# Gustafson E. Karl

Professor

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

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

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,

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

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

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.

Reviewer for NSF, DOE, ARO, AFOSR, NCAR, ISF, NRC, SDSC, NCAR, SWON, MARSDEN, NSERC, FONDECYT, CROUCHER research proposals.

Refereeing for more than 65 journals

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