### Divakar Viswanath

Professor of Mathematics

University of Michigan

530 Church Street

Ann Arbor, MI 48103

email: divakar(at)umich(dot)edu

### Education

BTech in Computer Science and Engineering, IIT Bombay, 1992

PhD in Computer Science, Cornell University, 1998

### Book

**Scientific Programming and Computer Architechture**

MIT Press, 2017

ISBN 9780262036290

Book website and code repository

The book website includes the complete text of the book in html

### Papers

- A. Melfi and D. Viswanath, The validity of the coalescent approximation for large samples. biorxiv.
- R. Navarrete and D. Viswanath, Support vector regression, smooth splines, and time series prediction. arxiv.
- R. Navarrete and D. Viswanath, Accuracy and stability of inversion of power series. arxiv. IMA J. of Numerical Analysis, Volume 36, Issue 1, 1 January 2016, p. 421–436,
- A. Souza and D. Viswanath, Intermittency of fine scales and complex singularities of turbulent Couette flow. arxiv
- D. Viswanath, Spectral integration of linear boundary value problems. arxiv. Journal of Computational and Applied Mathematics, Volume 36, 2016, p. 421–436.
- D. Viswanath and I. Tobasco, Navier–Stokes solver using Green’s functions I: Channel flow and plane Couette flow. arxiv. Journal of Computational Physics, vol. 251 (2013), p. 414–431.
- B. Sadiq and D. Viswanath, Barycentric Hermite interpolation. arxiv. SIAM Journal on Scientific Computing, vol. 35 (2013), p. A1254-A1270
- D. Viswanath, K. Serkh and X. Liang, Metric entropy and the optimal prediction of chaotic signals. arxiv. SIAM Journal on Applied Dynamical Systems, vol. 12 (2013), p. 1085-1113.
- B. Sadiq and D. Viswanath, Finite difference weights, spectral differentiation, and superconvergence. arxiv. Mathematics of Computation, vol. 83 (2014), p. 2403–2427.
- Y. Charles Li and D. Viswanath, Exact and asymptotic conditions on traveling wave solutions of the Navier-Stokes Equations. link. Physics of Fluids, vol. 21 (2009), 101703.
- D. Viswanath and S. Şahutoğlu, Complex singularities and the Lorenz attractor. arxiv. SIAM Review, vol. 52 (2010), p. 294-314.
- D. Viswanath and P. Cvitanović, Stable manifolds and the transition to turbulence in pipe flow. arxiv. J. Fluid Mech., vol. 627 (2009), p. 215-233. J. Fluid Mech., vol. 627 (2009), p. 215-233.
- J. Halcrow, J.F. Gibson, P. Cvitanović and D. Viswanath, Heteroclinic connections in plane Couette flow. link. J. Fluid Mech., vol. 611 (2009), p. 365-376.
- D. Viswanath, The critical layer in pipe flow at high Reynolds number. arxiv. Phil. Trans. Roy. Soc., vol. 367 (2009).
- D. Viswanath, The dynamics of transition to turbulence in plane Couette flow. arxiv. Mathematics and computation: a contemporary view. The Abel Symosium 2006. Springer-Verlag. Berlin. 2008.
- D. Viswanath, Recurrent motions within plane Couette turbulence. arxiv. J. Fluid Mech., 580 (2007), 339-358.
- M. Conger and D. Viswanath, Shuffling cards for blackjack, bridge, and other card games. arxiv.
- D. Viswanath, Stable manifolds and homoclinic points near resonances in the restricted three-body problem. arxiv. Celestial Mechanics and Dynamical Astronomy, 94 (2006), 213-235.
- M. Conger and D. Viswanath, Normal approximations for descents and inversions of permutations of multisets. arxiv. J. Theor. Probab., 20 (2007), 309-325.
- D. Viswanath, Linear stability analysis of resonant periodic motions in the restricted three-body problem. arxiv. Dynamics and Differential Equations, 17 (2005), 271-292.
- M. Conger and D. Viswanath, Riffle shuffles of decks with repeated cards. arxiv. Annals of Probability, 34 (2006), 804-819.
- D. Viswanath, The fractal property of the Lorenz attractor. link. Physica D, 190 (2004), 115-128.
- D. Viswanath, Symbolic dynamics and periodic orbits of the Lorenz attractor. link. Nonlinearity, 16 (2003), 1035-1056.
- D. Viswanath, How many timesteps for a cycle? Analysis of the Wisdom-Holman algorithm? BIT, 42 (2002), 194-205.
- D. Viswanath, The Lindstedt-Poincaré technique as an algorithm for computing periodic orbits. link. SIAM Review, 43 (2001), 479-495.
- D. Viswanath, Global errors of numerical ODE solvers and Lyapunov’s theory of stability. link. IMA J. Numer. Anal., 21 (2001), 387-406.
- D. Viswanath, Random Fibonacci sequences and the number 1.13198824...link. Math. Comp., 69 (2000), 1131-1155.
- D. Viswanath and L.N. Trefethen, Condition numbers of random triangular matrices. link. SIAM J. Matrix. Anal. Appl., 19 (1998), 564-581.