On the Chebyshev penalty method for parabolic and hyperbolic equations

Lucia Dettori; Baolin Yang

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1996)

  • Volume: 30, Issue: 7, page 907-920
  • ISSN: 0764-583X

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Dettori, Lucia, and Yang, Baolin. "On the Chebyshev penalty method for parabolic and hyperbolic equations." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 30.7 (1996): 907-920. <http://eudml.org/doc/193828>.

@article{Dettori1996,
author = {Dettori, Lucia, Yang, Baolin},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {numerical examples; pseudospectral Chebyshev discretization; Chebyshev penalty method; hyperbolic equations; parabolic equation; stability; Maxwell equation},
language = {eng},
number = {7},
pages = {907-920},
publisher = {Dunod},
title = {On the Chebyshev penalty method for parabolic and hyperbolic equations},
url = {http://eudml.org/doc/193828},
volume = {30},
year = {1996},
}

TY - JOUR
AU - Dettori, Lucia
AU - Yang, Baolin
TI - On the Chebyshev penalty method for parabolic and hyperbolic equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1996
PB - Dunod
VL - 30
IS - 7
SP - 907
EP - 920
LA - eng
KW - numerical examples; pseudospectral Chebyshev discretization; Chebyshev penalty method; hyperbolic equations; parabolic equation; stability; Maxwell equation
UR - http://eudml.org/doc/193828
ER -

References

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  1. [1] D. GOTTLIEB, M. Y. HUSSAINI and S. A. ORZAG, 1984, Theory and application of spectral methods, in : R. VOIGT, D. GOTTLIEB and M. Y. HUSSAINI, ds., Spectral Methods for Partial Differential Equations (SIAM-CBMS, Philadelphia, PA, 1984, pp. 1-94. Zbl0599.65079MR758261
  2. [2] D. FUNARO, 1992, Polynomial approximation of differential equations, Springer-Verlag. Zbl0774.41010MR1176949
  3. [3] D. FUNARO, 1988, Domain decomposition methods for pseudospectral approximations. Part One : Second order equations in one dimension, Numr. Math., 52, pp. 329-344. Zbl0637.65077MR929576
  4. [4] C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI and T. A. ZANG, 1988, Spectral Methods in Fluid Dynamics, Springer-Verlag. Zbl0658.76001MR917480
  5. [5] W. S. DON and D. GOTTLIEB, 1994, The Chebyshev-Legendre method : implementing Legendre methods on Chebyshev points, SIAM J. Numer. Anal., 6, pp. 1519-1534. Zbl0815.65106MR1302673
  6. [6] D. FUNARO and D. GOTTLIEB, 1988, A new method of imposing boundary conditions for hyperbohc equations, Math. Comp., 51, pp. 599-613. Zbl0699.65079MR958637
  7. [7] D. FUNARO and D. GOTTLIEB, 1991, Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment, Math. Comp., 57, pp. 585-596. Zbl0736.65074MR1094950

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