Tensor calculus in polar coordinates using Jacobi polynomials. - Geoffrey M. Vasil; Keaton J. Burns; Daniel Lecoanet; Sheehan Olver; Benjamin P. Brown; Jeffrey S. Oishi (J. Comput. Phys., 2016)

Tensor calculus in spherical coordinates using Jacobi polynomials. Part-II: Implementation and examples. - Daniel Lecoanet; Geoffrey M. Vasil; Keaton J. Burns; Benjamin P. Brown; Jeffrey S. Oishi (J. Comput. Phys. X, 2019)

Tensor calculus in spherical coordinates using Jacobi polynomials. Part-I: Mathematical analysis and derivations. - Geoffrey M. Vasil; Daniel Lecoanet; Keaton J. Burns; Jeffrey S. Oishi; Benjamin P. Brown (J. Comput. Phys. X, 2019)

Improved phase-field models of melting and dissolution in multi-component flows. - Eric W. Hester; Louis-Alexandre Couston; Benjamin Favier; Keaton J. Burns; Geoffrey M. Vasil (CoRR, 2020)

Improving accuracy of volume penalised fluid-solid interactions. - Eric W. Hester; Geoffrey M. Vasil; Keaton J. Burns (J. Comput. Phys., 2021)

eigentools: A Python package for studying differential eigenvalue problems with an emphasis on robustness. - Jeffrey S. Oishi; Keaton J. Burns; Susan E. Clark; Evan H. Anders; Benjamin P. Brown; Geoffrey M. Vasil; Daniel Lecoanet (J. Open Source Softw., 2021)

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

Multiple scales analysis of a nonlinear timestepping instability in simulations of solitons. - Benjamin A. Hyatt; Daniel Lecoanet; Evan H. Anders; Keaton J. Burns (J. Comput. Phys., 2025)

Fast automated adjoints for spectral PDE solvers. - Calum S. Skene; Keaton J. Burns (CoRR, 2025)