Lucas C. Wilcox

According to our database, Lucas C. Wilcox authored at least 25 papers between 2008 and 2025.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2025

An energy stable high-order cut cell discontinuous Galerkin method with state redistribution for wave propagation.

Christina G. Taylor, Lucas C. Wilcox, Jesse Chan

J. Comput. Phys., 2025

2022

Entropy stable discontinuous Galerkin methods for balance laws in non-conservative form: Applications to the Euler equations with gravity.

Maciej Waruszewski, Jeremy E. Kozdon, Lucas C. Wilcox, Thomas H. Gibson, Francis X. Giraldo

J. Comput. Phys., 2022

2021

Hybridized Summation-by-Parts Finite Difference Methods.

Jeremy E. Kozdon, Brittany A. Erickson, Lucas C. Wilcox

J. Sci. Comput., 2021

Entropy Stable Discontinuous Galerkin Methods for Balance Laws in Non-Conservative Form: Applications to Euler with Gravity.

Maciej Waruszewski, Jeremy E. Kozdon, Lucas C. Wilcox, Thomas H. Gibson, Francis X. Giraldo

CoRR, 2021

2019

Robust approaches to handling complex geometries with Galerkin difference methods.

Jeremy E. Kozdon, Lucas C. Wilcox, Thomas M. Hagstrom, Jeffrey W. Banks

J. Comput. Phys., 2019

On discretely entropy stable weight-adjusted discontinuous Galerkin methods: curvilinear meshes.

Jesse Chan, Lucas C. Wilcox

J. Comput. Phys., 2019

A GPU-accelerated continuous and discontinuous Galerkin non-hydrostatic atmospheric model.

Daniel S. Abdi, Lucas C. Wilcox, Timothy C. Warburton, Francis X. Giraldo

Int. J. High Perform. Comput. Appl., 2019

Acceleration of the IMplicit-EXplicit nonhydrostatic unified model of the atmosphere on manycore processors.

Daniel S. Abdi, Francis X. Giraldo, Emil M. Constantinescu, Lester E. Carr, Lucas C. Wilcox, Timothy C. Warburton

Int. J. High Perform. Comput. Appl., 2019

Strong scaling for numerical weather prediction at petascale with the atmospheric model NUMA.

Andreas Müller, Michal A. Kopera, Simone Marras, Lucas C. Wilcox, Tobin Isaac, Francis X. Giraldo

Int. J. High Perform. Comput. Appl., 2019

Fast Mesh Refinement in Pseudospectral Optimal Control.

N. Koeppen, I. Michael Ross, Lucas C. Wilcox, Ronald J. Proulx

CoRR, 2019

2018

An Energy Stable Approach for Discretizing Hyperbolic Equations with Nonconforming Discontinuous Galerkin Methods.

Jeremy E. Kozdon, Lucas C. Wilcox

J. Sci. Comput., 2018

2017

Solving 1D Conservation Laws Using Pontryagin's Minimum Principle.

Wei Kang, Lucas C. Wilcox

J. Sci. Comput., 2017

Mitigating the curse of dimensionality: sparse grid characteristics method for optimal feedback control and HJB equations.

Wei Kang, Lucas C. Wilcox

Comput. Optim. Appl., 2017

2016

Stable Coupling of Nonconforming, High-Order Finite Difference Methods.

Jeremy E. Kozdon, Lucas C. Wilcox

SIAM J. Sci. Comput., 2016

Array program transformation with Loo.py by example: high-order finite elements.

Andreas Klöckner, Lucas C. Wilcox, Timothy C. Warburton

Proceedings of the 3rd ACM SIGPLAN International Workshop on Libraries, 2016

2015

Recursive Algorithms for Distributed Forests of Octrees.

Tobin Isaac, Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas

SIAM J. Sci. Comput., 2015

Discretely Exact Derivatives for Hyperbolic PDE-Constrained Optimization Problems Discretized by the Discontinuous Galerkin Method.

Lucas C. Wilcox, Georg Stadler, Tan Bui-Thanh, Omar Ghattas

J. Sci. Comput., 2015

An example of solving HJB equations using sparse grid for feedback control.

Wei Kang, Lucas C. Wilcox

Proceedings of the 54th IEEE Conference on Decision and Control, 2015

2012

A Stochastic Newton MCMC Method for Large-Scale Statistical Inverse Problems with Application to Seismic Inversion.

James Martin, Lucas C. Wilcox, Carsten Burstedde, Omar Ghattas

SIAM J. Sci. Comput., 2012

Extreme-scale UQ for Bayesian inverse problems governed by PDEs.

Tan Bui-Thanh, Carsten Burstedde, Omar Ghattas, James Martin, Georg Stadler, Lucas C. Wilcox

Proceedings of the SC Conference on High Performance Computing Networking, 2012

2011

Fast Algorithms for Bayesian Uncertainty Quantification in Large-Scale Linear Inverse Problems Based on Low-Rank Partial Hessian Approximations.

H. P. Flath, Lucas C. Wilcox, Volkan Akcelik, Judith Hill, Bart G. van Bloemen Waanders, Omar Ghattas

SIAM J. Sci. Comput., 2011

p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees.

Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas

SIAM J. Sci. Comput., 2011

2010

A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media.

Lucas C. Wilcox, Georg Stadler, Carsten Burstedde, Omar Ghattas

J. Comput. Phys., 2010

Extreme-Scale AMR.

Carsten Burstedde, Omar Ghattas, Michael Gurnis, Tobin Isaac, Georg Stadler, Tim Warburton, Lucas C. Wilcox

Proceedings of the Conference on High Performance Computing Networking, 2010

2008

Scalable adaptive mantle convection simulation on petascale supercomputers.

Carsten Burstedde, Omar Ghattas, Michael Gurnis, Georg Stadler, Eh Tan, Tiankai Tu, Lucas C. Wilcox, Shijie Zhong

Proceedings of the ACM/IEEE Conference on High Performance Computing, 2008