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Volumn 23, Issue 2-3, 2000, Pages 175-216

Nonlinear multiscale decompositions: The approach of A. Harten

Author keywords

Discretization; ENO interpolation; Multiscale decomposition; Reconstruction

Indexed keywords


EID: 0034423911     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1019104118012     Document Type: Article
Times cited : (123)

References (14)
  • 1
    • 0039969880 scopus 로고    scopus 로고
    • On the use of Mühlbach expansions in the recovery step of ENO methods
    • R. Abgrall and T. Sonar, On the use of Mühlbach expansions in the recovery step of ENO methods, Numer. Math. 76(1) (1997) 1-25.
    • (1997) Numer. Math. , vol.76 , Issue.1 , pp. 1-25
    • Abgrall, R.1    Sonar, T.2
  • 2
    • 0006512259 scopus 로고    scopus 로고
    • Tensor product multiresolution analysis with error control
    • Department de Matemàtica Aplicada, University of València
    • S. Amat, F. Aràndiga, A. Cohen and R. Donat, Tensor product multiresolution analysis with error control, Technical Report GrAN-99-4, Department de Matemàtica Aplicada, University of València (1999).
    • (1999) Technical Report GrAN-99-4
    • Amat, S.1    Aràndiga, F.2    Cohen, A.3    Donat, R.4
  • 3
    • 2042432638 scopus 로고    scopus 로고
    • Multiresolution based on weighted averages of the hat function I: Linear reconstruction operators
    • F. Aràndiga, R. Donat and A. Harten, Multiresolution based on weighted averages of the hat function I: Linear reconstruction operators, SIAM J. Numer. Anal. 36(1) (1999) 160-203.
    • (1999) SIAM J. Numer. Anal. , vol.36 , Issue.1 , pp. 160-203
    • Aràndiga, F.1    Donat, R.2    Harten, A.3
  • 4
    • 0032226443 scopus 로고    scopus 로고
    • Multiresolution based on weighted averages of the hat function II: Nonlinear reconstruction operators
    • F. Aràndiga, R. Donat and A. Harten, Multiresolution based on weighted averages of the hat function II: Nonlinear reconstruction operators, SIAM J. Sci. Comput. 20(3) (1999) 1053-1093.
    • (1999) SIAM J. Sci. Comput. , vol.20 , Issue.3 , pp. 1053-1093
    • Aràndiga, F.1    Donat, R.2    Harten, A.3
  • 5
  • 6
    • 0028446617 scopus 로고
    • Studies on error propagation for certain nonlinear approximations to hyperbolic equations: Discontinuities in derivative
    • R. Donat, Studies on error propagation for certain nonlinear approximations to hyperbolic equations: Discontinuities in derivative, SIAM J. Numer. Anal. 31 (1994) 655-679.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 655-679
    • Donat, R.1
  • 8
    • 0000999245 scopus 로고
    • ENO schemes with subcell resolution
    • A. Harten, ENO schemes with subcell resolution, J. Comput. Phys. 83 (1989) 148-184.
    • (1989) J. Comput. Phys. , vol.83 , pp. 148-184
    • Harten, A.1
  • 9
    • 44949266025 scopus 로고
    • Discrete multiresolution analysis and generalized wavelets
    • A. Harten, Discrete multiresolution analysis and generalized wavelets, J. Appl. Numer. Math. 12 (1993) 153-192.
    • (1993) J. Appl. Numer. Math. , vol.12 , pp. 153-192
    • Harten, A.1
  • 10
    • 0000917785 scopus 로고    scopus 로고
    • Multiresolution representation of data II: General framework
    • A. Harten, Multiresolution representation of data II: General framework, SIAM J. Numer. Anal. 33 (1996) 1205-1256.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1205-1256
    • Harten, A.1
  • 11
    • 33749725182 scopus 로고
    • Uniformly high order accurate essentially non-oscillatory schemes III
    • A. Harten, B. Engquist, S. Osher and S. Chakravarthy, Uniformly high order accurate essentially non-oscillatory schemes III, J. Comput. Phys. 71 (1987) 231-303.
    • (1987) J. Comput. Phys. , vol.71 , pp. 231-303
    • Harten, A.1    Engquist, B.2    Osher, S.3    Chakravarthy, S.4
  • 12
    • 0028485163 scopus 로고
    • Fast multiresolution algorithms for matrix-vector multiplication
    • A. Harten and I. Yad-Shalom, Fast multiresolution algorithms for matrix-vector multiplication, SIAM J. Numer. Anal. 371 (1994) 1191-1218.
    • (1994) SIAM J. Numer. Anal. , vol.371 , pp. 1191-1218
    • Harten, A.1    Yad-Shalom, I.2
  • 13
    • 30244489068 scopus 로고    scopus 로고
    • The lifting scheme: A customer-design construction of biorthogonal wavelets
    • W. Sweldens, The lifting scheme: a customer-design construction of biorthogonal wavelets, Appl. Comput. Harmon. Anal. 3(2) (1996) 186-200.
    • (1996) Appl. Comput. Harmon. Anal. , vol.3 , Issue.2 , pp. 186-200
    • Sweldens, W.1
  • 14
    • 0032388955 scopus 로고    scopus 로고
    • The lifting scheme: A construction of second generation wavelets
    • electronic
    • W. Sweldens, The lifting scheme: a construction of second generation wavelets, SIAM J. Math. Anal. 29(2) (1998) 511-546 (electronic).
    • (1998) SIAM J. Math. Anal. , vol.29 , Issue.2 , pp. 511-546
    • Sweldens, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.