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Volumn 33, Issue 1, 1996, Pages 162-170

Optimal filtering for the backward heat equation

Author keywords

Backward heat equation; Error estimates; Filtering; Ill posed; Partial differential equation

Indexed keywords


EID: 0012951987     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/0733010     Document Type: Article
Times cited : (56)

References (12)
  • 1
    • 0000425575 scopus 로고
    • Some convergence estimates for Galerkin type approximations for parabolic equations
    • J. H. BRAMBLE, A. H. SCHATZ, V. THOMÉE, AND L. B. WAHLBIN, Some convergence estimates for Galerkin type approximations for parabolic equations, SIAM J. Numer. Anal., 14 (1977), pp. 218-241.
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 218-241
    • Bramble, J.H.1    Schatz, A.H.2    Thomée, V.3    Wahlbin, L.B.4
  • 2
    • 1542451419 scopus 로고
    • personal communications also referring Chap. 4, Society for Industrial and Applied Mathematics, Philadelphia, PA
    • J. DEMMEL AND J. DONGARRA, personal communications (also referring to LAPACK User's Guide, Chap. 4, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1992).
    • (1992) LAPACK User's Guide
    • Demmel, J.1    Dongarra, J.2
  • 4
    • 84980073634 scopus 로고
    • Continuous dependence on data for solutions with a prescribed bound
    • F. JOHN, Continuous dependence on data for solutions with a prescribed bound, Comm. Pure Appl. Math., 13 (1960), pp. 551-585.
    • (1960) Comm. Pure Appl. Math. , vol.13 , pp. 551-585
    • John, F.1
  • 7
    • 0002916720 scopus 로고
    • On stabilizing ill-posed problems against errors in geometry and modeling
    • H. W. Engl and C. W. Groetsch, eds., Academic Press, Orlando
    • _, On stabilizing ill-posed problems against errors in geometry and modeling, in Inverse and Ill-Posed Problems, H. W. Engl and C. W. Groetsch, eds., Academic Press, Orlando, 1987.
    • (1987) Inverse and Ill-Posed Problems
  • 9
    • 0343738846 scopus 로고
    • "Optimal Filtering" for some ill-posed problems
    • W. Fitzgibbon and M. Wheeler, eds., Society for Industrial and Applied Mathematics
    • T. I. SEIDMAN, "Optimal Filtering" for some ill-posed problems, in Wave Propagation and Inversion, W. Fitzgibbon and M. Wheeler, eds., Society for Industrial and Applied Mathematics, 1992, pp. 108-123.
    • (1992) Wave Propagation and Inversion , pp. 108-123
    • Seidman, T.I.1
  • 10
    • 0003339688 scopus 로고
    • An "Optimal Filtering" method for the sideways heat equation
    • T. I. SEIDMAN AND L. ELDÉN, An "Optimal Filtering" method for the sideways heat equation, Inverse Problems, 6 (1990), pp. 681-696.
    • (1990) Inverse Problems , vol.6 , pp. 681-696
    • Seidman, T.I.1    Eldén, L.2
  • 11
    • 0003747496 scopus 로고
    • Galerkin Finite Element Methods for Parabolic Problems
    • Springer, New York
    • V. THOMÉE, Galerkin Finite Element Methods for Parabolic Problems, Lecture Notes in Mathematics 1054, Springer, New York, 1984.
    • (1984) Lecture Notes in Mathematics 1054
    • Thomée, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.