Numerical Algo Thms Based on Biorthogonal Wavelets

@inproceedings{Ponenti1996NumericalAT,
  title={Numerical Algo Thms Based on Biorthogonal Wavelets},
  author={Pj. Ponenti and Jacques Liandrat},
  year={1996}
}
Wavelet bases are used to generate spaces of approximation for the resolution of bidimensional elliptic and parabolic problems. Under some specific hypotheses relating the properties of the wavelets to the order of the involved operators, it is shown that an approximate solution can be built. This approximation is then stable and converges towards the exact solution. It is designed such that fast algorithms involving biorthogonal multi resolution analyses can be used to resolve the… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 10 references

On wavelet based algorithms for solving differential equations

  • G. Beylkin
  • Wavelets, Mathematics and Applications,
  • 1995

Spectral and finite difference solution of the Burgers equation On wavelet based algorithms for solving differential equations

  • C. Canuto, A. Quarteroni
  • Wavelets , Mathematics and Applications
  • 1995

Algorithmes en Ondelettes pour la R b o h t i o n d’Epuations aut Dbive‘es Partielles

  • Pj. Ponenti
  • PhD thesis, UniversitC d’Aix-Marseille I, Centre…
  • 1994

Inversion de certains opCrateurs elliptiques B coefficients variables

  • P. Tchamitchian
  • Preprint LAPT,
  • 1993

Wavelet methods for fast resolution of elliptic problems

  • S. Jaffard
  • SIAM Journal on Numerical Analysis,
  • 1992

Introduction h l ' analyse nume ' rique des e ' quations aux de ' rive ' es partielles

  • Thomas P. A. Raviart
  • 1990

La dCcomposition en ondelettes pkriodiques, un outil pour l'analyse de champs inhomogCnes

  • V. Perrier, C. Basdevant
  • thkorie et algorithmes. la Recherche Ae…
  • 1989

Ondelettes B localisation exponentielles

  • P. G. LemariC
  • Journ.de Math. Pures et Appl,
  • 1989

Spectral and finite difference solution of the Burgers equation

  • C. Basdevant, M. Deville, P. Haldenwang, J. M. Lacroix, J. Ouazzani, R. Peyret
  • Computers and Fluids,
  • 1986

Raviart. Introduction h l'analyse nume'rique des e'quations aux de'rive'es partielles

  • P.A.J.M. Thomas
  • 1983

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