Selected Publications
(full list with links):
- Y. Ashenafi and P. R. Kramer, "Statistical Mobility of Multicellular Colonies of Flagellated Swimming Cells," submitted.
- E. Qian, J. M. Tabert, C. Beattie, S. Gugercin, J. Jiang, P. R. Kramer, and A. Narayan, "Model Reduction of Linear Dynamical Systems via Balancing for Bayesian Inference," Journal of Scientific Computing 91 (2022): 29.
- F. Olmez, P. R. Kramer, J. Fricks, D. R. Schmidt, and J. Best, "Penalized KS method to fit data sets with power law distribution over a bounded subinterval," Journal of Statistical Computation and Simulation 91 (2021): 1524-1563.
- J. J. Klobusicky, J. Fricks, and P. R. Kramer, "Effective behavior of cooperative and nonidentical molecular motors," Research in the Mathematical Sciences 7 (2020): 29. Part of a collection on Modern Applied Mathematics and Scientific Grand Challenges: Special Collection in Honor of Andrew J. Majda on the Occasion of his 70th Birthday.
- Y. Qian, P. R. Kramer, and P. T. Underhill, "Stochastic Kinetic Theory for Collective Behavior of Hydrodynamically Interacting Active Particles," Physical Review Fluids 2 (2017): 043104.
-
K. A. Newhall, M. S. Shkarayev, P. R. Kramer, G. Kovacic, and D.
Cai, "Synchrony in stochastically driven neuronal networks with complex
topologies," Physical Review E 91 (2015): 052806.
-
J.
C. Latorre, P. R. Kramer, and G. A. Pavliotis, "Numerical Methods for
Computing Effective Transport Properties of Flashing Brownian Motors," Journal of
Computational Physics 257A (2014): 57-82.
-
O.
Kurbanmuradov, K. Sabelfeld, and P. R. Kramer, "Randomized Spectral and
Fourier-Wavelet Methods for Multidimensional Gaussian Random Vector
Fields," Journal
of Computational Physics 245 (2013):
218-234.
-
K.
A. Newhall, E. P. Atkins, P. R. Kramer, G. Kovacic, and I. R. Gabitov,
"Random Polarization Dynamics in a Resonant Optical Medium," Optics Letters 38 (6), (2013):
893-895.
-
J.
C. Latorre, G. A. Pavliotis, and P. R. Kramer, "Corrections to
Einstein's relation for Brownian motion in a tilted periodic
potential," Journal of
Statistical Physics 150
(4), (2013):
776-803.
- E.
P. Atkins, P. R. Kramer, G. Kovacic, and I. R. Gabitov, "Stochastic
Pulse Switching in a Degenerate Resonant Optical Medium," Physical Review A 85 (2012), 043834.
-
S.
A. McKinley, A. Athreya, J. Fricks, and P. R. Kramer, "Asymptotic
Analysis of Microtubule-Based Transport by Multiple Identical Molecular
Motors," Journal of Theoretical Biology
305
(2012): 54-69.
P. R. Kramer, C. S. Peskin, and P. J.
Atzberger, "On the foundations of the stochastic immersed boundary
method," Computer Methods in Applied Mechanics and
Engineering, 197(25-28),
2008: 2232-2249
-
P. J. Atzberger, P. R. Kramer, and C. S.
Peskin, "A
stochastic immersed boundary method for fluid-structure dynamics at
microscopic length scales," Journal
of Computational Physics 224
(2), 2007: 1255-1292.
-
L.
J. Borucki, T. Witelski, C. Please, P. R. Kramer, and D. Schwendeman,
"A theory of pad conditioning for chemical-mechanical
polishing,"
Journal of Engineering Mathematics, 50
(1), 2004: 1-24.
-
A. J. Majda and P. R. Kramer,
"Simplified models for turbulent diffusion: Theory, numerical
modelling and physical phenomena," Physics Reports, 314
(4-5), 1999: 237-574.
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