Blinking Rolls: Chaotic Advection in a Three-Dimensional Flow with an Invariant. - Paul Mullowney; Keith A. Julien; James D. Meiss (SIAM J. Appl. Dyn. Syst., 2005)

A new method for fast transforms in parity-mixed PDEs: Part I. Numerical techniques and analysis. - Geoffrey M. Vasil; Nicholas H. Brummell; Keith A. Julien (J. Comput. Phys., 2008)

A new method for fast transforms in parity-mixed PDEs: Part II. Application to confined rotating convection. - Geoffrey M. Vasil; Nicholas H. Brummell; Keith A. Julien (J. Comput. Phys., 2008)

Efficient multi-dimensional solution of PDEs using Chebyshev spectral methods. - Keith A. Julien; Mike Watson (J. Comput. Phys., 2009)

Linearly implicit methods for nonlinear PDEs with linear dispersion and dissipation. - Ian G. Grooms; Keith A. Julien (J. Comput. Phys., 2011)

A multiscale algorithm for simulating spatially-extended Langmuir circulation dynamics. - Ziemowit Malecha; Greg Chini; Keith A. Julien (J. Comput. Phys., 2014)

Hybrid Chebyshev function bases for sparse spectral methods in parity-mixed PDEs on an infinite domain. - Benjamin Miquel; Keith A. Julien (J. Comput. Phys., 2017)

Energy-conserving Galerkin approximations for quasigeostrophic dynamics. - Matthew Watwood; Ian G. Grooms; Keith A. Julien; K. Shafer Smith (J. Comput. Phys., 2019)

The fidelity of exponential and IMEX integrators for wave turbulence: Introduction of a new near-minimax integrating factor scheme. - Lucia Minah Yang; Ian G. Grooms; Keith A. Julien (J. Comput. Phys., 2021)

Corrigendum to "The fidelity of exponential and IMEX integrators for wave turbulence: Introduction of a new near-minimax integrating factor scheme" [J. Comput. Phys. 434 (2021) 109992]. - Lucia Minah Yang; Ian G. Grooms; Keith A. Julien (J. Comput. Phys., 2021)

Corner Cases of the Generalized Tau Method. - Keaton J. Burns; Daniel Fortunato; Keith A. Julien; Geoffrey M. Vasil (CoRR, 2022)

A gyroscopic polynomial basis in the sphere. - Abram C. Ellison; Keith A. Julien; Geoffrey M. Vasil (J. Comput. Phys., 2022)

Gyroscopic polynomials. - Abram C. Ellison; Keith A. Julien (J. Comput. Phys., 2023)