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Lucas C. Wilcox
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2020 – today
- 2025
- [j18]Christina G. Taylor, Lucas C. Wilcox, Jesse Chan:
An energy stable high-order cut cell discontinuous Galerkin method with state redistribution for wave propagation. J. Comput. Phys. 521: 113528 (2025) - 2024
- [i7]Christina G. Taylor, Lucas C. Wilcox, Jesse Chan:
An Energy Stable High-Order Cut Cell Discontinuous Galerkin Method with State Redistribution for Wave Propagation. CoRR abs/2404.06630 (2024) - 2022
- [j17]Maciej Waruszewski, Jeremy E. Kozdon, Lucas C. Wilcox, Thomas H. Gibson, Francis X. Giraldo:
Entropy stable discontinuous Galerkin methods for balance laws in non-conservative form: Applications to the Euler equations with gravity. J. Comput. Phys. 468: 111507 (2022) - 2021
- [j16]Jeremy E. Kozdon, Brittany A. Erickson, Lucas C. Wilcox:
Hybridized Summation-by-Parts Finite Difference Methods. J. Sci. Comput. 87(3): 85 (2021) - [i6]Maciej Waruszewski, Jeremy E. Kozdon, Lucas C. Wilcox, Thomas H. Gibson, Francis X. Giraldo:
Entropy Stable Discontinuous Galerkin Methods for Balance Laws in Non-Conservative Form: Applications to Euler with Gravity. CoRR abs/2110.15920 (2021) - 2020
- [i5]Jeremy E. Kozdon, Brittany A. Erickson, Lucas C. Wilcox:
Hybridized Summation-By-Parts Finite Difference Methods. CoRR abs/2002.00116 (2020)
2010 – 2019
- 2019
- [j15]Daniel S. Abdi, Lucas C. Wilcox, Timothy C. Warburton, Francis X. Giraldo:
A GPU-accelerated continuous and discontinuous Galerkin non-hydrostatic atmospheric model. Int. J. High Perform. Comput. Appl. 33(1) (2019) - [j14]Andreas Müller, Michal A. Kopera, Simone Marras, Lucas C. Wilcox, Tobin Isaac, Francis X. Giraldo:
Strong scaling for numerical weather prediction at petascale with the atmospheric model NUMA. Int. J. High Perform. Comput. Appl. 33(2) (2019) - [j13]Daniel S. Abdi, Francis X. Giraldo, Emil M. Constantinescu, Lester E. Carr, Lucas C. Wilcox, Timothy C. Warburton:
Acceleration of the IMplicit-EXplicit nonhydrostatic unified model of the atmosphere on manycore processors. Int. J. High Perform. Comput. Appl. 33(2) (2019) - [j12]Jesse Chan, Lucas C. Wilcox:
On discretely entropy stable weight-adjusted discontinuous Galerkin methods: curvilinear meshes. J. Comput. Phys. 378: 366-393 (2019) - [j11]Jeremy E. Kozdon, Lucas C. Wilcox, Thomas M. Hagstrom, Jeffrey W. Banks:
Robust approaches to handling complex geometries with Galerkin difference methods. J. Comput. Phys. 392: 483-510 (2019) - [i4]N. Koeppen, I. Michael Ross, Lucas C. Wilcox, Ronald J. Proulx:
Fast Mesh Refinement in Pseudospectral Optimal Control. CoRR abs/1904.12992 (2019) - 2018
- [j10]Jeremy E. Kozdon, Lucas C. Wilcox:
An Energy Stable Approach for Discretizing Hyperbolic Equations with Nonconforming Discontinuous Galerkin Methods. J. Sci. Comput. 76(3): 1742-1784 (2018) - 2017
- [j9]Wei Kang, Lucas C. Wilcox:
Mitigating the curse of dimensionality: sparse grid characteristics method for optimal feedback control and HJB equations. Comput. Optim. Appl. 68(2): 289-315 (2017) - [j8]Wei Kang, Lucas C. Wilcox:
Solving 1D Conservation Laws Using Pontryagin's Minimum Principle. J. Sci. Comput. 71(1): 144-165 (2017) - 2016
- [j7]Jeremy E. Kozdon, Lucas C. Wilcox:
Stable Coupling of Nonconforming, High-Order Finite Difference Methods. SIAM J. Sci. Comput. 38(2) (2016) - [c5]Andreas Klöckner, Lucas C. Wilcox, Timothy C. Warburton:
Array program transformation with Loo.py by example: high-order finite elements. ARRAY@PLDI 2016: 9-16 - [i3]Andreas Klöckner, Lucas C. Wilcox, Timothy C. Warburton:
Array Program Transformation with Loo.py by Example: High-Order Finite Elements. CoRR abs/1604.08501 (2016) - 2015
- [j6]Lucas C. Wilcox, Georg Stadler, Tan Bui-Thanh, Omar Ghattas:
Discretely Exact Derivatives for Hyperbolic PDE-Constrained Optimization Problems Discretized by the Discontinuous Galerkin Method. J. Sci. Comput. 63(1): 138-162 (2015) - [j5]Tobin Isaac, Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas:
Recursive Algorithms for Distributed Forests of Octrees. SIAM J. Sci. Comput. 37(5) (2015) - [c4]Wei Kang, Lucas C. Wilcox:
An example of solving HJB equations using sparse grid for feedback control. CDC 2015: 1100-1105 - [i2]Andreas Müller, Michal A. Kopera, Simone Marras, Lucas C. Wilcox, Tobin Isaac, Francis X. Giraldo:
Strong Scaling for Numerical Weather Prediction at Petascale with the Atmospheric Model NUMA. CoRR abs/1511.01561 (2015) - 2014
- [i1]Tobin Isaac, Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas:
Recursive Algorithms for Distributed Forests of Octrees. CoRR abs/1406.0089 (2014) - 2012
- [j4]James Martin, Lucas C. Wilcox, Carsten Burstedde, Omar Ghattas:
A Stochastic Newton MCMC Method for Large-Scale Statistical Inverse Problems with Application to Seismic Inversion. SIAM J. Sci. Comput. 34(3) (2012) - [c3]Tan Bui-Thanh, Carsten Burstedde, Omar Ghattas, James Martin, Georg Stadler, Lucas C. Wilcox:
Extreme-scale UQ for Bayesian inverse problems governed by PDEs. SC 2012: 3 - 2011
- [j3]H. P. Flath, Lucas C. Wilcox, Volkan Akcelik, Judith Hill, Bart G. van Bloemen Waanders, Omar Ghattas:
Fast Algorithms for Bayesian Uncertainty Quantification in Large-Scale Linear Inverse Problems Based on Low-Rank Partial Hessian Approximations. SIAM J. Sci. Comput. 33(1): 407-432 (2011) - [j2]Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas:
p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees. SIAM J. Sci. Comput. 33(3): 1103-1133 (2011) - 2010
- [j1]Lucas C. Wilcox, Georg Stadler, Carsten Burstedde, Omar Ghattas:
A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media. J. Comput. Phys. 229(24): 9373-9396 (2010) - [c2]Carsten Burstedde, Omar Ghattas, Michael Gurnis, Tobin Isaac, Georg Stadler, Tim Warburton, Lucas C. Wilcox:
Extreme-Scale AMR. SC 2010: 1-12
2000 – 2009
- 2008
- [c1]Carsten Burstedde, Omar Ghattas, Michael Gurnis, Georg Stadler, Eh Tan, Tiankai Tu, Lucas C. Wilcox, Shijie Zhong:
Scalable adaptive mantle convection simulation on petascale supercomputers. SC 2008: 62
Coauthor Index
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