%0 Conference Paper %1 pop1996chebyshevgalerkin %A Pop, I. S. %A Gheorghiu, C. I. %B Approximation and Optimization: Proceedings of the International Conference on Approximation and Optimization (Romania) %C Cluj-Napoca %D 1996 %E Stancu, Dimitrie D. %I Transilvania Press %K 65l15-odes-eigenvalue-problems 65l60-odes-finite-elements-rayleigh-ritz-galerkin-and-collocation-methods 76e05-parallel-shear-flows %N 217-220 %T A Chebyshev–Galerkin method for fourth order problems %V II %X We propose an efficient implementation of the Chebyshev-Galerkin spectral method for differential equations of the fourth order with Dirichlet boundary conditions. This discretization leads to banded matrices which, compared with other methods of the same type, are better conditioned. The efficiency of the method is illustrated on an eigenvalue model problem, where an improved convergence can be observed and the spurious eigenvalues are removed.

@inproceedings{pop1996chebyshevgalerkin, abstract = {We propose an efficient implementation of the Chebyshev-Galerkin spectral method for differential equations of the fourth order with Dirichlet boundary conditions. This discretization leads to banded matrices which, compared with other methods of the same type, are better conditioned. The efficiency of the method is illustrated on an eigenvalue model problem, where an improved convergence can be observed and the spurious eigenvalues are removed.}, added-at = {2019-11-10T23:56:16.000+0100}, address = {Cluj-Napoca}, author = {Pop, I. S. and Gheorghiu, C. I.}, biburl = {https://www.bibsonomy.org/bibtex/2d306cb199da37b5fcf9757e3a09ee2b6/gdmcbain}, booktitle = {Approximation and Optimization: Proceedings of the International Conference on Approximation and Optimization (Romania)}, editor = {Stancu, Dimitrie D.}, eventdate = {29 July - 1 August}, interhash = {18cd462612dba75e930de9d39fbba45a}, intrahash = {d306cb199da37b5fcf9757e3a09ee2b6}, keywords = {65l15-odes-eigenvalue-problems 65l60-odes-finite-elements-rayleigh-ritz-galerkin-and-collocation-methods 76e05-parallel-shear-flows}, number = {217-220}, organization = {ICAOR}, publisher = {Transilvania Press}, timestamp = {2019-11-11T04:12:23.000+0100}, title = {A Chebyshev–Galerkin method for fourth order problems}, venue = {Cluj-Napoca}, volume = {II}, year = 1996 }