메뉴 건너뛰기




Volumn 5, Issue 3, 1997, Pages 287-307

Optimal stable approximations for the sideways heat equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0011911816     PISSN: 09280219     EISSN: None     Source Type: Journal    
DOI: 10.1515/jiip.1997.5.3.287     Document Type: Article
Times cited : (76)

References (22)
  • 3
    • 0001840812 scopus 로고
    • Regularization methods for the stable solution of inverse problems.
    • H.W. Engl, Regularization methods for the stable solution of inverse problems. Surv. Math. Ind. (1993) 3, No. 2, 71–143.
    • (1993) Surv. Math. Ind. , vol.3 , Issue.2 , pp. 71-143
    • Engl, H.W.1
  • 5
    • 0001273835 scopus 로고
    • Regularization methods for large-scale problems.
    • M. Hanke and P. C. Hansen, Regularization methods for large-scale problems. Surv. Math. Ind. (1993) 3, No. 4, 253–315.
    • (1993) Surv. Math. Ind. , vol.3 , Issue.4 , pp. 253-315
    • Hanke, M.1    Hansen, P.C.2
  • 6
    • 21844517892 scopus 로고
    • A mollification method for ill-posed problems.
    • D. N. Hao, A mollification method for ill-posed problems. Numer. Math. (1994) 68, No. 4, 469–506.
    • (1994) Numer. Math. , vol.68 , Issue.4 , pp. 469-506
    • Hao, D.N.1
  • 12
    • 4243091943 scopus 로고
    • Tikhonov regularization for finitely and infinitely smoothing operators.
    • B. A. Mair, Tikhonov regularization for finitely and infinitely smoothing operators. SIAM J. Math. Anal. (1994) 25, No.1, 135–147.
    • (1994) SIAM J. Math. Anal. , vol.25 , Issue.1 , pp. 135-147
    • Mair, B.A.1
  • 13
    • 4644254767 scopus 로고
    • On the approximate solution of ill-posed Cauchy problems for parabolic differential equations.
    • (Eds. G. Anger, R. Gorenflo, H. Jochmann, H. Moritz and W. Webers), Math. Res., Akademie-Verlag, Berlin
    • H.-J. Reinhardt and F. Seiffarth, On the approximate solution of ill-posed Cauchy problems for parabolic differential equations. In: Inverse Problems: Principles and Applications in Geophysics, Technology and Medicine (Eds. G. Anger, R. Gorenflo, H. Jochmann, H. Moritz and W. Webers), Math. Res., Vol. 74, Akademie-Verlag, Berlin, 1993, 284–298.
    • (1993) In: Inverse Problems: Principles and Applications in Geophysics, Technology and Medicine , pp. 284-298
    • Reinhardt, H.-J.1    Seiffarth, F.2
  • 14
    • 1542428806 scopus 로고
    • On the optimality of regularization methods for solving Ünear ill-posed problems.
    • T. Schröter and U. Tautenhahn, On the optimality of regularization methods for solving Ünear ill-posed problems. Z. Anal. Anw. (1994) 13, No. 4, 697–710.
    • (1994) Z. Anal. Anw. , vol.13 , Issue.4 , pp. 697-710
    • Schröter, T.1    Tautenhahn, U.2
  • 15
    • 0343738846 scopus 로고
    • “Optimal filtering” for some ill-posed problems.
    • (Eds. W. Fitzgibbon and M. Wheeler), SIAM, Philadelphia
    • T.I. Seidman, “Optimal filtering” for some ill-posed problems. In: Wave Propagation and Inversion (Eds. W. Fitzgibbon and M. Wheeler), SIAM, Philadelphia, 1992, 108–123.
    • (1992) In: Wave Propagation and Inversion , pp. 108-123
    • Seidman, T.I.1
  • 16
    • 0003339688 scopus 로고
    • An “optimal filtering” method for the sideways heat equation.
    • T.I. Seidman and L. Eiden, An “optimal filtering” method for the sideways heat equation. Inverse Problems (1990) 6, No. 4, 681–696.
    • (1990) Inverse Problems , vol.6 , Issue.4 , pp. 681-696
    • Seidman, T.I.1    Eiden, L.2
  • 17
    • 85026063914 scopus 로고    scopus 로고
    • Optimality for linear ill-posed problems under general source conditions.
    • Techn. Univ. Chemnitz-Zwickau
    • U. Tautenhahn, Optimality for linear ill-posed problems under general source conditions. Preprint IP 05, Techn. Univ. Chemnitz-Zwickau, 1996.
    • (1996) Preprint IP 05
    • Tautenhahn, U.1
  • 18
    • 21444446911 scopus 로고    scopus 로고
    • Optimal stable solution of Cauchy problems for elliptic equations.
    • U. Tautenhahn, Optimal stable solution of Cauchy problems for elliptic equations. Z. Anal. Anw. (1996) 15, No.4, 961–984.
    • (1996) Z. Anal. Anw. , vol.15 , Issue.4 , pp. 961-984
    • Tautenhahn, U.1
  • 19
    • 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. Anw. (1996) 15, No. 2, 475–493.
    • (1996) Z. Anal. Anw. , vol.15 , Issue.2 , pp. 475-493
    • Tautenhahn, U.1    Schröter, T.2
  • 21
    • 0000528870 scopus 로고
    • On the optimality of methods for ill-posed problems.
    • G.M. Vainikko, On the optimality of methods for ill-posed problems. Z. Anal. Anw. (1987) 6, No.4, 351–362.
    • (1987) Z. Anal. Anw. , vol.6 , Issue.4 , pp. 351-362
    • Vainikko, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.