baer, crook, dur-e-ahmad, and jackiewicz, (2009 ...chris/apm52615/buscagliap3.pdf · baer, crook,...
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Baer, Crook, Dur-e-Ahmad, and Jackiewicz, (2009) “Numerical solution of calcium-mediated dendritic branch model”, J Comp Appl Math.
Spectral Collocation
2nd-Order Chebyshev Differentiation Matrices have well developed algorithms.
C. Canuto, M.Y. Hussaini, A. Quarteroni, T.A. Zang, Spectral Methods in Fluid Mechanics, Springer Verlag, New York, 1988.
L.N. Trefethen, Spectral Methods in Matlab, SIAM, Philadelphia, 2000.
Conclusions• Spectral collocation using Chebyshev-Gauss-
Lobatto nodes has been applied to the Ca2+-mediated dendritic branch model• Collocation requires less points to achieve the
same numerical accuracy as finite difference methods.
• The same numerical accuracy can be achieve with an order of magnitude less computational time.