Jones, Jim

Associate Professor
Mathematical Sciences Department

Educational Background

Ph.D.  University of Colorado, Denver


 

Professional Experience

Dr. Jones' training, job experience, and research interests are in the field of computational mathematics. 

Before coming to Florida Tech, he worked at Lawrence Livermore National Laboratory (LLNL) on parallel solvers for partial differential equations.  He was one of the developers of the hypre package, a library of fast parallel solvers.

Prior to LLNL, Dr. Jones held a post-doc position at the Institute for Computer Applications in Science and Engineering (ICASE) at NASA Langley. 

  • Associate Professor, Florida Tech, 2004-Present
  • Staff Scientist, Lawrence Livermore National Laboratory, 1997-2004
  • Staff Scientist, NASA Langley, 1995-1997

 

Current Research

Dr. Jones' research is focused on parallel multigrid solvers for various applications, particularly coastal ocean applications.  Recent Ph.D. graduate (Anjali Ram 2011) worked on multigrid solvers for the "z-meshes" used in the application as well as fast algebraic multigrid solvers. Recent M.S. graduate (Osita Onyejekwe 2012) worked on extending the robustness of the underling semicoarsening multigrid method. 

Dr. Jones is PI on the grant, MRI: Acquisition of a Computational Science and Engineering Parallel Cluster, National Science Foundation, 2009-2013, which helped purchase the Blueshark cluster at Florida Tech.

Selected Publications

T. Chartier, R.D. Falgout, V.E. Henson, J. Jones, T. Manteuffel, S. McCormick, J. Ruge, and P.S. Vassilevski, "Spectral element agglomerate AMGe", Domain Decomposition Methods XVI, Spinger, 2007.

J. Jones and B. Lee, "A Multigrid Method for Variable Coefficient Maxwell's Equations", SIAM J. Sci. Comput., 27(2006), pp. 1689-1708.

R.D. Falgout, J.E. Jones, and U.M. Yang, "The Design and Implementation of hypre, a Library of Parallel High Performance Preconditioners", chapter in Numerical Solution of Partial Differential Equations on Parallel Computers, Springer, 2006.

R.D. Falgout, J.E. Jones, and U.M. Yang, "Conceptual Interfaces in hypre", Future Generation Computer Systems, Special Issue on PDE software, 22(2006), pp.239-251.

R.D. Falgout, J.E. Jones and U.M. Yang, "Pursuing Scalability for hypre's Conceptual Interfaces", ACM Transactions on Mathematical Software, 21(2005), pp.326-350.

T. Chartier, R.D. Falgout, V.E. Henson, J. Jones, T. Manteuffel, S. McCormick, J. Ruge, and P.S. Vassilevski, "Spectral AMGe (pAMGe)", SIAM J. Sci. Comput., 25 (2003), pp. 1-26.

J. Jones and P. Vassilevski, "AMGe Based on Element Agglomeration", SIAM J. Sci. Comput., 23 (2001), pp. 109-133.

M. Brezina, A.J. Cleary, R.D. Falgout, V.E. Henson, J.E. Jones, T.A. Manteuffel, S.F. McCormick, and J.W. Ruge, "Algebraic Multigrid Based on Element Interpolation (AMGe)", SIAM J. Sci. Comput., 22 (2000), pp. 1570-1592.

P.N. Brown, R.D. Falgout, and J.E. Jones, "Semicoarsening Multigrid on Distributed Memory Machines", SIAM J. Sci. Comput., 21 (2000), pp. 1823-1834.

A.J. Cleary, R.D. Falgout, V.E. Henson, J.E. Jones, T.A. Manteuffel, S.F. McCormick, G.N. Miranda, and J.W. Ruge, "Robustness and Scalability of Algebraic Multigrid", SIAM J. Sci. Comput., 21 (2000), pp. 1886-1908.

R.D. Falgout and J.E. Jones, "Multigrid on Massively Parallel Architectures", in Multigrid Methods VI, Springer-Verlag, 2000, pp. 101-107.

C. Baldwin, P.N. Brown, R.D. Falgout, J. Jones, and F. Graziani, "Iterative Linear Solvers in a 2D Radiation-Hydrodynamics Code: Methods and Performance", J. Comp. Physics, 154 (1999), pp. 1-40.

Z. Cai, J. Jones, S. McCormick, and T. Russell, "Control-Volume Mixed Finite Element Methods'', Computational Geosciences, 1(1997), pp. 289-315.