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2020 – today
- 2025
[j7]Zijie Li, Saurabh Patil, Francis Ogoke, Dule Shu, Wilson Zhen, Michael Schneier, John R. Buchanan Jr., Amir Barati Farimani:
Latent neural PDE solver: A reduced-order modeling framework for partial differential equations. J. Comput. Phys. 524: 113705 (2025)- 2024
- [i9]Zijie Li, Saurabh Patil, Francis Ogoke, Dule Shu, Wilson Zhen, Michael Schneier, John R. Buchanan Jr., Amir Barati Farimani:
Latent Neural PDE Solver: a reduced-order modelling framework for partial differential equations. CoRR abs/2402.17853 (2024) - [i8]Anthony Y. Zhou, Zijie Li, Michael Schneier, John R. Buchanan Jr., Amir Barati Farimani:
Text2PDE: Latent Diffusion Models for Accessible Physics Simulation. CoRR abs/2410.01153 (2024) - 2021
- [j6]Birgul Koc
, Samuele Rubino, Michael Schneier, John R. Singler, Traian Iliescu:
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition. SIAM J. Numer. Anal. 59(4): 2163-2196 (2021) - [i7]Kiera Kean, William J. Layton, Michael Schneier:
On the Prandtl-Kolmogorov 1-equation model of turbulence. CoRR abs/2106.09855 (2021) - [i6]Kiera Kean, William J. Layton, Michael Schneier:
Clipping over dissipation in turbulence models. CoRR abs/2109.12107 (2021) - [i5]Kiera Kean, Michael Neilan, Michael Schneier:
The Scott-Vogelius Method for Stokes Problem on Anisotropic Meshes. CoRR abs/2109.14780 (2021) - 2020
- [j5]Victor P. DeCaria, Traian Iliescu, William J. Layton, Michael McLaughlin, Michael Schneier:
An Artificial Compression Reduced Order Model. SIAM J. Numer. Anal. 58(1): 565-589 (2020) - [j4]Kiera Kean, Michael Schneier:
Error Analysis of Supremizer Pressure Recovery for POD based Reduced-Order Models of the Time-Dependent Navier-Stokes Equations. SIAM J. Numer. Anal. 58(4): 2235-2264 (2020) - [i4]Victor P. DeCaria, Michael Schneier:
An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations. CoRR abs/2002.00074 (2020) - [i3]Birgul Koc, Samuele Rubino, Michael Schneier, John R. Singler, Traian Iliescu:
On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition. CoRR abs/2010.03750 (2020)
2010 – 2019
- 2019
- [j3]Max D. Gunzburger, Michael Schneier, Clayton G. Webster, Guannan Zhang:
An Improved Discrete Least-Squares/Reduced-Basis Method for Parameterized Elliptic PDEs. J. Sci. Comput. 81(1): 76-91 (2019) - [j2]Max D. Gunzburger, Traian Iliescu, Muhammad Mohebujjaman, Michael Schneier:
An Evolve-Filter-Relax Stabilized Reduced Order Stochastic Collocation Method for the Time-Dependent Navier-Stokes Equations. SIAM/ASA J. Uncertain. Quantification 7(4): 1162-1184 (2019) - [i2]Kiera Kean, Michael Schneier:
Error Analysis of Supremizer Pressure Recovery for POD based Reduced Order Models of the time-dependent Navier-Stokes Equations. CoRR abs/1909.06022 (2019) - [i1]William J. Layton, Michael Schneier:
Diagnostics for Eddy Viscosity Models of Turbulence Including Data-Driven/Neural Network Based Parameterizations. CoRR abs/1911.02491 (2019) - 2017
- [j1]Max D. Gunzburger, Nan Jiang, Michael Schneier:
An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations. SIAM J. Numer. Anal. 55(1): 286-304 (2017)
Coauthor Index
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