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2003: Ph.D. in Mathematics, University of California, Berkeley; 1999: B.A. in Mathematics and Physics, Dartmouth College.
Email:
Personal Homepage: http://www.cims.nyu.edu/~rangan/
Research Interests: Large-scale scientific modeling of physical, biological and neurobiological phenomena, and the development of efficient numerical methods and related analysis
Selected Works:
A.V. Rangan, Adaptive solvers for partial differential and differential-algebraic equations, Ph.D. Thesis (2003).
A.V. Rangan and D. Cai, Fast numerical methods for simulating large-scale integrate-and-fire neuronal networks, submitted to J. Comp. Neurosci. (2005).
A.V. Rangan, Deferred correction methods for low index differential-algebraic equations, submitted to BIT (2005).
A.V. Rangan, A spectral deferred correction method for parabolic partial differential equations, submitted to SIAM J. Numer. Anal. (2005).
A.V. Rangan, Automatic coordinate change for two-point boundary value problems, submitted to SIAM J. Matrix. Anal. Appl. (2005).
A.V. Rangan, D. Cai and L. Tao, Numerical methods for solving kinetic equations of neuronal network dynamics, submitted to J. Comp. Phys. (2005).
A.V. Rangan and D. Cai, Maximum-entropy closures for kinetic theories of neuronal network dynamics, submitted to Phys. Rev. Lett. (2005).
A.V. Rangan, D. Cai and D. McLaughlin, Modeling the spatiotemporal cortical activity associated with the line-motion illusion in primary visual cortex, Proc. Natl. Acad. Sci. (USA), 102, 18793-18800 (2005). - (Supporting text included at end of preprint, predicted line-motion illusion variants in mpeg format)
D. Cai, L. Tao, A.V. Rangan and D. McLaughlin, Kinetic theory for neuronal network dynamics, Comm. Math. Sci., in press (2005).
D. Cai, A.V. Rangan and D. McLaughlin, Architectural and synaptic mechanisms underlying coherent spontaneous activity in V1, Proc. Natl. Acad. Sci. (USA), 102, 5868 (2005).
A.V. Rangan and D. Cai, Kinetic theory for integrate-and-fire neurons with realistic conductance time-course, (in preparation for submission).
A.V. Rangan, D. Cai and D. McLaughlin, Theoretical analysis of network mechanisms underlying the line-motion illusion in primary visual cortex, (in preparation for submission).
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