A dynamical adaptive concept based on wavelet packet best bases: Application to convection diffusion partial differential equations

Wavelet Analysis and Its Applications

Volumn 6, Issue C, 1997, Pages 199-235

  Joly, Pascal ^a   Maday, Yvon ^b   Perrier, Valérie ^c  

^a SORBONNE UNIVERSITÉ   (France)

^b UNIVERSITÉ PARIS SACLAY   (France)

^c UNIVERSITÉ PARIS 13   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957764477     PISSN: 1874608X     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1874-608X(97)80007-6     Document Type: Chapter

References (14)

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3. Coifman R.R., Meyer Y., Quake S.R., and Wickerhauser M.V. Signal processing and compression with wavelet packets. In: Meyer Y., and Roques S. (Eds). Progress in Wavelet Analysis and Applications (1993), Editions Frontières, New York 77-93
4. Coifman R.R., Meyer Y., and Wickerhauser M.V. Size properties of the wavelet packets. In: Beylkin G., Coifman R.R., Daubechies I., Mallat S., Meyer Y., Raphael L.A., and Ruskai M.B. (Eds). Wavelets and Their Applications (1992), Jones and Bartlett, Paris 453-470
5. Danchin, R., Thèse de Doctorat de l'Université Paris VI, in preparation.
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8. Goirand, E., Paquets d'ondelettes: algorithmes et méthodes associées, parallélisation et applications à la turbulence, Thèse de Doctorat de l'Université Paris VI, in preparation.
9. Joly P., Maday Y., and Perrier V. Towards a method for solving partial differential equations by using wavelet packet bases. Comput. Methods Appl. Mech. Engrg. 116 (1994) 301-307
10. Liandrat J., Perrier V., and Tchamitchian P. Numerical resolution of nonlinear partial differential equations using the wavelet approach. In: Beylkin G., Coifman R.R., Daubechies I., Mallat S., Meyer Y., Raphael L.A., and Ruskai M.B. (Eds). Wavelets and Their Applications (1992), Jones and Bartlett, Cambridge, MA 227-238
11. Maday Y., Perrier V., and Ravel J.C. Adaptativité dynamique sur base d'ondelettes pour l'approximation d'équations aux dérivées partielles. C. R. Acad. Sci. Paris Sér. I Math. 312 (1991) 405-410
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13. Perrier V., and Basdevant C. Periodical wavelet analyses, a tool for inhomogeneous field investigation - theory and algorithms. Rech. Aérospat. 3 (1989) 53-67
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