Maria K. Cameron

University of Maryland, Department of Mathematics

Publications

Predicting molecule size distribution in hydrocarbon pyrolysis using random graph theory, Vincent Dufour-Decieux, Christopher Moakler, Maria Cameron, Evan Reed, submitted, arXiv:2205.13664
Most probable escape paths in periodically driven nonlinear oscillators, Lautaro Cilenti, Maria Cameron, Balakumar Balachandran, submitted, arXiv:2203.14329
An efficient jet marcher for computing the quasipotential for 2D SDEs, Nicholas Packal and Maria K. Cameron, accepted, Journal of Scientific Computing (Springer), arXiv:2109.03424
Computing committors in collective variables via Mahalanobis diffusion maps, A. Luke Evans, Maria K. Cameron, and Pratyush Tiwary, submitted, 2021, arXiv:2108.08979
Jet Marching Methods for Solving the Eikonal Equation, Samuel F. Potter and Maria K. Cameron, SIAM Journal of Scientific Computing, 43(6), A4121--A4146 (2021), arXiv:2009.05490
Ordered Line Integral Methods for Solving the Eikonal Equation, Samuel F. Potter and Maria K. Cameron, Journal of Scientific Computing, 81(3) (2019), 2010–2050, https://doi.org/10.1007/s10915-019-01077-z, arXiv:1902.06825
Computing the quasipotential for highly dissipative and chaotic SDEs. An application to stochastic Lorenz’63, Maria Cameron and Shuo Yang, Communications in Applied Mathematics and Computational Science (CAMCoS) 14-2 (2019), 207--246. DOI: 10.2140/camcos.2019.14.207 arXiv:1809.09987v2
Computing the quasipotential for nongradient SDEs in 3D, Shuo Yang, Samuel F. Potter, and Maria K. Cameron, Journal of Computational Physics, 379 (2019) 325-350, https://doi.org/10.1016/j.jcp.2018.12.005, arXiv: 1808.00562
An Ordered Line Integral Method for Computing the Quasi-potential in the case of Variable Anisotropic Diffusion, Daisy Dahiya and Maria Cameron, 2018, Physica D 382-383 (2018), 33–45, https://doi.org/10.1016/j.physd.2018.07.002, arXiv:1806.05321
Ordered Line Integral Methods for Computing the Quasi-potential, Daisy Dahiya and Maria Cameron, J. Scientific Computing, 75(3), 1351-1384 (2018), https://doi.org/10.1007/s10915-017-0590-9, ArXiv: 1706.07509
Modeling Aggregation Processes of Lennard-Jones Particles via Stochastic Networks, Yakir Forman and Maria Cameron, J. Statistical Physics 168(2), 408-433 (2017), DOI: 10.1007/s10955-017-1794-y, ArXiv: 1612.09599
A Graph-Algorithmic Approach for the Study of Metastability in Markov Chains, Tingyue Gan and Maria Cameron, J. Nonlinear Science, Vol. 27, 3, (June 2017), pp. 927-972, doi: 10.1007/s00332-016-9355-0, ArXiv: 1607.00078
Spectral Analysis and Clustering of Large Stochastic Networks. Application to the Lennard-Jones-75 cluster, M. Cameron and T. Gan, Molecular Simulation 42 (2016) Issue 16: Special Issue on Nonequilibrium Systems, 1410-1428, doi: 10.1080/08927022.2016.1139109, ArXiv: 1511.05269
QPot: An R package for stochastic differential equation quasi-potential analysis, B. Nolting, C. Moore, C. Stieha, M. Cameron, K. Abbott, R Journal 8, 2, December 2016, ArXiv: 1510.07992v1
Metastability, Spectrum, and Eigencurrents of the Lennard-Jones-38 Network, M. Cameron, J. Chem. Phys. (2014), 141, 184113 doi: 10.1063/1.4901131 arXiv: 1408.5630 http://scitation.aip.org/content/aip/journal/jcp/141/18/10.1063/1.4901131
Computing the Asymptotic Spectrum for Networks Representing Energy Landscapes using the Minimal Spanning Tree, M. Cameron, Networks and Heterogeneous Media, vol. 9, number 3, pp. 383 - 416, Sept. 2014, doi:10.3934/nhm.2014.9.383, arXiv:1402.2869 https://aimsciences.org/journals/displayArticlesnew.jsp?paperID=10424
Flows in Complex Networks: Theory, Algorithms, and Application to Lennard-Jones Cluster Rearrangement, M. Cameron and E. Vanden-Eijnden, Journal of Statistical Physics 156, 3, 427-454 (2014) (DOI) https://doi.org/10.1007/s10955-014-0997-8, arXiv:1402.1736
Computing Freidlin's cycles for the overdamped Langevin dynamics. Application to the Lennard-Jones-38 cluster, M. K. Cameron, Journal of Statistical Physics, (2013), 152, 3, 493-518 (2013) (DOI) 10.1007/s10955-013-0770-4 http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s10955-013-0770-4
Estimation of reactive fluxes in gradient stochastic systems using an analogy with electric circuits, M. K. Cameron, Journal of Computational Physics, 247, pp. 137-152 (2013) http://dx.doi.org/10.1016/j.jcp.2013.03.054
Finding the Quasipotential for Nongradient SDE's, M. K. Cameron, Physica D: Nonlinear Phenomena, 241 (2012), pp. 1532-1550 http://dx.doi.org/10.1016/j.physd.2012.06.005
The String Method as a Dynamical System, Maria Cameron, Robert Kohn, and Eric Vanden-Eijnden, Journal of Nonlinear Science, 21, Number 2, pp. 193-230 (2011)
Analysis and Algorithms for a Regularized Cauchy Problem arising from a Non-Linear Elliptic PDE for Seismic Velocity Estimation, Cameron, M.K., Fomel, S., Sethian, J.A., J. Comp. Phys., 228, pp.7388-7411, 2009 http://dx.doi.org/10.1016/j.jcp.2009.06.036
Time-to-depth conversion and seismic velocity estimation using time-migration velocity, Cameron, M.K., Fomel, S., Sethian, J.A., Geophysics, 73, VE205, 2008
Inverse Problem in Seismic Imaging, Cameron, M.K., Fomel, S., Sethian, PAMM, 7, Issue 1, pp. 1024803-1024804, 2007
Seismic Velocity Estimation from Time Migration, Maria K. Cameron, Ph.D. Thesis, ProQuest, UC Berkeley, 2007
Seismic Velocity Estimation from Time Migration, Cameron, M. K., Fomel, S. B., Sethian, J. A., Inverse Problems, 23(4), pp. 1329-1369, 2007,DOI: https://doi.org/10.1088/0266-5611/23/4/001
Seismic velocity estimation and time-to-depth conversion of time-migrated images, Maria Cameron*, UC Berkeley; Sergey Fomel, UT Austin; James Sethian, UC Berkeley, SEG/New Orleans 2006 Technical Program Online (SVIP 1.7)