On the construction of arbitrary order schemes for the many dimensional wave equation

BIT Numerical Mathematics

Volumn 36, Issue 1, 1996, Pages 158-165

  Tuomela, Jukka ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

High order schemes; Wave equation

Indexed keywords

EID: 0040429372     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01740552     Document Type: Article

References (13)

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2. G. Boole, A treatise on the calculus of finite differences, Dover, 1960.
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7. xx and the rational approximations to cosh(μz), SIAM J. Numer. Anal. 26 (1989), pp. 338-347.
8. P. Sguazzero, A. Parisi, A. Kamel, and A. Vesnaver, Implementation of some explicit dispersion-bounded staggered schemes for the numerical integration of the elastodynamic equations. In Mathematical and Numerical Aspects of Wave Propagation Phenomena, G. Cohen, L. Halpern, and P. Joly, eds., SIAM, 1991, pp. 35-43.
9. G. R. Shubin and J. B. Bell, A modified equation approach to constructing fourth order methods for acoustic wave propagation, SIAM J. Sci. Stat. Comp. 8 (1987), pp. 135-151.
10. J. Tuomela, Analyse de certains problèmes liés à la résolution numérique des équations aux dérivées partielles hyperboliques linéaires, Ph.D. thesis, Université Paris 7, 1992.
11. J. Tuomela, Fourth order schemes for wave equation. Maxwell equations and linearized elastodynamic equations, Numerical methods for PDEs 10 (1994), pp. 33-63.
12. J. Tuomela, On the construction of arbitrary order schemes for many dimensional wave equation, Research Report A336, Helsinki University of Technology, 1994.
13. J. Tuomela A note on high order schemes for the one dimensional wave equation, BIT 35 (1995), pp. 394-405.