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Baigorria, G., Jones, J., Shin, D., Mishra, A., & Ingram, K. T., Jones, J. W., O'Brien, J. J., Roncoli, M. C., Fraisse, C., Breuer, N. E., Bartels, W.-L., Zierden, D. F., Letson, D. (2007). Assessing uncertainties in crop model simulations using daily bias-corrected Regional Circulation Model outputs. Clim. Res. , 34 , 211–222.
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Abstract: We explore the application of a pseudo-spectral Fourier method to a set of reaction-diffusion equations and compare it with a second-order finite difference method. The prototype cubic autocatalytic reaction-diffusion model as discussed by Gray and Scott [Chem. Eng. Sci. 42, 307 (1987)] with a nonequilibrium constraint is adopted. In a spatial resolution study we find that the phase speeds of one-dimensional finite amplitude waves converge more rapidly for the spectral method than for the finite difference method. Furthermore, in two dimensions the symmetry preserving properties of the spectral method are shown to be superior to those of the finite difference method. In studies of plane/axisymmetric nonlinear waves a symmetry breaking linear instability is shown to occur and is one possible route for the formation of patterns from infinitesimal perturbations to finite amplitude waves in this set of reaction-diffusion equations. (c) 1996 American Institute of Physics.
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Hanley, D. E., Jagtap, S., LaRow, T. E., Jones, J. W., Cocke, S., Zierden, D., et al. (2002). The linkage of regional climate models to crop models. In 3rd Symposium on Environmental Applications (pp. 134–139).
Zavala-Hidalgo, J., Morey, S. L., & O'Brien, J. J. (2002). On the formation and interaction of cyclonic eddies with the Loop Current using NCOM and a suite of observations. MTS/IEEE Oceans 2002 Proceedings , , 1463–1466.
