James W. Swift
1978-1984 University of
Ph.D. in Physics (December 1984)
Dissertation: “Bifurcation and Symmetry in Convection”
Research Advisor: Edgar Knobloch
1974-1978 University of
B.A. in Physics (September 1978)
Awarded Highest Honors in the Major
1990-Present Associate Professor in
Mathematics at Northern
1989-1990 Research Scientist under the
supervision of Martin Golubitsky in the Mathematics
department at the
1988-1989 Temporary Lecturer at
the Mathematics Institute,
1988 June-July Postdoctoral Fellow at
1984-1988 Research Fellow at King’s College, Cambridge, and Research Associate in the Department of Applied Mathematics and Theoretical Physics, University of Cambridge, U.K.
1985 July-Aug. Postdoctoral Fellow in the Geophysical Fluid Dynamics Program, Woods Hole Oceanographic Institution.
1980-1984 Research Assistant at UC Berkeley in bifurcation theory and convection under the direction of Edgar Knobloch.
1978-1983 Teaching Assistant at UC Berkeley Physics Department.
and Pattern Selection in Rayleigh-Benard Convection,”
Physica D 10, pp. 249-276 (1984). With M. Golubitsky
“Suppression of Period Doubling in Symmetric Systems,” Phys. Rev. Lett. 52:9, pp. 705-708 (1984). With K. Wiesenfeld.
“Hopf Bifurcation with the Symmetry of the Square,” Nonlinearity 1, pp. 333-377 (1988).
“Three Identical Oscillators with Symmetric Coupling,” Nonlinearity 3, pp. 585-601 (1990). With Peter Ashwin and G.P. King.
“Stationary Bifurcation to Limit Cycles and Heteroclinic Cycles,” Nonlinearity 4, pp. 1001-1053 (1991). With Mike Field.
“The Dynamics of n Weakly Coupled Identical Oscillators,” Journal of Nonlinear Science 2, pp. 69-108 (1992). With Peter Ashwin.
“Averaging of Globally Coupled Oscillators,” Physica D 55, pp. 239-250 (1992). With Steven Strogatz and Kurt Wiesenfeld.
“Unfolding the Torus: Oscillator Geometry from Time Delays,” Journal of Nonlinear Science 3, pp. 459-475 (1993). With Peter Ashwin.
“Hopf Bifurcation and the Hopf Fibration,” Nonlinearity 7, pp. 385-402 (1994). With Mike Field.
“Measuring Rotation Sets of Coupled Oscillators,” Nonlinearity 7, pp. 925-942 (1994). With Peter Ashwin.
“Torus Doubling in Four Weakly Coupled Oscillators,” International Journal of Bifurcation and Chaos 5:1, pp. 231-241 (1995). With Peter Ashwin.
“Averaged Equations for Josephson Junction Series Arrays,” Physical Review E 51:2, pp. 1020-1025 (1995). With Kurt Wiesenfeld.
“Stability of Periodic Solutions in Series Arrays of Josephson Junctions with Internal Capacitance,” J. Nonlinear Science 7, pp. 503-536 (1997). With Shinya Watanabe.
“Observing the Symmetry of Attractors,” Physica D 114, pp. 315-337 (1998). With Jeffrey H. Schenker.
“Numerical Solutions of a Vector Ginzburg-Landau Equation with a Triple-Well Potential,” International Journal of Bifurcation and Chaos 13:11, pp. 3295-3306 (2003). With John M. Neuberger and Dennis R. Rice, Jr.
“The Boundary of Weighted Analytic Centers for Linear Matrix Inequalities,” Journal of Inequalities in Pure and Applied Mathematics 5:1, Article 14, 21 pages (electronic), (2004). With Shafiu Jibrin.
“Computing Eigenfunctions on the Koch Snowflake: A New Grid and Symmetry," Journal of Computational and Applied Mathematics 191, pp. 126-142 (2006). With John M. Neuberger and Nándor Sieben.
“Symmetry and Automated Branch Following for a Semilinear Elliptic PDE on a Fractal Region,” SIAM Journal on Applied Dynamical Systems 5:3, pp. 476-507 (2006). With John M. Neuberger and Nándor Sieben.
“Automated Bifurcation Analysis for Nonlinear Elliptic Partial Difference Equations on Graphs,” International Journal of Bifurcation and Chaos 19: 8, pp. 2531-2556 (2009). With John M. Neuberger and Nándor Sieben.
“An MPI Implementation of a Self-Submitting Parallel Job Queue,” International Journal of Parallel Programming 40:4, pp. 443-464 (2012). With John M. Neuberger and Nándor Sieben.
“A Linear Condition Determining Local or Global Existence for Nonlinear Problems,” Cent. Eur. J. Math. 11:8 pp. 1361-1374 (2013). With John M. Neuberger and John W. Neuberger.
“Newton’s Method and Symmetry for Semilinear Elliptic PDE on the Cube,” SIAM J. Appl. Dyn. Syst. 12:3, pp. 1237-1279, (2013). With John M. Neuberger and Nándor Sieben.
“Symmetry Analysis and Numerical Solutions for Semilinear Elliptic Systems,” Elect. J. of Diff. EQ – 2012 Variational and Topological Methods Conference Proceedings, (refereed conference proceedings) accepted. With C. Tyler Diggans and John M. Neuberger.
Updated September 2013