Hans G. Kaper

 

Greetings and Welcome to My Home Page!

I am an applied mathematician interested in the mathematics of physical systems. My research focuses on the development of analytical and numerical methods for differential equations describing these systems.

I am currently on assignment to the National Science Foundation, where I serve as Program Director for Applied Mathematics in the Division of Mathematical Sciences.

Current Research Interests and Relevant Papers

  • Applied Dynamical Systems
  • H. G. Kaper, S. Wang, and M. Yari, Formation and Persistence of Spatiotemporal Turing Patterns, submitted for publication (preprint in pdf)
  • L. V. Kalachev, H. G. Kaper, T. J. Kaper, N. Popovic, and A. Zagaris, Reduction for Michaelis-Menten-Henri Kinetics in the Presence of Diffusion, in: Proc. 2006 International Conference in Honor of Jacqueline Fleckinger, Electronic Journal of Differential Equations, Conference 16, 2007, 155-184 (full text)
  • A. Zagaris, H. G. Kaper, and T. J. Kaper, Two Perspectives on Reduction of Ordinary Differential Equations, Math. Nachrichten 278, 2005, 1629-1642 (preprint in pdf)
  • A. Zagaris, H. G. Kaper, and T. J. Kaper, Fast and Slow Dynamics for the Computational Singular Perturbation Method, SIAM J. Multiscale Modeling and Simulation 2, 2004, 613-638 (preprint in pdf)
  • Mathematical Biology
  • D. Karpeev, I. S. Aranson, L. S. Tsimring, and H. G. Kaper, Interactions of Semiflexible Filaments and Molecular Motors, Phys. Rev. E 76, 2007, 051905 (full text)
  • Micromagnetics
  • M. Yan, G. Leaf, H. Kaper, V. Novosad, P. Vavassori, R. E. Camley, and M. Grimsditch, Dynamic Origin of Stripe Domains in Cobalt Bars, J. of Magnetism and Magnetic Materials 310, 2007, 1596-1598 (full text)
  • G. Leaf, H. Kaper, M. Yan, V. Novosad, P. Vavassori, R. E. Camley, and M. Grimsditch, Dynamic Origin of Stripe Domains, Phys. Rev. Lett. 96, 2006, 017201 (full text)
  • R. E. Camley, G. Leaf, H. Kaper, M. Yan, and M. Grimsditch, Phase Transitions and Reversal Mechanisms in Nanosized Magnetic Bars: The Influence of Bulk and Localized Spin Wave Modes, ANL/MCS-P1359-0706, July 2006 (pdf)
  • M. Yan, G. Leaf, H. Kaper, R. Camley, and M. Grimsditch, Spin-Wave Modes in a Cobalt Square Vortex: Micromagnetic Simulations, Phys. Rev. B, 73, 014425, 2006 (full text)
  • Scientific Sonification
  • H. G. Kaper and S. Tipei, DISSCO: A Unified Approach to Sound Synthesis and Composition, Proc. Int'l Computer Music Conference, Barcelona, Spain (September 2005); pp. 375-378 (preprint in pdf)

    • Recent Presentations

  • What goes into a good proposal, where do I send it, and what happens to it? Connections for Women: Dynamical Systems, MSRI, Berkeley, CA; January 19, 2007
  • Reduction Methods for Systems of ODEs, Department of Mathematics, Georgetown University, Washington, DC; April 7, 2006
  • Reduction Methods for Systems of ODEs, Department of Mathematics, University of Houston, Houston, TX; March 9, 2006
  • Reduction Methods for Systems of ODEs, Department of Mathematics, Indiana University, Bloomington, IN; February 9, 2006

    • Books

  • H. G. Kaper and M. Garbey, eds., Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters, Kluwer, Dordrecht, 1993
  • H. G. Kaper, C. G. Lekkerkerker, and J. Hejtmanek, Spectral Methods in Linear Transport Theory, Birkhäuser Verlag, Basel, 1982

    • Vita

  • pdf file: basic information about education and experience

    • Coordinates

    Program Director Senior Mathematician
    Division of Mathematical Sciences Mathematics and Computer Science Division
    National Science Foundation Argonne National Laboratory
    (703) 292-4859 (630) 252-7160
    hkaper@nsf.gov kaper@mcs.anl.gov

    MCS Division home page

    Last update: November 2007