January 1975 - August 1978. Officer, U.S. Navy. Instructor of Mechanical Engineering, U.S. Naval Academy, Annapolis, MD. Taught basic mechanical engineering courses.
September 1978 - July 1983. Assistant Instructor and Research Assistant, Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin. Taught basic engineering mechanics courses and did research on finite element methods, and numerical methods for initial value problems of ordinary differential equations.
July 1983 - July 1984. Consultant, Mechanics Software, Inc., Austin, TX. Algorithm development and implementation for a stress analysis program for solid fueled rocket bodies and engines.
August 1984 - August 1985. Post Doctoral Fellow and Assistant Professor, Department of Computer Science, University of Toronto, Canada. Research on Runge-Kutta and Runge-Kutta-Nystrom methods. Taught basic computer science courses.
August 1985 - August 1986. Visiting Assistant Professor of Mechanical Engineering, U.S. Naval Academy, Annapolis, MD. Taught computer graphics and structural mechanics, along with basic engineering courses. Did research on Runge-Kutta-Nystrom methods.
August 1986 - present. Associate Professor of Mechanical Engineering, Rose-Hulman Institute of Technology. Taught basic courses in mechanical engineering including graphics, statics, dynamics, fluid mechanics, kinematics and dynamics of machinery, and analysis of dynamic systems. Taught both introductory and advanced courses in finite elements. Was one of the original developers of Rose-Hulman’s Integrated First-Year Curriculum in Science, Engineering and Mathematics, and taught this course for three years. Was one of the developers of the Foundation Coalition Sophomore Curriculum courses, and taught in this curriculum for three years. Taught courses in the mathematics, physics and computer science areas. Taught technical communication.
August 1992 - July 1993. Senior Engineer, Mechanics Software, Inc., Austin, TX (Sabbatical Leave) Wrote theory and user’s manual for a finite element program used to model hyperelastic materials. Wrote notes for a short course on computation techniques in rubber engineering.
Private Consultant to the Delaware Machinery and Tool Co., Inc.,
of Muncie, IN, 1987 to 1990. Consultant to the Air Logic Measurement
Project at Rose-Hulman 1988 developing a technology to sense positioning
of dies in the aluminum die-casting process.
"Low Order Practical Runge-Kutta-Nystrom Methods," Fine, J.M.,
Computing, 38, 281- 297, (1987).
"Interpolants for Runge-Kutta-Nystrom Methods," Fine, J.M., Computing,
39, 27-42, (1987).
"Two-stage and Three-stage diagonally Implicit Runge-Kutta-Nystrom
Methods of Orders Three and Four," Sharp, P.W., J.M. Fine and K. Burrage.
IMA Journal of Numerical Analysis, 10, No. 4, 589-504, 1990.
"Some Nystrom Paris for the General Second Order Initial Value Problem,"
Sharp, P.W., and J.M. Fine. Journal of Computational and Applied
Mathematics, 42, No. 3, 279-291, 1992.
"A Contrast of Direct and Transformed Nystrom Paris," Sharp, P.W.,
and J.M. Fine, Journal of Computational and Applied Mathematics, 42, No.
3., 293-308, 1992.
"Spatial Problem Solving in an Integrated First Year Curriculum," Fine,
J.M. and L.R. Waite, Mathematica Journal, Spring 1991.
"Low Order Runge-Kutta-Nystrom Methods with Interpolants," Fine, J.M.,
Department of Computer Science Technical Report 183/85, University of Toronto,
1985.
"On the Efficiency of Nystrom Methods," Fine, J.M., Division of Engineering
and Weapons Report EW 27-86, United State Naval Academy, 1986.
"ERNY: An Explicit Runge-Kutta-Nystrom Integrator for Second
Order Initial Value Problems," Sharp, P.W. and J.M. Fine, Department of
Computer Science Technical Report 199/87, University of Toronto, 1987.
"User Guide for ERNY: An Explicit Runge-Kutta-Nystrom Integrator
for Second Order Initial Value Problems," Sharp, P.W., and J.M. Fine. Department
of Computer Science Technical Report 198/87, University of Toronto, 1987.
"R-stable (3,4) Singly Diagonally Implicit Runge-Kutta-Nystrom Paris
of Dispersive Orders Four and Six," Sharp, P.W. and J.M. Fine, Department
of Computer Science Technical Report 211/88, University of Toronto, 1988.
"Low Order Runge-Kutta Nystrom Methods with Interpolants," Fine, J.M.,
Ontario Numerical Analysis Day, University of Guelph, March 1985.
"Evaluation and Implementation of Runge-Kutta-nystrom Methods," 1986
O.D.E., Conference, Albuquerque, NM, July 1986.
"R-stable (3,4) Singly diagonally Implicit Runge-Kutta-Nystrom Paris
of Dispersive Orders Four and Six," Sharp, P.W. and J.M. Fine, The 1988
Conference on the Numerical Solution of I.V.P.'s for O.D.E.'s, Toronto,
Canada, June 1988.
"A New Course in Spatial Problem Solving," Fine, J.M., and L.R. Waite,
Proceedings of Compugraphics '91, First International Conference on Computational
Graphics and Visualization Techniques, September 1991, Sesimbra Portugal.
"CAD Instruction in the Integrated Freshman Curriculum, Fine, J.M.,
and D.L. Dekker, Conference Proceedings of NCGA '91, April 1991, Chicago,
Illinois.