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.

The Mathematics and Computer Science Division (and its predecessor, the Applied Mathematics Division) of Argonne National Laboratory has been my home base since 1969. I have held visiting positions at several universities in the U.S. and abroad, and have served the mathematics community twice as Program Director in the Division of Mathematical Sciences of the National Science Foundation, 2001-'04 and 2005-'08.

I retired from Argonne in December 2008 but retain my affiliation with the laboratory as Senior Mathematician Emeritus. I continue my research activities in the comfort of my home in Washington, DC, while enjoying the many cultural offerings in the nation's capital. (Did you know that Washington, DC, has no vote in the United States Congress? The official reason for this colonial status can be found in the U.S. Constitution, Article 1, Section 8, Clause 17. The unofficial slogan of the District of Columbia is "Taxation without Representation.")

My current academic affiliations are with Georgetown University in Washington, DC, where I am Adjunct Professor in the Department of Mathematics and Statistics, and the University of Illinois at Urbana-Champaign, where I am Adjunct Professor in the School of Music.

My current coordinates are given below.

Current Research Interests and Relevant Papers

  • Applied Dynamical Systems
  • H. G. Kaper, S. Wang, and M. Yari, Dynamical Transitions of Turing Patterns, Nonlinearity, accepted for publication; preprint ANL/MCS-P1540-0908, September 2008 (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 (abstract and full text in pdf)
  • A. Zagaris, H. G. Kaper, and T. J. Kaper, Two Perspectives on Reduction of Ordinary Differential Equations, Math. Nachrichten 278, 2005, 1629-1642 (full text 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 (abstract); preprint ANL/MCS-P1223-0205, February 2005 (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 -- subscribers only); preprint ANL/MCS-P1381-0206, February 2006 (preprint in pdf)
  • 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 (abstract); preprint ANL/MCS-P1353-0606, June 2006 (preprint in pdf)
  • 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 (abstract)
  • 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, Preprint ANL/MCS-P1359-0706, July 2006 (preprint in 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 -- subscribers only)
  • 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 (full text in pdf)

    • Recent Presentations

  • Reduction Methods for Systems of ODEs
  • Department of Mathematics, George Mason University, Fairfax, VA; March 6, 2009
  • Department of Mathematics, Cornell University, Ithaca, NY; February 13, 2009
  • Department of Mathematics, North Carolina State University at Charlotte, Charlotte, NC; November 12, 2008
  • What goes into a good proposal, where do I send it, and what happens to it?
  • Department of Mathematics, North Carolina State University at Charlotte, Charlotte, NC; November 13, 2008
  • Connections for Women: Dynamical Systems, MSRI, Berkeley, CA; January 19, 2007

    • 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, employment history, and experience

    • Coordinates

    Senior Mathematician Emeritus Adjunct Professor Adjunct Professor
    Home Address Department of Mathematics and Statistics
    Georgetown University     		School of Music
    University of Illinois at Urbana-Champaign
    3335 Reservoir Rd, NW St. Mary's Hall 338A, Georgetown University 1114 W. Nevada St.
    Washington, DC 20007 Washington, DC 20057-1233 Urbana, IL 61801
    (202) 333-2902 (202) 687-6214 (217) 333-6689
    kaper@mcs.anl.gov kaper@georgetown.edu kaper@illinois.edu

    MCS Division home page

    Last update: December 2008