Divakar Viswanath

photo of dv

Divakar Viswanath

Professor of Mathematics
University of Michigan
530 Church Street
Ann Arbor, MI 48103
email: divakar(at)umich(dot)edu


BTech in Computer Science and Engineering, IIT Bombay, 1992
PhD in Computer Science, Cornell University, 1998


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


  • 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.