Math/CS Algorithms Team for
Constrained Variational Problems


CLICK TO ENTER WILLIAM HAGER HOMEPAGE William Hager (UF Math) CLICK TO ENTER SHARI MOSKOW HOMEPAGE Shari Moskow (UF Math) CLICK TO ENTER TIMOTHY DAVIS HOMEPAGE Timothy Davis (UF CISE) CLICK TO ENTER PADMA RAGHAVAN HOMEPAGE Padma Raghavan (UT Computer Science) Asen Dontchev Asen Dontchev (Math Reviews) CLICK TO ENTER SOONCHUL PARK HOMEPAGE Soonchul Park (Math Postdoc) CLICK TO ENTER SHU-JEN HUANG HOMEPAGE Shu-Jen Huang (Math Grad Student)

SPRITES Lightning strike trigged by a flying airplane A numerically simulated flash
A numerically simulated flash


  • Algorithms Seminar
  • Applied Seminar 1999/2000
  • Applied Seminar 1998/1999
  • Applied Seminar 1997/1998

  • Severe Thunderstorm and Electrification Study (STEPS 2000):
  • Computational Optimization and Applications Software Forum
  • Sparse matrix collection
  • Comparisons of algorithms for graph partitioning
  • Orbit transfer problem

    Related Papers:
  • M. W. Berry, B. Hendrickson, and P. Raghavan, Performance of greedy ordering heuristics for sparse Cholesky factorization Sparse matrix reordering schemes for browsing hypertext
  • T. A. Davis and W. W. Hager, Modifying a Sparse Cholesky Factorization
  • T. A. Davis and W. W. Hager, Multiple-rank modifications of a sparse Cholesky factorization
  • A. L. Dontchev and W. W. Hager, The Euler approximation in state constrained optimal control
  • A. L. Dontchev and W. W. Hager, Appendix to the Euler approximation in state constrained optimal control
  • A. L. Dontchev and W. W. Hager, A new approach to Lipschitz continuity in state constrained optimal control
  • A. L. Dontchev and W. W. Hager, Lipschitzian stability for state constrained nonlinear optimal control
  • A. L. Dontchev, W. W. Hager, and V. M. Veliov Second-order Runge-Kutta approximations in constrained optimal control
  • A. L. Dontchev, W. W. Hager, and V. M. Veliov, Uniform convergence and mesh independence of Newton's method for discretized variational problems
  • A. L. Dontchev, W. W. Hager, K. Malanowski, and V. M. Veliov, On Quantitative Stability in Optimization and Optimal Control
  • W. W. Hager, Minimizing a quadratic over a sphere
  • W. W. Hager, Runge-Kutta methods in optimal control and the transformed adjoint system
  • W. W. Hager Iterative methods for nearly singular linear systems
  • W. W. Hager, A discrete model for the lightning discharge
  • W. W. Hager and S. Gowda, Stability in the presence of degeneracy and error estimation
  • W. W. Hager and Y. Krylyuk, Graph partitioning and continuous quadratic programming
  • W. W. Hager, S. C. Park, and T. A. Davis, Block exchange in graph partitioning
  • W. W. Hager, R. Rostamian, D. Wang, The wave annihilation technique and the design of nonreflective coatings
  • Postscript figures for Wave Annihilation paper,
  • M. T. Heath and P. Raghavan, Algorithms for Parallel Processing
  • S. Moskow, V. Druskin, T. Habashy, P. Lee, and S. Davydycheva, A finite difference scheme for elliptic equations with rough coefficients
  • E. G. Ng and P. Raghavan, Performance of greedy ordering heuristics for sparse Cholesky factorization
  • P. Raghavan, Distributed sparse Gaussian elimination and orthogonal factorization
  • P. Raghavan, Parallel ordering using edge contraction

  • Acknowledgments:
      Top Photo: Sprites. Enigmatic pillars of luminosity tower above a distant thunderstorm. An amplified CCD video camera recorded these displays during 1995 from a field site near Fort Collins, Colorado. A few lights mark the horizon, above which distant overcast is silhouetted by glow from intense lightning associated with the sprites. These high-altitude phenomena typically last a few tens of milliseconds and exhibit a characteristic structure of delicate tendrils merging into a vertical column. The sprite is topped by a diffuse crown spreading into the lower ionosphere(~90 km). (LOCKHEED MARTIN Palo Alto Research & Development Division)

      Middle Photo: Lightning strike trigged by a flying airplane (National Defense Academy, Japan)

      Bottom Photo: A numerically simulated cloud-to-ground flash with charge centers along z-axis (W. W. Hager, A discrete model for the lightning discharge, Journal of Computational Physics, 144 (1998), 137-150).

    Send Mail to frg@math.ufl.edu


    This page created by Soonchul Park