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Volumn 22, Issue 3, 2006, Pages 975-989

Approximate solution of a Cauchy problem for the Helmholtz equation

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; INVERSE PROBLEMS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; PROBLEM SOLVING;

EID: 33744543954     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/22/3/015     Document Type: Article
Times cited : (83)

References (14)
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  • 4
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    • Conditional stability for an inverse Neuman boundary problem
    • 10.1080/00036810310001620081 0003-6811
    • Cheng J, Hon Y and Yamamoto M 2004 Conditional stability for an inverse Neuman boundary problem Appl. Anal. 83 49-62
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    • Cheng, J.1    Hon, Y.2    Yamamoto, M.3
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    • The detection of surface vibrations from interior acoustical pressure
    • 0266-5611 302
    • DeLillo T, Isakov V, Valdivia N and Wang L 2003 The detection of surface vibrations from interior acoustical pressure Inverse Problems 19 507-24
    • (2003) Inverse Problems , vol.19 , Issue.3 , pp. 507-524
    • Delillo, T.1    Isakov, V.2    Valdivia, N.3    Wang, L.4
  • 6
    • 0034505550 scopus 로고    scopus 로고
    • Wavelet and Fourier methods for solving the sideways heat equation
    • Eldén L, Berntsson F and Regińska T Wavelet and Fourier methods for solving the sideways heat equation SIAM J. Sci. Comput. 21 2187-205
    • SIAM J. Sci. Comput. , vol.21 , pp. 2187-2205
    • Eldén, L.1    Berntsson, F.2    Regińska, T.3
  • 7
    • 0041691885 scopus 로고    scopus 로고
    • Some stability estimates for Cauchy problems for elliptic equations
    • Han H and Reinhardt H-J 1997 Some stability estimates for Cauchy problems for elliptic equations J. Inv. Ill-Posed Problems 5 437-54
    • (1997) J. Inv. Ill-Posed Problems , vol.5 , pp. 437-454
    • Han, H.1    Reinhardt, H.-J.2
  • 8
    • 3042528735 scopus 로고    scopus 로고
    • Increased stability in the continuation of solutions to the Helmholtz equation
    • 0266-5611 004
    • Hrycak T and Isakov V 2004 Increased stability in the continuation of solutions to the Helmholtz equation Inverse Problems 20 697-712
    • (2004) Inverse Problems , vol.20 , Issue.3 , pp. 697-712
    • Hrycak, T.1    Isakov, V.2
  • 11
    • 17444366822 scopus 로고    scopus 로고
    • An initial value approach to the inverse Helmholtz problem at fixed frequency
    • Natterer F 1997 An initial value approach to the inverse Helmholtz problem at fixed frequency Proc. Conf. in Oberwolfach (Wien: Springer) pp 159-67
    • (1997) Proc. Conf. in Oberwolfach , pp. 159-167
    • Natterer, F.1
  • 12
    • 0001189418 scopus 로고    scopus 로고
    • Stability and regularization of a discrete approximation to the Cauchy problem for Laplace's equation
    • 10.1137/S0036142997316955 0036-1429
    • Reinhardt H-J, Han H and Ho D N 1998 Stability and regularization of a discrete approximation to the Cauchy problem for Laplace's equation SIAM J. Numer. Anal. 36 890-905
    • (1998) SIAM J. Numer. Anal. , vol.36 , Issue.3 , pp. 890-905
    • Reinhardt, H.-J.1    Han, H.2    Ho, D.N.3
  • 13
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    • Siegman A 1986 Lasers (Oxford: Oxford University Press)
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  • 14
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    • Optimal stable solution of Cauchy problems for elliptic equations
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    • Tautenhahn U 1996 Optimal stable solution of Cauchy problems for elliptic equations J. Anal. Appl. 15 961-84
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    • Tautenhahn, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.