Hybrid Multigrid/Schwarz Algorithms for the Spectral Element Method. - James W. Lottes; Paul F. Fischer (J. Sci. Comput., 2005)

A spectrally accurate method for overlapping grid solution of incompressible Navier-Stokes equations. - Brandon E. Merrill; Yulia T. Peet; Paul F. Fischer; James W. Lottes (J. Comput. Phys., 2016)

Sensitivity Analysis in the Dupire Local Volatility Model with Tensorflow. - Francois Belletti; Davis King 002; James Lottes; Yi-Fan Chen; John R. Anderson (CoRR, 2020)

Neural Ideal Large Eddy Simulation: Modeling Turbulence with Neural Stochastic Differential Equations. - Anudhyan Boral; Zhong Yi Wan; Leonardo Zepeda-Núñez; James Lottes; Qing Wang 032; Yi-Fan Chen; John Anderson; Fei Sha (NeurIPS, 2023)

Neural Ideal Large Eddy Simulation: Modeling Turbulence with Neural Stochastic Differential Equations. - Anudhyan Boral; Zhong Yi Wan; Leonardo Zepeda-Núñez; James Lottes; Qing Wang 032; Yi-Fan Chen; John Robert Anderson; Fei Sha (CoRR, 2023)

Neural General Circulation Models. - Dmitrii Kochkov; Janni Yuval; Ian Langmore; Peter C. Norgaard; Jamie A. Smith; Griffin Mooers; James Lottes; Stephan Rasp 001; Peter D. Düben; Milan Klöwer; Sam Hatfield; Peter W. Battaglia; et al. (CoRR, 2023)

Optimal polynomial smoothers for multigrid V-cycles. - James Lottes (Numer. Linear Algebra Appl., 2023)

Fast Approximate Determinants Using Rational Functions. - Thomas Colthurst; Srinivas Vasudevan; James Lottes; Brian Patton (CoRR, 2024)

Neural general circulation models for weather and climate. - Dmitrii Kochkov; Janni Yuval; Ian Langmore; Peter C. Norgaard; Jamie A. Smith; Griffin Mooers; Milan Klöwer; James Lottes; Stephan Rasp 001; Peter D. Düben; Sam Hatfield; Peter W. Battaglia; et al. (Nat., 2024)

General Field Evaluation in High-Order Meshes on GPUs. - Ketan Mittal; Aditya Parik; Som Dutta; Paul F. Fischer; Tzanio V. Kolev; James Lottes (CoRR, 2025)