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Volumn 24, Issue 6, 2008, Pages

A simple regularization method for stable analytic continuation

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC CONTINUATIONS; ANALYTIC FUNCTIONS; ERROR ESTIMATES; EXACT SOLUTIONS; FOURIER REGULARIZATION METHODS; ILL-POSED; NUMERICAL EXAMPLES; REGULARIZATION METHODS;

EID: 62649165850     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/24/6/065003     Document Type: Article
Times cited : (39)

References (13)
  • 2
    • 33144473725 scopus 로고
    • Analytic continuation by the fast Fourier transform
    • Franklin J 1990 Analytic continuation by the fast Fourier transform SIAM J. Sci. Stat. Comput. 11 112-22
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , Issue.1 , pp. 112-122
    • Franklin, J.1
  • 3
    • 6144235279 scopus 로고
    • On the stable analytic continuation with a condition of uniform boundedness
    • Sabba Stefanescu I 1986 On the stable analytic continuation with a condition of uniform boundedness J. Math. Phys. 27 2657-86
    • (1986) J. Math. Phys. , vol.27 , Issue.11 , pp. 2657-2686
    • Sabba Stefanescu, I.1
  • 4
    • 85026086470 scopus 로고    scopus 로고
    • The ground-penetrating radar problem, III
    • Ramm A G 2000 The ground-penetrating radar problem, III J. Inverse Ill-posed Probl. 8 23-30
    • (2000) J. Inverse Ill-posed Probl. , vol.8 , Issue.1 , pp. 23-30
    • Ramm, A.G.1
  • 5
    • 62649126495 scopus 로고    scopus 로고
    • Stable analytic continuation by mollification and the fast Fourier transform
    • Ho D N and Shali H 2004 Stable analytic continuation by mollification and the fast Fourier transform Method of Complex and Clifford Analysis Proc. of ICAM (Hanoi 2004) pp 143-52
    • (2004) Method of Complex and Clifford Analysis Proc. of ICAM , pp. 143-152
    • Ho, D.N.1    Shali, H.2
  • 7
    • 0034662548 scopus 로고    scopus 로고
    • Numerical inversion of the Laplace transform from the real axis
    • Airapetyan R G and Ramm A G 2000 Numerical inversion of the Laplace transform from the real axis J. Math. Anal. Appl. 248 572-87
    • (2000) J. Math. Anal. Appl. , vol.248 , Issue.2 , pp. 572-587
    • Airapetyan, R.G.1    Ramm, A.G.2
  • 8
    • 0034505550 scopus 로고    scopus 로고
    • Wavelet and Fourier methods for solving the sideways heat equation
    • Eldén L, Berntsson F and Regińska T 2000 Wavelet and Fourier methods for solving the sideways heat equation SIAM J. Sci. Comput. 21 2187-205
    • (2000) SIAM J. Sci. Comput. , vol.21 , Issue.6 , pp. 2187-2205
    • Eldén, L.1    Berntsson, F.2    Regińska, T.3
  • 9
    • 2442703875 scopus 로고    scopus 로고
    • Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
    • Fu C L 2004 Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation J. Comp. Appl. Math. 167 449-63
    • (2004) J. Comp. Appl. Math. , vol.167 , Issue.2 , pp. 449-463
    • Fu, C.L.1
  • 10
    • 34249736896 scopus 로고    scopus 로고
    • Regularization strategies for a two-dimensional inverse heat conduction problem
    • Qian Z and Fu C L 2007 Regularization strategies for a two-dimensional inverse heat conduction problem Inverse Problems 23 1053-68
    • (2007) Inverse Problems , vol.23 , Issue.3 , pp. 1053-1068
    • Qian, Z.1    Fu, C.L.2
  • 11
    • 33744543954 scopus 로고    scopus 로고
    • Approximate solution of a Cauchy problem for the Helmholtz equation
    • Regińska T and Regiński K 2006 Approximate solution of a Cauchy problem for the Helmholtz equation Inverse problems 22 975-89
    • (2006) Inverse Problems , vol.22 , Issue.3 , pp. 975-989
    • Regińska, T.1    Regiński, K.2
  • 13
    • 0032047113 scopus 로고    scopus 로고
    • Optimality for ill-posed problems under general source conditions
    • Tautanhahn U 1998 Optimality for ill-posed problems under general source conditions Numer. Funct. Anal. Optim. 19 377-98
    • (1998) Numer. Funct. Anal. Optim. , vol.19 , Issue.3 , pp. 377-398
    • Tautanhahn, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.