Gustafson E. Karl

Department of Mathematics
University of Colorado at Boulder
Education :
B.S. Engineering Physics,Applied Mathematics 1958 - University of Colorado
B.S. Business Finance 1958 - University of Colorado
PhD Mathematics 1965 - University of Colorado
Career / Enployment :
2003- present, Complex systems analysis Laboratory, Aristotle University of Thessaloniki
1999 - 2005 Center for Neuroscience, Founding Member, Colorado
1996 - 2004: Member, Colorado Center for Chaos and Complexity
1990 - 2003: Member International Solvay Institutes for Physics and Chemistry, Brussels
1966 - 1968: Assistand Professor, Univ. of Minnesota
1988 - 2000: Founding Member, NSF Optoelectronic Computing Systems Center,
1973 - present: Professor of Mathematics ,University of Colorado
1971 - 1972: Invited Professor, ETH Lausanne
1968 - 1973:Associate Professor, Univ. of Colorado
1967 : Research Fellow, Battelle Institute, Geneva, Switzerland
1965 - 1966: NSF-NATO Postdoctoral Fellow
1963 - 1965: Research Associate,Univ. of Maryland
1960 - 1963: Physicist, Mathematician, U.S. Naval Research Lab.
1958 - 1960: Instructor, University of Colorado
Research and Expertise :
Applied Mathematics
Computational Mathematics
Pure Mathematics
Interdisciplinary Mathematics
Mathematical Physics
Fluid Dynamics
Neural Networks
Optical Computing
Chaotic Systems
Principal Investigator of more than 70 grants.
Direction of 20 Ph.D. dissertations.
Honors and Awards:
Shanghai, China, Lectures, 2010
Vietnam Lectures, 2005.
Switzerland-Germany Lectures, 2003.
Scandinavian Lectures, 2002
Professor Invite Lectures, France, 2000
Keynote Conference Opening Address, UMC2K, Belgium, 2000
Honorary Member, International Solvay Institutes, 1995-2004
Keynote Lectures, Isfahan, Iran, 1998
Distinguished Lecture Series, Tokyo/Kyoto, Japan, 1995
China Lectures, 1994
The Kolmogorov Lecturer, Moscow, Russia, 1993
Keynote Address, S.N. Bose Platinum Jubilee Conference, India, 1992
Rector's Award and Lectures, Colombia, S.A., 1990
State of Kansas Annual Mathematics Research Lecturer, 1988-89
Faculty Research Fellow, University of Colorado, 1971-72, 1978-79, 1987-88
Best 'leacher Award, The Working Presa;•1978
3ieme Cycle Lecturer, Switzerland, 1976
NSF-NATO Postdoctoral Fellow, 1965-66
Presidential Service Award (Team), NRL, 1962
Additional Academic Duties:
Chair, Nobel Laureate I. Prigogine Lecture, University of Colorado;
Chair, IMACS Tech. Committee on Computational Physics/Chemistry;
Chair, Mathematical Physics Doctoral Program;
Editor, Mathematics and Computers in Simulation;
Guest Editor, Computer Physics Communications 65;
Guest Editor, Physica 124 A.
Scientific Publications:
More than 270 published original papers in over 70 journals including:
Bull. Amer. Math. Society, SIAM J. Appl. Math, SIAM Review, Pacific J. Math, Math. Zeitschrift, Amer. Math. Monthly, J. Math. and Mech., J. Math. Anal. Applic., Proc. Camb. Phil. Soc., Acta Sci. Math., J. Math. Soc. Japan, Proc. Amer. Math. Soc., Rend. Mat., Michigan Math. J., J. Funct. Anal., Archiv Rat. Mech. Anal., Israel J. Math., Helvetical Phys. Acta, Sociedad Mat. Mexicana, Indiana Univ. Math. J., Letters Math. Physics, Physica A, Advances in Mathematics, J. Approx. Theory, Zeit. Angewandte Math. Und Physik, SIAM J. Numerical Anal., J. Computational Physics, !MACS Transactions Sci. Computation, Inter. J. Numer. Method. Fluids, Math. Modelling, SIAM J. Alg. Discrete Methods, Num. Meth. Part. Difl'. Eqns.,
Appl. Math. and Computation, J. Statistical Physics, Applied Numerical
Mathematics, Colloquia Math. Soc. Janos Bolyai, Contemporary Mathematics, Computer Physics Communications,
Adv. in Neural Information Processing Systems, Int. J. Comp. and ·Math. in Elec. and Electronic Engineering, Progress in Neural Nets, Mathematical Modelling and Scientific Computing, Computational Fluid Dynamics J., Linear and Multilinear
Algebra, Linear Algebra and Applications, Network: Comput. Neural Systems, Mathematical and Computer Modelling, Physics Letters A, Theoretical and Computational Fluid Dynamics, Numerical Lin. Alg. With Applic., Connection Science, Mathematical Intelligencer, Chaos Solitons and Fractals, Differential Equations, Computers Math. Applic., Computational Technologies, J. Scientific Exploration, Infinite Dimensional Analysis Quantum Probability and Related Topics, Canadian Math Society, Physics Today, Mind and Matter, Discrete
Dynamics in Nature and Society, GITOH, Advances in Chemical Physics, RIMS Kokyuroku, International J. of Quantum Chemistry, Quantum Computers and Computing, Rocky Mountain J. of Mathematics, International J. of Mathematics and Mathematical Sciences, Research Letters in the Information and Mathematical Sciences, International J. of Theoretical Physics, Operator Theory: Advances and Applications, International Statistical Review, Journal of Applied Mathematics and Decision Sciences, J. of Multivariate Analysis, Foundations of Physics.
15 books including:
Introduction to Partial Differential Equations and Hilbert Space Methods, 1st Edition (1980), 2nd Edition (1987), John Wiley & Sons, 3rd Edition (1991, 1992) Kaigai Publishers (in Japanese), (1993) International Journal
Services, {India), 3rd Edition, Revised, Dover Publications (1999).
Vortex Methods and Vortex-Motion, (with J. Sethian), SIAM, (1990).
Numerical Range, {with D. Rao), Springer, (1997).
Lectures on Computational Fluid Dynamics, Mathematical Physics, and Linear Algebra, Kaigai, Tokyo, 1996, World Scientific, Singapore, 1997.
Invited Addresses:
More than 300 invited addresses including more than 100 International Conferences in more than 35 countries.

Refereeing for more than 65 journals