Babeș-Bolyai University, Faculty of Mathematics and Informatics
Tiberiu Popoviciu Institute of Numerical Analysis
Chebyshev-Galerkin spectral method; differential eigenvalue problem
See the expanding block below.
I.S. Pop, C.I. Gheorghiu, A Chebyshev-Galerkin method for fourth order problems, Proceedings of ICAOR (International Conference on Approximation, Optimization – Romania), Cluj-Napoca, July-August 1996, vol. II, pp. 217-220.
Approximation and Optimization
 C. Canuto, M. Y. Hussaini, A. Quarteroni and T. A., Zhang, Spectral methods in fluid dynamics, Springer-Verlag, New York/Berlin, 1988.
 D. Funaro and W. Heinrichs, Some results about the pseudospectral approximation of one-dimensional fourt-order problems. Numer. Math. 58, 1990, 1399-418.
 W. Heinrichs, A stabilized treatment of the biharmonic operator with spectral methods, SIAM J. Sci. Stat. Comput. 12, 1991, 1162-1172.
 M. Heigemann, Chebyshev matrix operator method for the solution of integrated forms of linear ordinary differential equations, Acta Mech (to appear).
 W. Huang and D.M. Sloan, The pseudospectral method for solving differential eigenvalue problems,J. Comput. Phys. 111, 1994, 399-409.
 S. A. Orszag, Accurate solution of the Orr-Sommerfeld stability equations, J. Fluid Mech. 50, 1971, 689-703.
 J. Shen, Efficient spectral-Galerkin method II. Direct solvers of second and fourth order equations by using Chebyshev polynomials, SIAM J. Sci. Stat. Comput. 16, 1995, 74-8