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| Paul K.
Newton |
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Professor
1985 Ph.D., Applied Mathematics, Brown University
1981 B.Sc., Applied Mathematics/Physics, Harvard University
1998-: Professor, Department of Aerospace and Mechanical Engineering and Department of Mathematics
1993-1998: Associate Professor, Department of Aerospace and Mechanical Engineering and Department of Mathematics
1992-1993: Associate Professor, Department of Mathematics and Center for Complex Systems Research, Beckman Institute, University of Illinois
1987-1992: Assistant Professor, Department of Mathematics and Center for Complex Systems Research, Beckman Institute, University of Illinois
1989: Visiting Assistant Professor, Division of Applied Mathematics, Brown University
1985-1987: Postdoctoral Fellow, Department of Mathematics, Stanford University
Nonlinear dynamical systems, Fluid mechanics,
Vortex dynamics, Probabilistic game theory,
Mathematical modeling of cancer metastasis
P. K. Newton, The N-Vortex Problem: Analytical Techniques (Series: Applied
Mathematical Sciences). Berlin: Springer-Verlag, 2001.
P.K. Newton and T. Sakajo,
"Point vortex equilibria on the sphere via Brownian ratchets,"
Proc. Roy. Soc. A 465, pp. 437-455, 2009.
P.K. Newton and G. Chamoun,
"Vortex lattice theory: A particle interaction perspective,"
SIAM Review, 51, Issue 3, pp. 501-542, 2009.
P.K. Newton and H. Shokraneh, "Interacting dipole pairs on a rotating sphere,"
Proc. Roy. Soc. A, 464 pp. 1525-1541, 2008.
P.K. Newton, G. Chamoun,
"Construction of point vortex equilibria via Brownian ratchets,"
Proc. Roy. Soc. A 463, 1525-1540, 2007.
P.K. Newton and S.D. Ross,
"Chaotic advection for the restricted four-vortex problem on a sphere,"
Physica D 223(1), 36-53, 2006.
P.K. Newton and K. Aslam, "Monte Carlo Tennis,"
SIAM Review 48(4), 722-742, 2006.
M.I. Jamaloodeen and P.K. Newton,
"The N-vortex problem on a rotating sphere. II. Heterogeneous equilibria,"
Proc. Roy. Soc. A 462, 3277-3299, 2006.
P.K. Newton and H. Shokraneh, "The N-vortex problem on a rotating sphere. I.
Multi-frequency states," Proc. Roy. Soc. A 462, 149-169, 2006.
P.K. Newton, B. Cooley,
"Iterated impact dynamics from N-beads on a ring,"
SIAM Review 42(2), 273-300, 2005.
More publications...
American Physical Society (APS)
Society for Industrial and Applied Mathematics (SIAM)
American Mathematical Society (AMS)
1993-1994: Beckman Institute Research Fellow Award
1993: Oakely-Kund Teaching Award (University Finalist)
1981-1982: Brown University Fellowship
1978-1981: Harvard University Scholarship for Academic Achievement
AME 525, 526: Engineering Analysis I, II
AME 530 a,b: Dynamics of Incompressible Fluids
AME 511: Compressible Gas Dynamics
AME 626: Singular Perturbation Methods
AME 630: Transition to Chaos in Dynamical Systems
Editorial Board: Journal of Nonlinear Science
Editorial Board: Texts in Applied Mathematics, Springer-Verlag
Advisory Board: Strategic Analytics, Santa Fe, New Mexico
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