Hermite pseudospectral method for nonlinear partial differential equations

Ben-Yu Guo; Cheng-Long Xu

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2000)

  • Volume: 34, Issue: 4, page 859-872
  • ISSN: 0764-583X

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Guo, Ben-Yu, and Xu, Cheng-Long. "Hermite pseudospectral method for nonlinear partial differential equations." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 34.4 (2000): 859-872. <http://eudml.org/doc/194016>.

@article{Guo2000,
author = {Guo, Ben-Yu, Xu, Cheng-Long},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Hermite polynomial interpolation; pseudospectral method; Burgers equation; stability; convergence; numerical results},
language = {eng},
number = {4},
pages = {859-872},
publisher = {Dunod},
title = {Hermite pseudospectral method for nonlinear partial differential equations},
url = {http://eudml.org/doc/194016},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Guo, Ben-Yu
AU - Xu, Cheng-Long
TI - Hermite pseudospectral method for nonlinear partial differential equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2000
PB - Dunod
VL - 34
IS - 4
SP - 859
EP - 872
LA - eng
KW - Hermite polynomial interpolation; pseudospectral method; Burgers equation; stability; convergence; numerical results
UR - http://eudml.org/doc/194016
ER -

References

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  12. [12] D. S. Lubinsky and F. Moricz, The weighted Lp-norm of orthogonal polynormal of Freud weights. J. Approx. Theory 77 (1994) 42-50. Zbl0801.42018MR1273698
  13. [13] Y. Maday, B. Pernaud-Thomas and H. Vandeven, Une réhabilitation des méthodes spectrales de type Laguerre. Rech. Aérospat. 6 (1985) 353-379. Zbl0604.42026MR850680
  14. [14] R. D. Richitmeyer and K. W. Morton, Finite Difference Methods for Initial Value Problems, 2nd ed., Interscience, New York (1967). Zbl0155.47502
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