A fully spectral method for hyperbolic equations

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 1, 1996, Pages 67-79

  Shukla, P ^a   Eswaran, V ^a   Bhallamudi, S Murthy ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Chebyshev collocation: Gaterkin collocation; Spectral method

Indexed keywords

FLUID FLOW; HYPERBOLIC EQUATIONS; MODELLING-MATHEMATICAL;

CHEBYSHEV APPROXIMATION; COMPUTATIONAL COMPLEXITY; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

CHEBYSHEV COLLOCATION TECHNIQUE; FULLY SPECTRAL DISCRETIZATION; GALERKIN COLLOCATION TECHNIQUE; HYPERBOLIC EQUATIONS; PREISSMANN SCHEME; UPWIND SCHEME;

NUMERICAL METHODS;

EID: 0029656716     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19960115)39:1<67::AID-NME851>3.0.CO;2-S     Document Type: Article

References (7)

1. C. Canuto, M. Y. Hussaini, A. Quarteroni and T. A. Zang. Spectral methods in incompressible viscous flows', AIAA Pap No. 81-0109, 1981.
2. Y. Morchoisne, 'Pseudo-spectral space-time calculations of incompressible viscous flows', AIAA Pap No 81-0109, 1981.
3. Y. Morchoisne, 'Inhomogeneous flow calculations by spectral methods: Mono-domain and multi-domain techniques', in Spectral Methods for Partial Differential Equations, SIAM-CBMS, Philadelphia, 1984.
4. H. Tal-Ezer, 'Spectral methods in time for hyperbolic equations', SI AM J. Numer. Anal., 23, 11-26(1986).
5. J. Sinha, V. Eswaran and S. M. Bhallamudi, 'Comparison of spectral and finite-difference methods for flood routing', J. Hydraulic Eng., 121(2), 108-117 (1995).
6. P. Shukla, 'A fully spectral method for hyperbolic equation', M. Tech. Thesis, Indian Institute of Technology, Kanpur, India.
7. M. H. Chaudhry, Open-Channel Flow, Prentice-HalL Englewood Cliffs, N.J.