1
  • 7
    • 0036697675 scopus 로고    scopus 로고
    • An iterative algorithm for the backward heat conduction problem based on variable relaxtion factors
    • M. Jourhmane and N. S. Mera, An iterative algorithm for the backward heat conduction problem based on variable relaxtion factors, Inverse Probl. Sci. Eng. 10 (2002), no. 4, 293-308.
    • (2002) Inverse Probl. Sci. Eng , vol.10 , Issue.4 , pp. 293-308
    • Jourhmane, M.1    Mera, N.S.2
  • 8
    • 0344514171 scopus 로고    scopus 로고
    • Solution of inverse diffusion problems by operator-splitting methods
    • S. M. Kirkup and M. Wadsworth, Solution of inverse diffusion problems by operator-splitting methods, Applied Mathematical Modelling 26 (2002), no. 10, 1003-1018.
    • (2002) Applied Mathematical Modelling , vol.26 , Issue.10 , pp. 1003-1018
    • Kirkup, S.M.1    Wadsworth, M.2
  • 10
    • 0038339461 scopus 로고    scopus 로고
    • Geometry of ill-posed problems in variable Hilbert Scales
    • P. Mathé and S. Pereverzev, Geometry of ill-posed problems in variable Hilbert Scales, Inverse Problems 19 (2003), 789-803.
    • (2003) Inverse Problems , vol.19 , pp. 789-803
    • Mathé, P.1    Pereverzev, S.2
  • 11
    • 0034744604 scopus 로고    scopus 로고
    • An iterative boundary element method for solving the one-dimensional backward heat conduction problem
    • N. S. Mera, L. Elliott, D. B. Ingham, and D. Lesnic, An iterative boundary element method for solving the one-dimensional backward heat conduction problem, International Journal of Heat and Mass Transfer 44 (2001), no. 10, 1937-1946.
    • (2001) International Journal of Heat and Mass Transfer , vol.44 , Issue.10 , pp. 1937-1946
    • Mera, N.S.1    Elliott, L.2    Ingham, D.B.3    Lesnic, D.4
  • 12
    • 12344271462 scopus 로고    scopus 로고
    • The method of fundamental solutions for the backward heat conduction problem
    • N. S. Mera, The method of fundamental solutions for the backward heat conduction problem, Inverse Probl. Sci. Eng. 13 (2005), no. 1, 65-78.
    • (2005) Inverse Probl. Sci. Eng , vol.13 , Issue.1 , pp. 65-78
    • Mera, N.S.1
  • 13
    • 0040225041 scopus 로고
    • Stabilized quasi-reversibility and other nearly-best-possible methods for non-well-posed problems
    • Symposium on Non-Well-Posed Problems and Logarithmic Convexity Heriot-Watt Univ, Edinburgh, Springer, Berlin
    • K. Miller, Stabilized quasi-reversibility and other nearly-best-possible methods for non-well-posed problems, Symposium on Non-Well-Posed Problems and Logarithmic Convexity (Heriot-Watt Univ., Edinburgh, 1972), pp. 161-176. Lecture Notes in Math., Vol. 316, Springer, Berlin, 1973.
    • (1972) Lecture Notes in Math , vol.316 , pp. 161-176
    • Miller, K.1
  • 14
    • 0039633096 scopus 로고
    • The final value problem for evolution equations
    • R. E. Showalter, The final value problem for evolution equations, J. Math. Anal. Appl. 47 (1974), 563-572.
    • (1974) J. Math. Anal. Appl , vol.47 , pp. 563-572
    • Showalter, R.E.1
  • 15
    • 0011911816 scopus 로고    scopus 로고
    • Optimal stable approximations for the sideways heat equation
    • U. Tautenhahn, Optimal stable approximations for the sideways heat equation, J. Inverse Ill-Posed Probl. 5 (1997), no. 3, 287-307.
    • (1997) J. Inverse Ill-Posed Probl , vol.5 , Issue.3 , pp. 287-307
    • Tautenhahn, U.1
  • 16
    • 0032047113 scopus 로고    scopus 로고
    • Optimality for ill-posed problems under general source conditions
    • _, Optimality for ill-posed problems under general source conditions, Numer. Funct. Anal. Optim. 19 (1998), no. 3-4, 377-398.
    • (1998) Numer. Funct. Anal. Optim , vol.19 , Issue.3-4 , pp. 377-398
    • Tautenhahn, U.1
  • 17
    • 21344467387 scopus 로고    scopus 로고
    • On optimal regularization methods for the backward heat equation
    • U. Tautenhahn and T. Schröter, On optimal regularization methods for the backward heat equation, Z. Anal. Anwendungen 15 (1996), no. 2, 475-493.
    • (1996) Z. Anal. Anwendungen , vol.15 , Issue.2 , pp. 475-493
    • Tautenhahn, U.1    Schröter, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.