Convection‐permitting simulations with the E3SM global atmosphere model PM Caldwell, CR Terai, B Hillman, ND Keen, P Bogenschutz, W Lin, ... Journal of Advances in Modeling Earth Systems 13 (11), e2021MS002544, 2021 | 82 | 2021 |
An energy consistent discretization of the nonhydrostatic equations in primitive variables MA Taylor, O Guba, A Steyer, PA Ullrich, DM Hall, C Eldred Journal of Advances in Modeling Earth Systems 12 (1), e2019MS001783, 2020 | 63 | 2020 |
Projected shadowing-based data assimilation B De Leeuw, S Dubinkina, J Frank, A Steyer, X Tu, EV Vleck SIAM Journal on Applied Dynamical Systems 17 (4), 2446-2477, 2018 | 23 | 2018 |
Evaluation of implicit‐explicit additive Runge‐Kutta integrators for the HOMME‐NH dynamical core CJ Vogl, A Steyer, DR Reynolds, PA Ullrich, CS Woodward Journal of Advances in Modeling Earth Systems 11 (12), 4228-4244, 2019 | 20 | 2019 |
Efficient IMEX Runge-Kutta methods for nonhydrostatic dynamics A Steyer, CJ Vogl, M Taylor, O Guba arXiv preprint arXiv:1906.07219, 2019 | 7 | 2019 |
Detecting transient rate-tipping using Steklov averages and Lyapunov vectors A Hoyer-Leitzel, A Nadeau, A Roberts, A Steyer arXiv preprint arXiv:1702.02955, 2017 | 7 | 2017 |
A step-size selection strategy for explicit Runge–Kutta methods based on Lyapunov exponent theory AJ Steyer, ES Van Vleck Journal of computational and applied mathematics 292, 703-719, 2016 | 7 | 2016 |
A framework to evaluate IMEX schemes for atmospheric models O Guba, MA Taylor, AM Bradley, PA Bosler, A Steyer Geoscientific Model Development 13 (12), 6467-6480, 2020 | 6 | 2020 |
A Lyapunov and Sacker–Sell spectral stability theory for one-step methods AJ Steyer, ES Van Vleck BIT Numerical Mathematics 58, 749-781, 2018 | 4 | 2018 |
Global error analysis and inertial manifold reduction YM Chung, A Steyer, M Tubbs, ES Van Vleck, M Vedantam Journal of Computational and Applied Mathematics 307, 204-215, 2016 | 3 | 2016 |
Underlying one-step methods and nonautonomous stability of general linear methods A Steyer, ES Van Vleck DCDS-B 23 (7), 2859- 2877, 2018 | 2 | 2018 |
Non-autonomous inertial manifold reduction YM Chung, AJ Steyer, ES Van Vleck arXiv preprint arXiv:1511.08946, 2015 | 2 | 2015 |
Connections between rate-induced tipping and nonautonomous stability theory A Hoyer-Leitzel, A Nadeau, A Roberts, A Steyer ArXiv 1, 1-22, 0 | 2 | |
A Lyapunov exponent based stability theory for ordinary differential equation initial value problem solvers AJ Steyer University of Kansas, 2016 | 1 | 2016 |
Convergence of the harmonic balance method for smooth Hilbert space valued differential-algebraic equations A Steyer, RJ Kuether arXiv preprint arXiv:2111.12620, 2021 | | 2021 |
A Lyapunov exponents based stability theory for ODE initial value problem solvers AJ Steyer, ES Van Vleck | | |