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Volumn 140, Issue 2, 1998, Pages 278-310

Multiscale Computation with Interpolating Wavelets

Author keywords

Autocorrelation function; Electronic structure; Interpolating scaling function; Interpolating wavelet; Interpolets; Lda; Multiscale computation; Nonstandard multiplication; Wavelets

Indexed keywords

AUTOCORRELATION; INTERPOLATION; POISSON EQUATION; WAVELET ANALYSIS;

EID: 0000104702     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.5885     Document Type: Article
Times cited : (37)

References (28)
  • 1
    • 85189852271 scopus 로고    scopus 로고
    • Multiresolution analysis of electronic structure: Semicardinal and orthogonal wavelet bases
    • T. A. Arias, Multiresolution analysis of electronic structure: Semicardinal and orthogonal wavelet bases, Rev. Modern Phys.
    • Rev. Modern Phys.
    • Arias, T.A.1
  • 3
    • 0002228719 scopus 로고    scopus 로고
    • A wavelet collocation method for the numerical solution of partial differential equations
    • Bertoluzza S., Naldi G. A wavelet collocation method for the numerical solution of partial differential equations. Appl. Comput. Harmonic Anal. 3:1996;1.
    • (1996) Appl. Comput. Harmonic Anal. , vol.3 , pp. 1
    • Bertoluzza, S.1    Naldi, G.2
  • 6
    • 0031116623 scopus 로고    scopus 로고
    • On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases
    • Beylkin G., Keiser J. M. On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases. Journal of Computational Physics. 132:1997;233.
    • (1997) Journal of Computational Physics , vol.132 , pp. 233
    • Beylkin, G.1    Keiser, J.M.2
  • 7
    • 0009179175 scopus 로고
    • Wavelets, their autocorrelation functions, and multiresolution representation of signals
    • Beylkin G., Saito N. Wavelets, their autocorrelation functions, and multiresolution representation of signals. Proceedings ICASSP-92. 4:1992;381.
    • (1992) Proceedings ICASSP-92 , vol.4 , pp. 381
    • Beylkin, G.1    Saito, N.2
  • 8
    • 0027874676 scopus 로고
    • Multiresolution representations using the auto-correlation functions of compactly supported wavelets
    • Beylkin G., Saito N. Multiresolution representations using the auto-correlation functions of compactly supported wavelets. IEEE Trans. Signal Process. 41:1993;3584.
    • (1993) IEEE Trans. Signal Process. , vol.41 , pp. 3584
    • Beylkin, G.1    Saito, N.2
  • 12
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • Daubechies I. Orthonormal bases of compactly supported wavelets. J. Comm. Pure App. Math. 41:1988;909.
    • (1988) J. Comm. Pure App. Math. , vol.41 , pp. 909
    • Daubechies, I.1
  • 14
    • 34249975165 scopus 로고
    • Symmetric iterative interpolation processes
    • Deslauriers G., Dubuc S. Symmetric iterative interpolation processes. Constr. Approx. 5:1989;49.
    • (1989) Constr. Approx. , vol.5 , pp. 49
    • Deslauriers, G.1    Dubuc, S.2
  • 16
    • 0022663198 scopus 로고
    • Interpolation through and iterative scheme
    • Dubuc S. Interpolation through and iterative scheme. J. Math. Anal. Appl. 114:1986;185.
    • (1986) J. Math. Anal. Appl. , vol.114 , pp. 185
    • Dubuc, S.1
  • 17
    • 0000112084 scopus 로고
    • An adaptive wavelet galerkin algorithm for one- And two-dimensional flames
    • Frohlich J., Schneider K. An adaptive wavelet galerkin algorithm for one- and two-dimensional flames. Comput. Eur. J. Mech. 13:1994;439.
    • (1994) Comput. Eur. J. Mech. , vol.13 , pp. 439
    • Frohlich, J.1    Schneider, K.2
  • 19
    • 10644250257 scopus 로고
    • Inhomogeneous electron gas
    • Hohenberg P., Kohn W. Inhomogeneous electron gas. Phys. Rev. B. 136:1964;864.
    • (1964) Phys. Rev. B , vol.136 , pp. 864
    • Hohenberg, P.1    Kohn, W.2
  • 20
    • 0042113153 scopus 로고
    • Self-consistent equations including exchange and correlation effects
    • Kohn W., Sham L. J. Self-consistent equations including exchange and correlation effects. Phys. Rev. A. 140:1965;1133.
    • (1965) Phys. Rev. a , vol.140 , pp. 1133
    • Kohn, W.1    Sham, L.J.2
  • 26
    • 0000291516 scopus 로고    scopus 로고
    • Orthonormal wavelet bases for quantum molecular dynamics
    • Tymczak C. J., Wang Xiao-Qian. Orthonormal wavelet bases for quantum molecular dynamics. Physical Rev. Lett. 78:1997;3654.
    • (1997) Physical Rev. Lett. , vol.78 , pp. 3654
    • Tymczak, C.J.1    Wang Xiao-Qian2
  • 27
    • 7444231074 scopus 로고    scopus 로고
    • Wavelets in self-consistent electronic structure calculations
    • Wei S., Chou M. Y. Wavelets in self-consistent electronic structure calculations. Phys. Rev. Lett. 76:1996;2650.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 2650
    • Wei, S.1    Chou, M.Y.2
  • 28
    • 85189851343 scopus 로고    scopus 로고
    • Synthesis of wavelet theory with the multigrid algorithm
    • MIT
    • D. Yeşilleten, T. A. Arias, Synthesis of wavelet theory with the multigrid algorithm, Condensed Matter Physics, MIT, 1996.
    • (1996) Condensed Matter Physics
    • Yeşilleten, D.1    Arias, T.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.