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Papers in preparation/under review

Efficient Multi-dimensional Solution of PDEs using Chebyshev Spectral Methods (preprint), Julien, K. and M. G. Watson (submitted to the Journal of Computational Physics).

On the Utility of Fast Transforms in Parity-Mixed PDE's: Part I. Numerical Techniques and Analysis (preprint), Vasil, G., Julien, K. and N. H. Brummell (accepted to Journal of Computational Physics).

On the Utility of Fast Transforms in Parity-Mixed PDE's: Part II. Application to Confined Rotating Convection (preprint), Vasil, G., Julien, K. and N. H. Brummell (accepted to the Journal of Computational Physics).

Chaotic Advection in a Kupper's Lortz State
Mullowney, P., Julien, K. and J. D. Meiss (submitted to Chaos).

An Asymptotically Exact Reduced PDE Model for the Magnetorotational Instability: Derivation and
Numerical Simulations (preprint), Jamroz, B., Julien, K. and E. Knobloch (invited article submitted to Physica Scripta).

An Asymptotically Reduced Model of Langmuir Turbulence (preprint), Chini, G., K. Julien and E. Knobloch (invited article submitted to Geophysical and Astrophysical Fluid Dynamics).