Chronological List of All Publications

Non-negative Solutions of ODEs, Applied Mathematics and Computation, to appear, with L.F. Shampine, J.A. Kierzenka, and G.D. Byrne.
A MATLAB Implementation of Upwind Finite Differences and Adaptive Grids in the Method of Lines, to appear, with A. Vander Wouwer, P. Saucez, and W. E. Schiesser.
A Friendly Fortran 90 DDE Solver, Applied Numerical Mathematics, to appear, with L. F. Shampine.
Solving DDEs with dde23, Applied Numerical Mathematics, Volume 37, No. 4, June 2001, pp. 441-458, with L. F. Shampine.
Event Location for Ordinary Differential Equations, Computers and Mathematics with Applications, Volume 39, 2000, pp. 43-54, with L. F. Shampine.
Effect of Human Response Time on Rocking Instability of a Two--Wheeled Suitcase, Journal of Sound and Vibration, Volume 207, 1997, pp. 617-625, with S. Suherman, R. H. Plaut, and L. T. Watson.
DKLAG6: A Code Based on Continuously Imbedded Sixth Order Runge-Kutta Methods for the Solution of State Dependent Functional Differential Equations, Applied Numerical Mathematics, Volume 24, Numbers 2-3, 1997, pp. 319-330, with S. P. Corwin and D. Sarafyan.
Error Estimation and Step Size Control for Delay Differential Equation Solvers Based on Runge-Kutta-Sarafyan Methods, Computers and Mathematics with Applications, Volume 31, Number 6, 1996, pp. 1-11, with S. P. Corwin.
DKLAG6: Solution of Systems of Functional Differential Equations With State Dependent Delays, TR-96-002, Computer Science Department Technical Report Series, Radford University, Radford, Virginia, 1996, with S. P. Corwin.
GOOSEPACK: A Paradigm for the Parallel Solution of Method of Lines Problems Using Preconditioned Krylov Methods on Distributed Memory Computers, Third International Congress on Industrial and Applied Mathematics, (Hamburg, Germany, July 1995), Proceedings Volume 1:Numerical Analysis, Scientific Computing, Computer Science, G. Alefeld, O. Mahrenheit, and R. Mennicken (eds.), Akademie Verlag, 1996, pp. 259-263, with S. C. Chu.
Solution of State Dependent Systems of Functional Differential Equations, TR-95-001, Computer Science Department Technical Report Series, Radford University, Radford, Virginia, 1995, with S. P. Corwin.
An Inequality Involving the Inverse Cotangent Function, Virginia Mathematics Teacher Problem Corner, Problem #43: Volume 20, Number 3, p. 37, Spring, 1994.; Solution: Volume 21, Number 1, pp. 35-37, Fall, 1994.
An Interesting Property of the Polynomials y = x^{2n+1}, Virginia Mathematics Teacher Problem Corner, Problem #44: Volume 20, Number 3, p. 37, Spring, 1994.; Solution: Volume 21, Number 1, pp. 37-38, Fall, 1994.
On the Zeroes of a Certain Family of Polynomials, Virginia Mathematics Teacher Problem Corner, Problem #45: Volume 20, Number 3, p. 38, Spring, 1994.; Solution: Volume 21, Number 1, pp. 39-41, Fall, 1994.
Recent Developments in Parallel Method of Lines Solutions of Partial Differential Equations, Proceedings of the 14th IMACS World Congress on Computational and Applied Mathematics, pp. 1350-1352, Georgia Tech University, Atlanta, Georgia, July 1994, with S. Chu, et al.
DRAKE - Continuous Simulation Software for the Solution of Delay Differential Equations on Personal Computers, TR-93-001, Computer Science Department Technical Report Series, Radford University, Radford, Virginia, 1993, with S. P. Corwin.
Software for the Numerical Solution of Systems of Functional Differential Equations With State-Dependent Delays, Applied Numerical Mathematics, Volume 9, 1992, pp. 385-401, with K. W. Neves.
DRKLAG: Solution of Systems of Functional Differential Equations With State Dependent Delays, TR-92-003, Computer Science Department Technical Report Series, Radford University, Radford, Virginia, 1992, with K. W. Neves.
Experiments With An Ordinary Differential Equation Solver in the Parallel Solution of Method of Lines Problems, in Recent Advances in Numerical Methods and Software for ODEs/DAEs/PDEs, World Scientific Press Publishers, 1992, pp. 7-36, with D. K. Kahaner, et al.
Experiments With An Ordinary Differential Equation Solver in the Parallel Solution of Method of Lines Problems - Part II, Advances in Computer Methods for Partial Differential Equations VII, R. Vichnevetsky, D. Knight, and G. Richter (eds.), Proceedings of the Seventh IMACS International Symposium on Computer Methods for Partial Differential Equations, Rutgers University, June, 1992, pp. 404-410, with D. K. Kahaner, et al.
Software for the Numerical Solution of Systems of Functional Differential Equations With State-Dependent Delays, Applied Numerical Mathematics, Volume 9, 1992, pp. 385-401, with K. W. Neves.
Experiments With An Ordinary Differential Equation Solver in the Parallel Solution of Method of Lines Problems, Journal of Computational and Applied Mathematics, Volume 38, 1991, pp. 231-253, with D. K. Kahaner, et al.
Stepsize Control for Delay Differential Equations Using a Pair of Continuously Imbedded Runge-Kutta-Sarafyan Methods, Journal of Computational and Applied Mathematics, Volume 31, 1990, pp. 267-275.
Magnetically Suspended Centrifuge for Studies of Nonlinear Phenomena in Stratified Fluids: Developmental Aspects, American Institute of Physics, Review of Scientific Instruments, Volume 60, No. 10, 1989, pp. 3293-3300, with W. F. Lawkins, et al.
On the Use of Rootfinding ODE Software for the Solution of a Common Problem in Nonlinear Dynamical Systems, Journal of Computational and Applied Mathematics, Volume 28, 1989, pp. 219-230, with D. K. Kahaner and W. F. Lawkins.
Continuous Simulation on Personal Computers, SIAM News, July 1989.
Differential Equations Solvers in the SLATEC Mathematical Software Library, Oak Ridge National Laboratory, August 1989.
Molecular Dynamics of a Polymer Model on a Hypercube Computer, Computers and Chemistry, Volume 12, Number 1, 1988, pp. 15-20, with J. B. Drake, et al.
A Bouncing Ball Problem, Problem #1271, Mathematics Magazine, June 1987, p. 179 (problem), June 1988, pp. 202-203 (solution).
Stability of Some Continuously Imbedded Runge-Kutta Methods of Sarafyan, Computers and Mathematics with Applications, Volume 13, Number 8, 1987, pp. 677-680.
A Collection of Problems for Testing Rootfinding ODE Solvers, Oak Ridge National Laboratory, ORNL-9912, August 1987.
A Project to Experimentally and Theoretically Examine Fluid Interfacial Wave Phenomena in a Rotating Cylindrical Geometry: Current Results and Future Plans, Oak Ridge National Laboratory, ORNL-6419, September 1987, with W. F. Lawkins, et al.
Experiments With Method of Lines Solvers On a Shared Memory Parallel Computer, Advances in Computer Methods for Partial Differential Equations VI, Proceedings of the Sixth IMACS International Symposium on Computer Methods for Partial Differential Equations, Lehigh University, 1987, pp. 161-166, with E. Ng and P. G. Tuttle.
Implementation and Evaluation of Several Continuously Imbedded Methods of Sarafyan, ORNL-10434, August 1987.
Stability of Some Continuously Imbedded Runge-Kutta Methods of Sarafyan, Computers and Mathematics with Applications, Volume 13, Number 8, 1987, pp. 677-680.
The Effect of Pivoting in Sparse Ordinary Differential Equation Solvers, Computers and Mathematics with Applications, Volume 12A, Number 12, 1986, pp. 1183-1191.
Remarks on the Choice of a Stiff Ordinary Differential Equation Solver, Computers and Mathematics with Applications, Volume 12A, Number 11, 1986, pp. 1125-1141.
Benchmark Fluid Flow Problems for Continuous Simulation Languages, Computers and Mathematics with Applications, Volume 12A, Number 3, 1986, pp. 345-352, with P. G. Tuttle.
A Quantitative Assessment of the Effect of Pivoting in Sparse Ordinary Differential Equation Solvers, Oak Ridge National Laboratory, ORNL-6207, May 1986.
On the Use of CORLIB Subroutines for the Solution of a Model Fluid Flow Problem, Oak Ridge National Laboratory, ORNL-10038, December 1986.
Remarks on the Choice of a Stiff Ordinary Differential Equation Solver for Fluid Flow Problems, Oak Ridge National Laboratory, ORNL-6189, March 1986.
Rootfinding and Interpolation with Runge-Kutta-Sarafyan Methods, Transactions of the Society for Computer Simulation, Volume 2, Number 3, 1985, pp. 207-218.
Software for Rootfinding and Interpolation Using Runge-Kutta-Sarafyan Methods, Oak Ridge National Laboratory, ORNL-6151, September 1985.
The Solution of Several Representative Stiff Problems in an Industrial Environment: The Evolution of an O.D.E. Solver, Proceedings of the International Conference on Stiff Computation, Volume 3, April 1982, with P. G. Tuttle. Also appears in Stiff Computation, R. C. Aiken (ed.), Oxford University Press, 1985, pp. 180-193.
A New Approach to the Management of Standard Mathematical Libraries at Babcock and Wilcox, Babcock and Wilcox Company, May 1984.
BASIC Numerical Analysis Programs for Engineering and Scientific Calculations, Babcock and Wilcox Company, April 1984.
Benchmark Fluid Flow Problems for Continuous Simulation Languages, Babcock and Wilcox Company, UPGD-TR-181, September 1984, with P. G. Tuttle.
Event Detection in Continuous Simulation, Proceedings of the International Conference on Power Plant Simulation, Cuernavaca, Morelos, Mexico, November 1984, pp. 341-345, with P. G. Tuttle.
The Babcock & Wilcox STACSL Integration Options in ACSL, Proceedings of the Modular Modeling System (MMS-02) Meeting, New Orleans, Louisiana, September 1984, with P. G. Tuttle.
Thoughts on the Design of Mathematical Software for Use by Industry, Student Communications, Operations Research Society of America, September 1984, with P. G. Tuttle.
Understanding DSTPGT: An Introduction to the Numerical Solution of Ordinary Differential Equations, Babcock and Wilcox Company, UPGD-TM-8, February 1983.
Using STACSL for the Solution of Continuous Simulation Problems, Babcock and Wilcox Company, UPGD-TM-18, May 1983.
OASIS: A Computer Program for Once-Through Steam Generator Analysis with Continuous Space Integration at Steady State, Babcock and Wilcox Company, UPGD-TM-16, March 1983, with A. C. Hutter and K. W. Turner.
Automatic O.D.E. Software for Use in an Industrial Environment, Advances in Computer Methods for Partial Differential Equations X, Proceedings of the Tenth IMACS World Congress on Systems Simulation and Scientific Computation, August 1982, pp. 440-442, with P. G. Tuttle. Also appears in Modeling and Simulation in Engineering, W. F. Ames (ed.), pp. 53-56.
Stiffly Stable Fourth Order Adams Methods, Journal of Computational and Applied Mathematics, Volume 8, Number 4, 1982, pp. 253-256.
The Non-Existence of Certain A_0-Stable Adams-Type Correctors, Journal of Computational and Applied Mathematics, Volume 8, Number 3, 1982, pp. 155-157.
A Note on the Relative Efficiencies of Adams Methods, Computers and Mathematics with Applications, Volume 7, Number 5, 1981, pp. 401-403, with D. J. Rodabaugh.
A Non-Equilibrium Flashing Model for Rapid Pressure Transients, ASME Paper 81-AT-35, 1981, with F. Aguilar.
Predictor and Corrector Methods with Increased Ranges of Relative Stability, Babcock and Wilcox Company, NPGD-TRG-81-9, September 1981.
Stable Correctors, Babcock and Wilcox Company, NPGD-TRG-81-8, September 1981.
The Evolution of an O.D.E. Solver in an Industrial Environment, Babcock and Wilcox Company, NPGD-TRG-81-5, June 1981, with P. G. Tuttle.
UPIFLOD: Upper Plenum and Cold Leg Injection Reflooding Program, Babcock and Wilcox Company, NPGD-TM-591, February 1981, with P. A. Treventi, et al.
DSTPGT: Automatic Software for the Numerical Solution of Differential Equations, Babcock and Wilcox Company, NPGD-TM-521, January 1980, with P. G. Tuttle.
KAPP V1: Digital Code for the Simulation of Primary System Transients in Pressurized Water Reactors, Babcock and Wilcox Company, NPGD-12-1102640-02, August 1980, with P. G. Tuttle, et al.
Low-Order A_0-Stable Adams Methods, Journal of Computational and Applied Mathematics, Volume 5, Number 3, 1979, pp. 225-233, with D. J. Rodabaugh.
COUPLA: Calculation of Coupled Heat Exchanger Performance, Babcock and Wilcox Company, NPGD-TR-78-13, June 1978, with K. W. Turner.
Adams-Type Methods with Increased Ranges of Stability, Computers and Mathematics with Applications, Volume 4, Number 4, 1978, pp. 349-357, with D. J. Rodabaugh.
Optimally Stable Fifth Order Integration Methods: A Numerical Approach, International Journal of Mathematical Sciences, Volume 1, 1978, pp. 521-537, with D. J. Rodabaugh.
A Comparison of Available Software for the Numerical Solution of Stiff Ordinary Differential Equations, Babcock and Wilcox Company, NPGD-TM-368, June 1977.
Corrector Methods with Increased Ranges of Relative Stability, Computers and Mathematics with Applications, Volume 3, Number 3, 1977, pp. 197-201, with D. J. Rodabaugh.
Standard Mathematical Subroutine Library, Babcock and Wilcox Company, NPGD-TM-363, March 1977, with L. L. Barinka, et al.
Performance of Vectorized Mathematical Software, Babcock and Wilcox Company, NPGD-TM-346, June 1976, with L. L. Barinka, et al.