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Volumn 36, Issue 2-3, 2001, Pages 333-358

Fully adaptive wavelet algorithm for parabolic partial differential equations

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE ALGORITHMS; APPROXIMATION THEORY; LINEAR EQUATIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; STATE SPACE METHODS;

EID: 0035254011     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(00)00016-7     Document Type: Article
Times cited : (23)

References (19)
  • 2
  • 3
    • 0031116623 scopus 로고    scopus 로고
    • On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases
    • Beylkin G., Keiser J. On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases. J. Comput. Phys. 132:(2):1997;233-259.
    • (1997) J. Comput. Phys. , vol.132 , Issue.2 , pp. 233-259
    • Beylkin, G.1    Keiser, J.2
  • 4
    • 0000557924 scopus 로고    scopus 로고
    • A pseudo-wavelet scheme for the two-dimensional Navier-Stokes equation
    • Charton P., Perrier V. A pseudo-wavelet scheme for the two-dimensional Navier-Stokes equation. Mat. Apl. Comput. 15:1996.
    • (1996) Mat. Apl. Comput. , vol.15
    • Charton, P.1    Perrier, V.2
  • 5
    • 0008511318 scopus 로고    scopus 로고
    • Algorithmes adaptatifs en ondelettes pour la résolution d'équations aux dérivées partielles
    • Marseille: Université d'Aix-Marseille II, Institut de Recherche sur les Phénomènes Hors Equilibre
    • Chiavassa G. Algorithmes adaptatifs en ondelettes pour la résolution d'équations aux dérivées partielles. Ph.D. Thesis. June 1997;Université d'Aix-Marseille II, Institut de Recherche sur les Phénomènes Hors Equilibre, Marseille.
    • (1997) Ph.D. Thesis
    • Chiavassa, G.1
  • 6
    • 0007458919 scopus 로고    scopus 로고
    • On the effective construction of compactly supported wavelets satisfying homogeneous boundary conditions on the interval
    • Chiavassa G., Liandrat J. On the effective construction of compactly supported wavelets satisfying homogeneous boundary conditions on the interval. Appl. Comput. Harmon. Anal. (4):1997;1-12.
    • (1997) Appl. Comput. Harmon. Anal. , Issue.4 , pp. 1-12
    • Chiavassa, G.1    Liandrat, J.2
  • 7
    • 85011480386 scopus 로고    scopus 로고
    • Wavelet and multiscale methods for operator equations
    • Dahmen W. Wavelet and multiscale methods for operator equations. Acta Numer. 1997;55-228.
    • (1997) Acta Numer. , pp. 55-228
    • Dahmen, W.1
  • 9
    • 0014563596 scopus 로고
    • Fourier analysis of the finite element method in Ritz-Galerkin theory
    • Fix G., Strang G. Fourier analysis of the finite element method in Ritz-Galerkin theory. Stud. Appl. Math. 48:1969;265-273.
    • (1969) Stud. Appl. Math. , vol.48 , pp. 265-273
    • Fix, G.1    Strang, G.2
  • 10
    • 0000021026 scopus 로고    scopus 로고
    • Numerical simulation of decaying turbulence in an adaptive wavelet basis
    • Fröhlich J., Schneider K. Numerical simulation of decaying turbulence in an adaptive wavelet basis. Appl. Comput. Harmon. Anal. 3:1996;393-397.
    • (1996) Appl. Comput. Harmon. Anal. , vol.3 , pp. 393-397
    • Fröhlich, J.1    Schneider, K.2
  • 12
    • 0001636694 scopus 로고
    • Ondelettes à localisation exponentielles
    • Lemarié P.G. Ondelettes à localisation exponentielles. J. Math. Pures Appl. 1989.
    • (1989) J. Math. Pures Appl.
    • Lemarié, P.G.1
  • 14
    • 22044448166 scopus 로고    scopus 로고
    • On the fast approximation of some nonlinear operators in adapted wavelet spaces
    • Liandrat J., Tchamitchian Ph. On the fast approximation of some nonlinear operators in adapted wavelet spaces. Adv. Comput. Math. 8:1998;179-192.
    • (1998) Adv. Comput. Math. , vol.8 , pp. 179-192
    • Liandrat, J.1    Tchamitchian, Ph.2
  • 15
    • 84966210236 scopus 로고
    • Multiresolution approximation and wavelets
    • Mallat S. Multiresolution approximation and wavelets. Trans Amer. Math. Soc. 315:1989;69-88.
    • (1989) Trans Amer. Math. Soc. , vol.315 , pp. 69-88
    • Mallat, S.1
  • 19
    • 85031526341 scopus 로고    scopus 로고
    • Marseille: Université d'Aix-Marseille I, Institut de Recherche sur les Phénomènes Hors Equilibre
    • Vorloeper J. Ph.D. Thesis (in progress). 1999;Université d'Aix-Marseille I, Institut de Recherche sur les Phénomènes Hors Equilibre, Marseille.
    • (1999) Ph.D. Thesis (In Progress)
    • Vorloeper, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.