Contact Information:
D. Viswanath
530 Church Street
Department of Mathematics
University of Michigan
Ann Arbor, MI 48109, U.S.A.
Phone: (734) 936-9995

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Classes:
Math 571: Numerical methods for scientific computation I

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Papers:

• The dynamics of transition to turbulence in plane Couette flow. Submitted. Link



• Recurrent motions within plane Couette turbulence. Journal of Fluid Mechanics. To appear. Link



• (with M. Conger). Shuffling cards for blackjack, bridge, and other card games. Submitted. Link



• Stable manifolds and homoclinic points near resonances in the restricted three-body problem. Celestial Mechanics and Dynamical Astronomy 94 (2006), p. 213-235. Link



• (with M. Conger). Normal approximations for descents and inversions of permutations of multisets. Journal of Theoretical Probability. To appear. Link



• Linear stability analysis of resonant periodic motions in the restricted three-body problem. Journal of Dynamics and Differential Equations 17(2005), p. 271-292. Link1 Link2.



• (with M. Conger). Riffle shuffles of decks with repeated cards. Annals of Probability 34(2006), p. 804-819. Link



• The fractal property of the Lorenz attractor. Physica D 190 (2004), p. 115-128. Link1. Link2



• Symbolic dynamics and periodic orbits of the Lorenz attractor. Nonlinearity, 16 (2003), p. 1035-1056. Link1. Link2



• How many timesteps for a cycle? Analysis of the Wisdom-Holman algorithm. BIT Numerical Mathematics 42 (2002), 194-205.



• The Lindstedt-Poincare technique as an algorithm for computing periodic orbits. SIAM Review 43 (2001), p. 478-495. Link1. Link2



• Global errors of numerical ODE solvers and Lyapunov's theory of stability. IMA Journal of Numerical Analysis 21 (2001), 387-406. Link1 Link2



• Random Fibonacci sequences and the number 1.13198824... Mathematics of Computation 69 (2000), p. 1131-1155. Link1 Link2



• (with L.N. Trefethen). Condition numbers of random triangular matrices. SIAM J. Matrix Anal. Applics. 19 (1998), p. 564-581. Link1 Link2

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