Multidimensional characteristic galerkin methods for hyperbolic systems

Mathematical Methods in the Applied Sciences

Volumn 20, Issue 13, 1997, Pages 1111-1125

  Ostkamp, S ^a,b  

^a GERMAN AEROSPACE CENTER DLR   (Germany)

^b UNIVERSITY OF HAMBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ERRORS; GAS DYNAMICS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS;

CHARACTERISTIC GALERKIN METHODS; EULER EQUATIONS; HYPERBOLIC SYSTEMS; SEMIGROUP THEORY; WAVE EQUATION;

NUMERICAL METHODS;

EID: 0031236008     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(19970910)20:13<1111::AID-MMA903>3.0.CO;2-1     Document Type: Article

References (9)

1. Childs, P. N., 'The characteristic Galerkin method for hyperbolic conservation laws', Ph.D. Thesis, Oxford University, 1988.
2. Childs, P. N., and Morton, K. W., Characteristic Galerkin methods for scalar conservation laws in one dimension', SIAM J. Num. Anal., 27, No. 3, 553-594 (1990).
3. Deconinck, H., Struijs, R. and Roe, P. L., Fluctuation splitting schemes for the 2D Euler equations, Preprint 1991-11/AR, Von Karrman Institute, Belgium, 1991.
4. Fey, M., Ein echt mehrdimensionales Verfahren zur Lösung der Eulergleichungen,' Dissertation, ETH Zürich, 1992.
5. Lin, P., Morton, K. W. and Süli, E., Characteristic Galerkin schemes for scalar conservation laws in two space dimensions I: formulation, Report no. 92/1, Oxford University, 1992.
6. Ostkamp, S., 'Multidimensional methods for the Euler equations', IB 221-93 A 24, DLR Göttingen, 1993.
7. Ostkamp, S., Multidimensional characteristic Galerkin methods, in: Numerical Methods for Fluid Dynamics, (K. W. Morton and M. J. Baines, eds.), Oxford University Press, Oxford, 1995.
8. Ostkamp, S., Multidimensional characteristic Galerkin schemes and evolution operators for hyperbolic systems, Ph.D. Thesis, University of Hannover, Germany, and FB 95-20, DLR Göttingen.
9. Roe, P. L., 'Discrete modeles for the numerical analysisof time-dependent multidimensional gas dynamics', J. Comp. Phys., 63, 458-476.