메뉴 건너뛰기




Volumn 50, Issue 8, 2012, Pages 2317-2337

Applications of haar basis method for solving some ill-posed inverse problems

Author keywords

Haar basis method; Ill posed inverse problems; Noisy data; Tikhonov regularization method

Indexed keywords


EID: 84861744852     PISSN: 02599791     EISSN: 15728897     Source Type: Journal    
DOI: 10.1007/s10910-012-0036-4     Document Type: Article
Times cited : (17)

References (30)
  • 1
    • 79951675925 scopus 로고    scopus 로고
    • Existence and uniqueness of solution for a two dimensional nonlinear inverse diffusion problem
    • M. Abtahi, R. Pourgholi, A. Shidfar, Existence and uniqueness of solution for a two dimensional nonlinear inverse diffusion problem. Nonlinear Anal. Theory Methods Appl. 74, 2462–2467 (2011)
    • (2011) Nonlinear Anal. Theory Methods Appl. , vol.74 , pp. 2462-2467
    • Abtahi, M.1    Pourgholi, R.2    Shidfar, A.3
  • 4
    • 0030295620 scopus 로고    scopus 로고
    • Comparison of some inverse heat conduction methods using experimental data
    • J.V. Beck, B. Blackwell, A. Haji-sheikh, Comparison of some inverse heat conduction methods using experimental data. Int. J. Heat Mass Transf. 3, 3649–3657 (1996)
    • (1996) Int. J. Heat Mass Transf , vol.3 , pp. 3649-3657
    • Beck, J.V.1    Blackwell, B.2    Haji-Sheikh, A.3
  • 5
    • 0022538926 scopus 로고
    • Combined function specification-regularization procedure for solution of inverse heat condition problem
    • J.V. Beck, D.C. Murio, Combined function specification-regularization procedure for solution of inverse heat condition problem. AIAA J. 24, 180–185 (1986)
    • (1986) AIAA J , vol.24 , pp. 180-185
    • Beck, J.V.1    Murio, D.C.2
  • 6
    • 12544259483 scopus 로고    scopus 로고
    • A sequential algorithm of inverse heat conduction problems using singular value decomposition
    • J.M.G. Cabeza, J.A.M. Garcia, A.C. Rodriguez, A sequential algorithm of inverse heat conduction problems using singular value decomposition. Int. J. Thermal Sci. 44, 235–244 (2005)
    • (2005) Int. J. Thermal Sci. , vol.44 , pp. 235-244
    • Cabeza, J.M.G.1    Garcia, J.A.M.2    Rodriguez, A.C.3
  • 7
    • 0030649749 scopus 로고    scopus 로고
    • Haar wavelet method for solving lumped and distributed-parameter systems
    • C.F. Chen, C.H. Hsiao, Haar wavelet method for solving lumped and distributed-parameter systems. IEE Proc. Part D 144(1), 87–94 (1997)
    • (1997) IEE Proc. Part D , vol.144 , Issue.1 , pp. 87-94
    • Chen, C.F.1    Hsiao, C.H.2
  • 8
    • 0002626762 scopus 로고
    • A note on the computation of the generalized cross-validation function for ill-conditioned least squares problems
    • L. Elden, A note on the computation of the generalized cross-validation function for ill-conditioned least squares problems. BIT 24, 467–472 (1984)
    • (1984) BIT , vol.24 , pp. 467-472
    • Elden, L.1
  • 9
    • 32044449925 scopus 로고
    • Generalized cross-validation as a method for choosing a good ridge parameter
    • G.H. Golub, M. Heath, G. Wahba, Generalized cross-validation as a method for choosing a good ridge parameter. Technometrics 21(2), 215–223 (1979)
    • (1979) Technometrics , vol.21 , Issue.2 , pp. 215-223
    • Golub, G.H.1    Heath, M.2    Wahba, G.3
  • 10
    • 0000570697 scopus 로고
    • Analysis of discrete ill-posed problems by means of the L-curve
    • P.C. Hansen, Analysis of discrete ill-posed problems by means of the L-curve. SIAM Rev. 34, 561–580 (1992)
    • (1992) SIAM Rev , vol.34 , pp. 561-580
    • Hansen, P.C.1
  • 11
    • 34250967631 scopus 로고
    • Zur theorie der orthogonalen Funktionsysteme
    • A. Haar, Zur theorie der orthogonalen Funktionsysteme. Math. Ann. 69, 331–371 (1910)
    • (1910) Math. Ann. , vol.69 , pp. 331-371
    • Haar, A.1
  • 12
    • 64849115449 scopus 로고    scopus 로고
    • Haar wavelet method for solving Fisher’s equation
    • G. Hariharan, K. Kannan, K.R. Sharma, Haar wavelet method for solving Fisher’s equation. Appl. Math. Comput. 211, 284–292 (2009)
    • (2009) Appl. Math. Comput. , vol.211 , pp. 284-292
    • Hariharan, G.1    Kannan, K.2    Sharma, K.R.3
  • 13
    • 0034857840 scopus 로고    scopus 로고
    • Haar wavelet approach to nonlinear stiff systems
    • C.H. Hsiao, W.J. Wang, Haar wavelet approach to nonlinear stiff systems. Math. Comput. Simul. 57, 347–353 (2001)
    • (2001) Math. Comput. Simul. , vol.57 , pp. 347-353
    • Hsiao, C.H.1    Wang, W.J.2
  • 14
    • 19944402928 scopus 로고    scopus 로고
    • A transient 3-D inverse problem in imaging the time- dependentlocal heat transfer coefficients for plate fin
    • C.-H. Huang, Y.-L. Tsai, A transient 3-D inverse problem in imaging the time- dependentlocal heat transfer coefficients for plate fin. Appl. Therm. Eng. 25, 2478–2495 (2005)
    • (2005) Appl. Therm. Eng. , vol.25 , pp. 2478-2495
    • Huang, C.-H.1    Tsai, Y.-L.2
  • 15
    • 0042326849 scopus 로고    scopus 로고
    • A nonlinear inverse problem in simultaneously estimating the heat and mass production rates for a chemically reacting fluid
    • C.-H. Huanga, C.-Y. Yeha, H.R.B. Orlande, A nonlinear inverse problem in simultaneously estimating the heat and mass production rates for a chemically reacting fluid. Chem. Eng. Sci. 58(16), 3741–3752 (2003)
    • (2003) Chem. Eng. Sci. , vol.58 , Issue.16 , pp. 3741-3752
    • Huanga, C.-H.1    Yeha, C.-Y.2    Orlande, H.R.B.3
  • 16
    • 34548235851 scopus 로고    scopus 로고
    • Haar wavelet method for the analysis of transistor circuits
    • R. Kalpana, B.S. Raja, Haar wavelet method for the analysis of transistor circuits. Int. J. Electron. Commun. (AEU) 61, 589–594 (2007)
    • (2007) Int. J. Electron. Commun. (AEU) , vol.61 , pp. 589-594
    • Kalpana, R.1    Raja, B.S.2
  • 18
    • 33746275681 scopus 로고    scopus 로고
    • Dual reciprocity boundary element method solution of the cauchy problem for Helmholtz-type equations with variable coefficients
    • L. Martin, L. Elliott, P.J. Heggs, D.B. Ingham, D. Lesnic, X. Wen, Dual reciprocity boundary element method solution of the cauchy problem for Helmholtz-type equations with variable coefficients. J. Sound Vib. 297, 89–105 (2006)
    • (2006) J. Sound Vib. , vol.297 , pp. 89-105
    • Martin, L.1    Elliott, L.2    Heggs, P.J.3    Ingham, D.B.4    Lesnic, D.5    Wen, X.6
  • 19
    • 49249126244 scopus 로고    scopus 로고
    • A numerical algorithm for solving a one-dimensional inverse heat conduction problem
    • H. Molhem, R. Pourgholi, A numerical algorithm for solving a one-dimensional inverse heat conduction problem. J. Math. Stat. 4(1), 60–63 (2008)
    • (2008) J. Math. Stat , vol.4 , Issue.1 , pp. 60-63
    • Molhem, H.1    Pourgholi, R.2
  • 21
    • 0024065871 scopus 로고
    • Combined mollification-future temperature procedure for solution of inverse heat conduction problem
    • D.C. Murio, J.R. Paloschi, Combined mollification-future temperature procedure for solution of inverse heat conduction problem. J. Comput. Appl. Math. 23, 235–244 (1988)
    • (1988) J. Comput. Appl. Math. , vol.23 , pp. 235-244
    • Murio, D.C.1    Paloschi, J.R.2
  • 23
    • 77950023260 scopus 로고    scopus 로고
    • A numerical technique for solving IHCPs using Tikhonov regularization method
    • R. Pourgholi, M. Rostamian, A numerical technique for solving IHCPs using Tikhonov regularization method. Appl. Math. Model. 34(8), 2102–2110 (2010)
    • (2010) Appl. Math. Model. , vol.34 , Issue.8 , pp. 2102-2110
    • Pourgholi, R.1    Rostamian, M.2
  • 24
    • 78650229314 scopus 로고    scopus 로고
    • A numerical method for solving a nonlinear inverse parabolic problem
    • R. Pourgholi, M. Rostamian, M. Emamjome, A numerical method for solving a nonlinear inverse parabolic problem. Inverse Probl. Sci. Eng. 18(8), 1151–1164 (2010)
    • (2010) Inverse Probl. Sci. Eng. , vol.18 , Issue.8 , pp. 1151-1164
    • Pourgholi, R.1    Rostamian, M.2    Emamjome, M.3
  • 25
    • 33846030815 scopus 로고    scopus 로고
    • An inverse estimation of surface temperature using the maximum entropy method
    • K.K. Sun, B.S Jung, W.L. Lee, An inverse estimation of surface temperature using the maximum entropy method. Int. Commun. Heat Mass Transf. 34, 37–44 (2007)
    • (2007) Int. Commun. Heat Mass Transf. , vol.34 , pp. 37-44
    • Sun, K.K.1    Jung, B.S.2    Lee, W.L.3
  • 26
    • 0001611275 scopus 로고    scopus 로고
    • Inverse heat conduction based on boundary measurement
    • M. Tadi, Inverse heat conduction based on boundary measurement. Inverse Probl. 13, 1585–1605 (1997)
    • (1997) Inverse Probl , vol.13 , pp. 1585-1605
    • Tadi, M.1
  • 30
    • 77955296854 scopus 로고    scopus 로고
    • Inverse heat conduction in a composite slab With pyrolysis effect and temperature-dependent thermophysical properties
    • J. Zhou, Y. Zhang, J.K. Chen, Z.C. Feng, Inverse heat conduction in a composite slab With pyrolysis effect and temperature-dependent thermophysical properties. J. Heat Transf. 132(3), 034502 (2010)
    • (2010) J. Heat Transf. , vol.132 , Issue.3
    • Zhou, J.1    Zhang, Y.2    Chen, J.K.3    Feng, Z.C.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.