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Harvey, Tobias W., Brittany A. Erickson, and Jeremy E. Kozdon. "A High‐order Accurate Summation‐by‐Parts Finite Difference Method for Fully‐dynamic Earthquake Sequence Simulations within Sedimentary Basins." Journal of Geophysical Research: Solid Earth (2023): e2022JB025357.
DOI: 10.1029/2022JB025357
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Earth ArXiv: 3505
Souza, A. N., et al. "The Flux‐Differencing Discontinuous Galerkin Method Applied to an Idealized Fully Compressible Nonhydrostatic Dry Atmosphere." Journal of Advances in Modeling Earth Systems 15.4 (2023): e2022MS003527.
DOI: 10.1029/2022MS003527
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ESS Open Archive: 10.1002/essoar.10512731.1
Waruszewski, Maciej, et al. "Entropy stable discontinuous Galerkin methods for balance laws in non-conservative form: Applications to the Euler equations with gravity." Journal of Computational Physics 468 (2022): 111507.
DOI: 10.1016/j.jcp.2022.111507
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arXiv: 2110.15920
Sridhar, Akshay, et al. "Large-eddy simulations with ClimateMachine v0. 2.0: a new open-source code for atmospheric simulations on GPUs and CPUs." Geoscientific Model Development 15.15 (2022): 6259-6284.
DOI: 10.5194/gmd-15-6259-2022
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arXiv: 2110.00853
Erickson, Brittany A., Jeremy E. Kozdon, and Tobias Harvey. "A non-stiff summation-by-parts finite difference method for the scalar wave equation in second order form: Characteristic boundary conditions and nonlinear interfaces." Journal of Scientific Computing 93.1 (2022): 17.
DOI: 10.1007/s10915-022-01961-1
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arXiv: 2106.00706
Kozdon, Jeremy E., Brittany A. Erickson, and Lucas C. Wilcox. "Hybridized summation-by-parts finite difference methods." Journal of Scientific Computing 87.3 (2021): 85.
DOI: 10.1007/s10915-021-01448-5
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arXiv: 2002.00116
Erickson, Brittany A., et al. "The community code verification exercise for simulating sequences of earthquakes and aseismic slip (SEAS)." Seismological Research Letters 91.2A (2020): 874-890.
DOI: 10.1785/0220190248
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EarthArXiv: 669
Best Mckay, Maricela, Brittany A. Erickson, and Jeremy E. Kozdon. "A computational method for earthquake cycles within anisotropic media." Geophysical Journal International 219.2 (2019): 816-833.
DOI: 10.1093/gji/ggz320
Kozdon, Jeremy E., et al. "Robust approaches to handling complex geometries with Galerkin difference methods." Journal of Computational Physics 392 (2019): 483-510.
DOI: 10.1016/j.jcp.2019.04.031
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arXiv: 1806.06103
Harris, Ruth A., et al. "A suite of exercises for verifying dynamic earthquake rupture codes." Seismological Research Letters 89.3 (2018): 1146-1162.
DOI: 10.1785/0220170222
Kozdon, Jeremy E., and Lucas C. Wilcox. "An energy stable approach for discretizing hyperbolic equations with nonconforming discontinuous Galerkin methods." Journal of Scientific Computing 76 (2018): 1742-1784.
DOI: 10.1007/s10915-018-0682-1
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arXiv: 1706.00513
Kozdon, Jeremy E., and Lucas C. Wilcox. "Stable coupling of nonconforming, high-order finite difference methods." SIAM Journal on Scientific Computing 38.2 (2016): A923-A952.
DOI: 10.1137/15M1022823
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arXiv: 1410.5746
Duru, Kenneth, Jeremy E. Kozdon, and Gunilla Kreiss. "Boundary conditions and stability of a perfectly matched layer for the elastic wave equation in first order form." Journal of Computational Physics 303 (2015): 372-395.
DOI: 10.1016/j.jcp.2015.09.048
O'Reilly, Ossian, et al. "Simulation of earthquake rupture dynamics in complex geometries using coupled finite difference and finite volume methods." Communications in Computational Physics 17.2 (2015): 337-370.
DOI: 10.4208/cicp.111013.120914a
Kozdon, Jeremy E., and Eric M. Dunham. "Constraining shallow slip and tsunami excitation in megathrust ruptures using seismic and ocean acoustic waves recorded on ocean-bottom sensor networks." Earth and Planetary Science Letters 396 (2014): 56-65.
DOI: 10.1016/j.epsl.2014.04.001
Chun, Changbum, et al. "Choosing weight functions in iterative methods for simple roots." Applied Mathematics and Computation 227 (2014): 788-800.
DOI: 10.1016/j.amc.2013.11.084
Kozdon, Jeremy E., and Eric M. Dunham. "Rupture to the trench: Dynamic rupture simulations of the 11 March 2011 Tohoku earthquake." Bulletin of the Seismological Society of America 103.2B (2013): 1275-1289.
DOI: 10.1785/0120120136
Kozdon, Jeremy E., Eric M. Dunham, and Jan Nordström. "Simulation of dynamic earthquake ruptures in complex geometries using high-order finite difference methods." Journal of Scientific Computing 55 (2013): 92-124.
DOI: 10.1007/s10915-012-9624-5
Keilegavlen, Eirik, Jeremy E. Kozdon, and Bradley T. Mallison. "Multidimensional upstream weighting for multiphase transport on general grids." Computational Geosciences 16 (2012): 1021-1042.
DOI: 10.1007/s10596-012-9301-7
Kozdon, Jeremy E., Eric M. Dunham, and Jan Nordström. "Interaction of waves with frictional interfaces using summation-by-parts difference operators: Weak enforcement of nonlinear boundary conditions." Journal of Scientific Computing 50 (2012): 341-367.
DOI: 10.1007/s10915-011-9485-3
Dunham, Eric M., et al. "Earthquake ruptures with strongly rate-weakening friction and off-fault plasticity, Part 1: Planar faults." Bulletin of the Seismological Society of America 101.5 (2011): 2296-2307.
DOI: 10.1785/0120100075
Dunham, Eric M., et al. "Earthquake ruptures with strongly rate-weakening friction and off-fault plasticity, part 2: Nonplanar faults." Bulletin of the Seismological Society of America 101.5 (2011): 2308-2322.
DOI: 10.1785/0120100076
Kozdon, Jeremy Edward, Bradley T. Mallison, and Margot G. Gerritsen. "Multidimensional upstream weighting for multiphase transport in porous media." Computational Geosciences 15 (2011): 399-419.
DOI: 10.1007/s10596-010-9211-5
Kozdon, J., et al. "Multidimensional upwinding for multiphase transport in porous media." SPE Journal 16.02 (2011): 263-272.
DOI: 10.2118/119190-PA
Kozdon, Jeremy, Brad Mallison, and Margot Gerritsen. "Robust multi-d transport schemes with reduced grid orientation effects." Transport in Porous Media 78 (2009): 47-75.
DOI: 10.1007/s11242-008-9281-1
Kozdon, Jeremy, Margot Gerritsen, and Mike Christie. "Grid orientation revisited: Near-well, early-time effects and solution coupling methods." Transport in Porous Media 73 (2008): 255-277.
DOI: 10.1007/s11242-007-9188-2
Rehr, J. J., et al. "Bayes–Turchin approach to XAS analysis." Journal of Synchrotron Radiation 12.1 (2005): 70-74.
DOI: 10.1107/S0909049504027876