Publications



C. Börgers and N. Kopell, Gamma Oscillations and Stimulus Selection, Neural Computation, in press (2007) (download)

C. Börgers, S. Epstein, and N. Kopell, Background Gamma Rhythmicity and Attention in Cortical Local Circuits: A Computational Study, Proceedings of the National Academy of Sciences USA, 102, No. 19, 7002-7007 (2005) (download)

C. Börgers and N. Kopell, Effects of Noisy Drive on Rhythms in Networks of Excitatory and Inhibitory Neurons, Neural Computation, 17, No. 3, 557-608 (2005) (download)

C. Börgers and N. Kopell, Synchronization in Networks of Excitatory and Inhibitory Neurons with Sparse, Random Connectivity, Neural Computation 15, 509-538 (2003) (download)

C. Börgers and E. T. Quinto, On the Non-Uniqueness of Optimal Radiation Treatment Plans, Inverse Problems 15, 1115-1138 (1999) (download)

C. Börgers, The Radiation Therapy Planning Problem, in Computational Radiology and Imaging: Therapy and Diagnostics (Proceedings of IMA Workshop, March 1997), edited by C. Börgers and F. Natterer, IMA Volumes in Mathematics and its Applications 110, Springer-Verlag, 1999 (download)

C. Börgers, Complexity of Monte Carlo and Deterministic Dose-Calculation Methods, Phys. Med. Biol. 43, 517-528 (1998) (download)

C. Börgers, A Fast Iterative Method for Computing Particle Beams Penetrating Matter, J. Comp. Phys. 133, 323-339 (1997)

C. Börgers and E. W. Larsen, On the Accuracy of the Fokker-Planck and Fermi Pencil Beam Equations for Charged Particle Transport, Med. Phys. 23, No. 10, 1-11 (1996)

C. Börgers and E. W. Larsen, Asymptotic Derivation of the Fermi Pencil Beam Equation, Nucl. Sci. Eng. 123, No. 3, 343-357 (1996)

C. Börgers and E. W. Larsen, The Transversely Integrated Salar Flux of a Narrowly Focused Particle Beam, SIAM J. Appl. Math. 55, No. 1, 1-22 (1995)

C. Börgers and E. W. Larsen, The Fermi Pencil Beam Approximation, in Proceedings of International Conference on Mathematics and Computations, Reactor Physics, and Environmental Analysis, Portland, Oregon, April 30 - May 4, 1995.

C. Börgers and E. W. Larsen, Fokker-Planck Approximation of Monoenergetic Transport processes, Trans. Am. Nucl. Soc. 71, 235-236 (1994)

C. Börgers and E. Thomann, Free Molecular Flow in Thin Domains, in Proceedings of the Eighteenth International Symposium on Rarefied Gas Dynamics, Progress in Astronautics and Aeronautics 160, 523-531 (1994)

C. Börgers, C. Greengard, and E. Thomann, The Diffusion Limit of Free Molecular Flow in Thin Plane Channels, SIAM J. Appl. Math. 52, No. 4, 1057-1075 (1992) (download)

C. Börgers, E. W. Larsen, and M. L. Adams, The Asymptotic Diffusion Limit of a Linear Discontinuous Discretization of a Two-Dimensional Linear Transport Equation, J. Comp. Phys. 98, No. 2, 285-300 (1992)

C. Börgers, Generalized Delaunay Triangulations of Non-Convex Domains, Computers Math. Appl. 20, No. 7, pp. 45-49 (1990).

C. Börgers, Domain Imbedding Methods for the Stokes Equations, Numer. Math. 57, 435-451 (1990)

C. Börgers, A Triangulation Algorithm for Fast Elliptic Solvers Based on Domain Imbedding, SIAM J. Numer. Anal. 27, No. 5, 1187-1196 (1990)

C. Börgers and O. B. Widlund, On Finite Element Domain Imbedding Methods, SIAM J. Numer. Anal. 27, No. 4, 963-978 (1990)

C. Börgers, On the Numerical Solution of the Regularized Birkhoff Equations, Math. Comp. 53, No. 187, 141-156 (1989)

C. Börgers, The Neumann-Dirichlet Domain Decomposition Method with Inexact Solvers on the Subdomains, Numer. Math. 55, 123-136 (1989)

C. Börgers and O. B. Widlund, A Domain Decomposition Laplace Solver for Internal Combustion Engine Modeling, SIAM J. Sci. Stat. Comp. 10, No. 2, 211-226 (1989)

C. Börgers and C. S. Peskin, A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes Equations on a Periodic Domain, J. Comp. Phys. 70, No. 2, 397-438 (1987)

C. Börgers and C. S. Peskin, A Lagrangian Method Based on the Voronoi Diagram for the Incompressible Navier-Stokes Equations on a Periodic Domain, in The Free Lagrange Method (Lecture Notes in Physics 238), edited by M. J. Fritts, W. P. Crowley, and H. Trease, 87-113, Springer-Verlag (1985).