Spectral approximations for characteristic roots of delay differential equations
CP Vyasarayani, S Subhash, T Kalmár-Nagy - International Journal of …, 2014 - Springer
CP Vyasarayani, S Subhash, T Kalmár-Nagy
International Journal of Dynamics and Control, 2014•SpringerIn this paper we develop approximations to the characteristic roots of delay differential
equations using the spectral tau and spectral least squares approach. We study the
influence of different choices of basis functions in the spectral solution on the numerical
convergence of the characteristic roots. We found that the spectral tau method performed
better than the spectral least squares method. Legendre and Chebyshev bases provide
much better convergence properties than the mixed Fourier basis.
equations using the spectral tau and spectral least squares approach. We study the
influence of different choices of basis functions in the spectral solution on the numerical
convergence of the characteristic roots. We found that the spectral tau method performed
better than the spectral least squares method. Legendre and Chebyshev bases provide
much better convergence properties than the mixed Fourier basis.
Abstract
In this paper we develop approximations to the characteristic roots of delay differential equations using the spectral tau and spectral least squares approach. We study the influence of different choices of basis functions in the spectral solution on the numerical convergence of the characteristic roots. We found that the spectral tau method performed better than the spectral least squares method. Legendre and Chebyshev bases provide much better convergence properties than the mixed Fourier basis.
Springer
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