Lie groups and systems of nonlinear differential equations
Plasma physics
Group invariant difference schemes.
EDUCATION:
B.A. Physics Williams College June 1952
S.B. General Science Massachusetts Institute of Tech. June 1952
S.M. Nuclear Engineering Massachusetts Institute of Tech. June 1955
Sc.D. Nuclear Engineering Massachusetts Institute of Tech. Feb. 1958
ACADEMIC POSITIONS HELD:
Associate Professor of Nuclear Engineering, Texas A & M University, 1960-1962
Professor of Nuclear Engineering, Texas A & M University, 1962-1963
Associate Professor of Nuclear Engineering, Northwestern University, 1963-1966
Associate Professor of Nuclear Engineering, University of Illinois at Urbana-Champaign, 1966-1968
Professor of Nuclear Engineering, University of Illinois at Urbana-Champaign, 1968 - present
MAJOR CONSULTING ACTIVITIES
Consultant - Los Alamos National Laboratory, 1963 to present
(a) Chairman, Albino Consultants Panel, 1977, (Classified)
(b) X-Division Panel for Review of Nuclear Weapons and Inertial
Confinement Fusion Codes, 1980, (Classified)
Member, External Advisory Board, Defense Research Review, 1986-present (Classified)
Advisory Editor, Nuclear Science and Engineering, 1989-1997
HONORS AND AWARDS
Recipient, Finalist, Certificate of Recognition, Campus Award for Excellence in Undergraduate Teaching, University of Illinois, May 2, 1979
Recipient, Finalist, Certificate of Recognition, Campus Awrd for Excellence in Undergraduate Teaching, university of Illinois, May 6, 1981.
Recipient, Everitt Award for Teaching Excellence, College, University of Illinois, April 26, 1985.
Recipient, Distinguished Faculty Membership, Alpha Nu Sima Society, ANS, June 2, 1991.
Recipient, ANS Excellence in Undergraduate Teaching Award, 1990, 1995, 1997, 1999, 2002, 2008.
Recipient, Student Award for Excellence in Undergraduate Teaching, College of Engineering, University of Illinois, 2004.
Recipient, Graduate College Outstanding Mentor Award, University of Illinois, April 26, 2004.
Recipient, Rose Award for Teaching Excellence, College of Engineering, University of Illinois, April 25, 2008.
SELECT PUBLICATIONS:
ARTICLES IN JOURNALS
Axford, R.A., "Solutions of the NoH Problem for Various
Equations of State Using Lie Groups," Laser and Particle Beams,
18, 93-100 (2000).
ARTICLES IN CONFERENCE PROCEEDINGS
Axford, R.A., "Group Theory of Invariant Flux and Slope
Limiters," Proc. NECDC Conf., 1-14 (San Diego, CA, October, 1996).
Axford, R.A., "Lie Group Symmetry Properties of the Besnard-Harlow-Rawenzahn-Zemach
Spectral Turbulence Transport Model," Proc. JOWOG Conf., (Los
Alamos, NM, July, 1996), 1-14 (1996).
BULLETINS OR REPORTS
Axford, R.A., "Construction of Difference Equations Using
LIE Groups," DOE Research and Development Report, LA-13499, 1-71,
U.S. Dept. of Commerce, Springfield, Virginia (1998).
Axford, R.A., "Solutions of the NOH Problem for Various
Equations of State Using LIE Groups," DOE Research and Development
Report, LA-13497, 1-17, U. S. Dept. of Commerce, Springfield, Virginia
(1998).
Axford, R.A. "Two-Dimensional Diverging Shocks in a Non-Uniform
Medium," DOE Research and Development Report, LA-13498, 1-8,
U. S. Dept. of Commerce, Springfield, Virginia (1998).
Axford, R.A. "Applications of LIE groups and Gauge Functions
to the Construction of Exact Difference Equations for Initial and Two-Point
Boundary Value Problems," DOE Research and+ Development Report, LA-13978, 1-35,
U. S. Dept. of Commerce, Springfield, Virginia (2002).
Axford, R.A. "Notes on Methods for Deriving Green's Functions for the
Klein-Gordon Operator," DOE Research and Development Report, LA-14164, 1-44,
U.S. Dept. of Commerce, Springfield, Virginia (2004).
EDITORSHIP:
Advisory Editor, Nuclear Science and Engineering, 1989-1997
Member, External Advisory Board, Defense Research Review,
1986-present (classified)
SERVICE IN THE PAST THREE YEARS
PROFESSIONAL SOCIETY
American Society of Mechanical Engineers - Member
American Institute of Aero. & Astronautics - Member
American Nuclear Society - Member
Program Committee of Mathematics and Computation Division,
1980-present
UNIVERSITY
ADMINISTRATION:
Member of Dean W. Schowalter's Forward Planning Committee,
1993-1997
COLLEGE:
College of Engineering Executive Committee, 1997-present
College of Engineering Honors Council, Chairman, 1992-1996
College of Engineering Coop Advisory Committee
College of Engineering Engr.-Math Liaison Committee, Chairman,
1993-1996, 1999-present.
DEPARTMENT:
Nuclear Engineering Advisory Committee
Nuclear Engineering Admissions Committee and Honors &
Awards Committee
Secretary for the Nuclear Engineering Executive Committee
and Chairman for the Nuclear Engineering Committees that follow: Curriculum
Committee, Graduate Standing Committee, Promotions Committee, Ph.D.
Qualifying Exam Committee, Doctoral and Research Committee, Student
Recruitment Committee, Undergraduate Probation Committee, Graduate
Committee