Selected Publications
(full list with links):
 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): 15241563.
 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): 5782.

O.
Kurbanmuradov, K. Sabelfeld, and P. R. Kramer, "Randomized Spectral and
FourierWavelet Methods for Multidimensional Gaussian Random Vector
Fields," Journal
of Computational Physics 245 (2013):
218234.

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):
893895.

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):
776803.
 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 MicrotubuleBased Transport by Multiple Identical Molecular
Motors," Journal of Theoretical Biology
305
(2012): 5469.
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(2528),
2008: 22322249

P. J. Atzberger, P. R. Kramer, and C. S.
Peskin, "A
stochastic immersed boundary method for fluidstructure dynamics at
microscopic length scales," Journal
of Computational Physics 224
(2), 2007: 12551292.

L.
J. Borucki, T. Witelski, C. Please, P. R. Kramer, and D. Schwendeman,
"A theory of pad conditioning for chemicalmechanical
polishing,"
Journal of Engineering Mathematics, 50
(1), 2004: 124.

A. J. Majda and P. R. Kramer,
"Simplified models for turbulent diffusion: Theory, numerical
modelling and physical phenomena," Physics Reports, 314
(45), 1999: 237574.
