Control of Burgers equation by means of mode reduction

International Journal of Engineering Science

Volumn 38, Issue 7, 2000, Pages 785-805

  Park, H M ^a   Jang, Y D ^a  

^a Sogang University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; GALERKIN METHODS; MATHEMATICAL MODELS; OPTIMIZATION; ORDINARY DIFFERENTIAL EQUATIONS;

BURGERS EQUATION; CONJUGATE GRADIENT METHOD; KARHUNEN-LOEVE DECOMPOSITION; OBJECTIVE FUNCTIONS;

PROBLEM SOLVING;

EID: 0033906352     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7225(99)00044-0     Document Type: Article

References (7)

1. Goldberg Z.A. Finite-amplitude waves in magnetohydrodynamics. Sov. Phys.-JETP. 15:1962;179-181.
2. Bouchaud J.P., Máezard M., Parisi G. Scaling and intermittency in burgers turbulence. Phys. Rev. E. 52(4):1995;3656-3674.
3. Park H.M., Cho D.H. The use of the Karhunen-Loève decomposition for the modeling of distributed parameter systems. Chem. Eng. Sci. 51(1):1996;81-98.
4. M. Loève, Probability Theory, Van Nostrand, Princeton, NJ.
5. R. Courant, D. Hilbert, Methods of Mathematical Physics, vol. 1., Wiley-Interscience, New York, 1962.
6. Dean E.J., Gubernatis P. Pointwise control of Burgers equation - a numerical approach. Computers Math. Appl. 22(7):1991;93-100.
7. Fletcher R., Reeves R.M. Function minimization by conjugate gradients. Computer J. 7:1964;149-160.