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Mathematical Sciences
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Peter Kramer
Department of Mathematical Sciences Faculty:

Kristin Bennett
Mohamed Boudjelkha
Margaret Cheney
Donald Drew
Joseph Ecker
Joseph E. Flaherty
Isom Herron
Mark Holmes
David Isaacson
Ashwani Kapila
Maya Kiehl
Gregor Kovacic
Peter Kramer
Fengyan Li
Chjan Lim
Yuri Lvov
Harry McLaughlin
Joyce McLaughlin
John Mitchell
Clifford Nolan
Bruce Piper
Victor Roytburd
Lester Rubenfeld
David Schmidt
Donald Schwendeman
William Siegmann
Michael Zuker

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Mathematical Sciences Faculty
Peter Kramer

Associate Professor of Mathematical Sciences

Education:

Ph.D., Princeton University

Research Areas:

  • Modeling transport in turbulent flows
  • Computer simulation of microphysiological systems
  • Stochastic modeling in physics and biology
  • Multiscale asymptotic methods
  • Random field simulation
  • Nonlinear wave turbulence

Selected Publications:

P. R. Kramer, O. Kurbanmuradov, and K. Sabelfeld,  "Comparative Analysis of Multiscale Gaussian Random Field Simulation Algorithms," submitted to Journal of Computational Physics

P. J. Atzberger and P. R. Kramer, "Error analysis of a stochastic immersed boundary method incorporating thermal fluctuations," submitted to SIAM Journal of Numerical Analysis.

P. J. Atzberger, P. R. Kramer, and C. S. Peskin, "A stochastic immersed boundary method for biological fluid dynamics at microscopic length scales," submitted to Journal of Computational Physics.

E. Castronovo and P. R. Kramer, "Subdiffusion and Superdiffusion in Lagrangian Stochastic Models of Oceanic Transport," Monte Carlo Methods and Applications, 10 (3-4), 2004:  245-256.

P. R. Kramer,  "Brownian Motion," Encyclopedia of Nonlinear Science,  ed., Alwyn Scott.  New York and London:  Routledge, 2005.

P. R. Kramer,  "Fokker-Planck Equation," Encyclopedia of Nonlinear Science,  ed., Alwyn Scott.  New York and London:  Routledge, 2005.

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.

P. R. Kramer and C. S. Peskin, "Incorporating Thermal Fluctuations into the Immersed Boundary Method," Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics, K. J. Bathe, ed., Elsevier, 2, 1755--1758.

P. R. Kramer, J. A. Biello, and Y. Lvov, "Application of weak turbulence theory to FPU model," Discrete and Continuous Dynamical Systems, Expanded Volume for the Proceedings of the Fourth International Conference on Dynamical Systems and Differential Equations, 2003:  482--491.

J. A. Biello, P. R. Kramer, and Yuri Lvov, "Stages of energy transfer in the FPU model," Discrete and Continuous Dynamical Systems, Expanded Volume for the Proceedings of the Fourth International Conference on Dynamical Systems and Differential Equations, 2003:  113--122.

P. R. Kramer and A. J. Majda, "Stochastic mode reduction for immersed boundary method," SIAM J. Appl. Math. 64 (2), 2003:  369--400.

P. R. Kramer and A. J. Majda, "Stochastic mode reduction for particle-based simulation methods for complex microfluid systems," SIAM J. Appl. Math. 64 (2), 2003:  401--422.

P. R. Kramer, A. J. Majda, and E. Vanden-Eijnden, "Closure approximations for passive scalar turbulence:  A comparative study on an exactly solvable model with complex features," J. Stat. Phys., 111 (3/4), 2003:  565--679.

P. R. Kramer, "Two different rapid decorrelation in time limits for turbulent diffusion,"  J. Stat. Phys., 110 (1/2), 2003: 87--136. 

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.

P. R. Kramer, "A review of some Monte Carlo simulation methods for turbulent systems,'' Monte Carlo Methods and Applications, 7 (3--4) 2001: 229--244.

Contact Information:

Peter Kramer
(518) 276-6896
kramep@rpi.edu

More Info:

http://www.rpi.edu/~kramep/

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