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Volumn 312, Issue 1, 2005, Pages 121-137

Numerical differentiation for two-dimensional scattered data

Author keywords

Green's function; Numerical differentiation

Indexed keywords


EID: 27644587566     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.03.025     Document Type: Article
Times cited : (29)

References (22)
  • 3
    • 17444395843 scopus 로고    scopus 로고
    • A numerical method for the discontinuous solutions of Abel integral equations
    • J. Cheng Y.C. Hon Y.B. Wang A numerical method for the discontinuous solutions of Abel integral equations Contemp. Math. 348 2004 233-243
    • (2004) Contemp. Math. , vol.348 , pp. 233-243
    • Cheng, J.1    Hon, Y.C.2    Wang, Y.B.3
  • 4
    • 0002430792 scopus 로고    scopus 로고
    • One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
    • J. Cheng M. Yamamoto One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization Inverse Problems 16 2000 31-38
    • (2000) Inverse Problems , vol.16 , pp. 31-38
    • Cheng, J.1    Yamamoto, M.2
  • 7
    • 0003368014 scopus 로고
    • The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind
    • Boston, MA: Pitman Advanced Publishing Program
    • C.W. Groetsch The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind Res. Notes Math. vol. 105 1984 Pitman Advanced Publishing Program Boston, MA
    • (1984) Res. Notes Math. , vol.105
    • Groetsch, C.W.1
  • 8
    • 0002954682 scopus 로고
    • Differentiation of approximately specified functions
    • C.W. Groetsch Differentiation of approximately specified functions Amer. Math. Monthly 98 1991 847-850
    • (1991) Amer. Math. Monthly , vol.98 , pp. 847-850
    • Groetsch, C.W.1
  • 9
    • 0032397673 scopus 로고    scopus 로고
    • Lanczo's generalized derivative
    • C.W. Groetsch Lanczo's generalized derivative Amer. Math. Monthly 105 1998 320-326
    • (1998) Amer. Math. Monthly , vol.105 , pp. 320-326
    • Groetsch, C.W.1
  • 10
    • 0026908848 scopus 로고
    • Optimal order of accuracy in Vasin's method for differentiation of noisy functions
    • C.W. Groetsch Optimal order of accuracy in Vasin's method for differentiation of noisy functions J. Optim. Theory Appl. 74 1992 373-378
    • (1992) J. Optim. Theory Appl. , vol.74 , pp. 373-378
    • Groetsch, C.W.1
  • 11
    • 0011570832 scopus 로고
    • The optimal order of convergence for stable evaluation of differential operators
    • C.W. Groetsch O. Scherzer The optimal order of convergence for stable evaluation of differential operators Electron. J. Differential Equations 1993 1993 1-10
    • (1993) Electron. J. Differential Equations , vol.1993 , pp. 1-10
    • Groetsch, C.W.1    Scherzer, O.2
  • 12
    • 0035374241 scopus 로고    scopus 로고
    • Inverse problems light: Numerical differentiation
    • M. Hanke O. Scherzer Inverse problems light: Numerical differentiation Amer. Math. Monthly 108 2001 512-521
    • (2001) Amer. Math. Monthly , vol.108 , pp. 512-521
    • Hanke, M.1    Scherzer, O.2
  • 13
    • 27644499635 scopus 로고    scopus 로고
    • A numerical differentiation method for edge detection
    • preprint, City University of Hong Kong, Hong Kong
    • Y.C. Hon, Y.B. Wang, J. Cheng, A numerical differentiation method for edge detection, preprint, City University of Hong Kong, Hong Kong, 2003
    • (2003)
    • Hon, Y.C.1    Wang, Y.B.2    Cheng, J.3
  • 14
    • 0018999755 scopus 로고
    • Regularization with differential operators. I. General theory
    • J. Locker P.M. Prenter Regularization with differential operators. I. General theory J. Math. Anal. Appl. 74 1980 504-529
    • (1980) J. Math. Anal. Appl. , vol.74 , pp. 504-529
    • Locker, J.1    Prenter, P.M.2
  • 15
    • 0042265842 scopus 로고
    • Regularization with differential operators. II. Weak least squares finite element solutions to first kind integral equations
    • J. Locker P.M. Prenter Regularization with differential operators. II. Weak least squares finite element solutions to first kind integral equations SIAM J. Numer. Anal. 17 1980 247-267
    • (1980) SIAM J. Numer. Anal. , vol.17 , pp. 247-267
    • Locker, J.1    Prenter, P.M.2
  • 17
    • 0023168656 scopus 로고
    • Automatic numerical differentiation by discrete mollification
    • D.A. Murio Automatic numerical differentiation by discrete mollification Comput. Math. Appl. 13 1987 381-386
    • (1987) Comput. Math. Appl. , vol.13 , pp. 381-386
    • Murio, D.A.1
  • 18
    • 0035592056 scopus 로고    scopus 로고
    • On stable numerical differentiation
    • A.G. Ramm A.B. Smirnova On stable numerical differentiation Math. Comp. 70 2001 1131-1153
    • (2001) Math. Comp. , vol.70 , pp. 1131-1153
    • Ramm, A.G.1    Smirnova, A.B.2
  • 20
    • 0039400879 scopus 로고
    • The stable evaluation of a derivative in the space C(-∞,∞)
    • V.V. Vasin The stable evaluation of a derivative in the space C(-∞,∞) USSR Comput. Math. Math. Phys. 13 1973 16-24
    • (1973) USSR Comput. Math. Math. Phys. , vol.13 , pp. 16-24
    • Vasin, V.V.1
  • 21
    • 0036905596 scopus 로고    scopus 로고
    • A numerical differentiation method and its application to reconstruction of discontinuity
    • Y.B. Wang X.Z. Jia J. Cheng A numerical differentiation method and its application to reconstruction of discontinuity Inverse Problems 18 2002 1461-1476
    • (2002) Inverse Problems , vol.18 , pp. 1461-1476
    • Wang, Y.B.1    Jia, X.Z.2    Cheng, J.3
  • 22
    • 17444367366 scopus 로고    scopus 로고
    • Reconstruction of numerical derivatives from scattered noisy data
    • T. Wei Y.C. Hon Y.B. Wang Reconstruction of numerical derivatives from scattered noisy data Inverse Problems 21 2005 657-672
    • (2005) Inverse Problems , vol.21 , pp. 657-672
    • Wei, T.1    Hon, Y.C.2    Wang, Y.B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.