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ALEXANDER, R. Diagonally implicit Runge-Kutta methods for stiff ODes. SIAM J. Numer.Anal 14, 6 (1977), 1006-1021.

2

BURRAGE, K. A special family of Runge-Kutta methods for solving stiff differential equations. BIT 18, 22 (1978).

3

BURRAGE, K., BUTCHER, J. C., AND CHIPMAN, F. H. An implementation of singly-implicit Runge- Kutta methods, BIT 20, 3 (1980), 326-340.

4

BUTCHER, J. C., BURRAGE, K., AND CHIPMAN, F. H. STRIDE stable Runge-Kutta integrator for differential equations, Report Series No. 150, University of Auckland, Auckland, New Zealand (1979).

5

EHLE, B. L. A comparison of numerical methods for solving certain stiff ordinary differential equations. Report Number 70, University of Victoria, Victoria, B.C., Canada (1972).

6

ENRIGHT, W. H. Using a testing package for the automatic assessment of numerical methods for ODEs. In Performance Evaluation of Numertcal Software, Lloyd Fosdick (Ed.), Elsevier-North- Holland, New York (1979), pp. 199-213.

7

GAFFNEY, P. W. Apphed numerical analysis in a scientific establishment. In preparation.

8

GAFFNEY, P. W. A survey of FORTRAN subroutines suitable for solving stiff oscillatory ordinary differential equations. Oak Ridge National Laboratory Rep. ORNL/CSD/TM-134 (1981).

9

GAFFNEY, P. W., HICKS, H. R., AND CARRERAS, B. The method of lines solution of the reduced resistive MHD equations. Oak Ridge National Laboratory Rep. ORNL/CSD/TM-133 (1982).

10

C. William Gear, Numerical Initial Value Problems in Ordinary Differential Equations, Prentice Hall PTR, Upper Saddle River, NJ, 1971

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HINIMARSH, A. C. GEAR: Ordinary differential equation system solver. Report UCID-30001, Lawrence Livermore Laboratory, Berkeley, CA, Rev. 3 (1974).

12

HINI)MARSH, A. C. GEARB: Solution of ordinary differential equations having banded Jacobian. Report UCID-30059, Rev. 2, Lawrence Livermore Laboratory, Berkeley CA (1977).

13

HINI)MARSH, A C. LSODE, and LSODI, two new initial value ordinary differential equation solvers ACM SIGNUM Newsletter 15, 4, ACM, New York (1980), 10-11.

14

HINDMARSH, A. C. Toward a systematized collection of ODE Solvers. In Proc lOth IMACS World Congress on Systems Simulatmn and Scientific Computation, Montreal, Canada (Aug. 1982).

15

Fred T. Krogh, On Testing a Subroutine for the Numerical Integration of Ordinary Differential Equations, Journal of the ACM (JACM), v.20 n.4, p.545-562, Oct. 1973  [doi>10.1145/321784.321786]

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LAMBERT, J. D. Computational Methods in Or&nary Differential Equations. Wiley, New York (1977).

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LAMBERT, J. D. The initial value problem for ordinary differential equatmns. In The State of the Art in NumencalAnalysis, D. A. H. Jacobs (Ed.), Academic Press, N.Y. (1977), pp. 451-500.

18

LAMBERT, J. D. Stiffness. In Computational Techniques for Ordinary Differential Equations, I. Gladwell and D. K. Sayers (Eds.), Academic Press, N.Y. (1980), pp. 20-46.

19

MIRANKER, W L. AND WAHBA, G. An averaging method for the stiff highly oscillatory problem. Math. Comput. 30, 185 (1976), 383-399.

20

PROTHERO, A. AND ROBINSON, A. On the stability and accuracy of one-step methods for solving stiff systems or ordinary differentml equations. Math. Comput. 28, 125 (1974), 145-162.

21

Robert D. Skeel , Antony K. Kong, Blended Linear Multistep Methods, ACM Transactions on Mathematical Software (TOMS), v.3 n.4, p.326-345, Dec. 1977  [doi>10.1145/355759.355762]

22

Joel M. Tendler , Theodore A. Bickart , Zdenek Picel, A stiffly stable integration process using cyclic composite methods, ACM Transactions on Mathematical Software (TOMS), v.4 n.4, p.339-368, December 1978  [doi>10.1145/356502.356495]

23

WARMING, R. F. AND BEAM, M. An extension of A-stability to alternating direction implicit methods. BI.T 19, (1979), 395-417.

24

WlDLUND, O. B. A note on unconditmnally stable linear multistep methods. BIT 7, (1967), 65- 70.

25

WOLFBRANDT, A. A study of Rosenbrock processes with respect to order conditmns and stiff stability. Rep. 77.01 R, Chalmers University of Technology and the University of Goteborg, Department of Computer Scmnces (1977).

P. E. Tischer , G. K. Gupta, An evaluation of some new cyclic linear multistep formulas for stiff ODEs, ACM Transactions on Mathematical Software (TOMS), v.11 n.3, p.263-270, Sept. 1985

J. C. Butcher, Towards efficient implementation of singly-implicit methods, ACM Transactions on Mathematical Software (TOMS), v.14 n.1, p.68-75, March 1988

Gopal K. Gupta , Ron Sacks-Davis , Peter E. Tescher, A review of recent developments in solving ODEs, ACM Computing Surveys (CSUR), v.17 n.1, p.5-47, March 1985

P. W. Gaffney , C. A. Addison , B. Andersen , S. Bjørnestad , R. E. England , P. M. Hanson , R. Pickering , M. G. Thomason, NEXUS: towards a problem solving environment (PSE) for scientific computing, ACM SIGNUM Newsletter, v.21 n.3, p.13-24, July 1986

Patrick W. Gaffney: colleagues