1

ABBOTT, J. P. An efficient algorithm for the determination of certain bifureation points. J. Comput. Appl. Math. 4 (1978), 19-27.

2

ALLGOSER, E. AND GEORG, K. Simplicial and continuation methods for approximating fixed points and solutions to systems of equations. SIAM Rev. 22 (1980), 28-85.

3

BABUSKA, I., AND RHEINBOLDT, W.C. Computational error estimates and adaptive processes for some nonlinear structural problems. J. Comput. Math. Appl. Mech. Eng. 34 (1982, 895-937.

4

BOGGS, P.T. The solution of nonlinear systems of equations by A-stable integration techniques. SIAM J. Numer. Anal. 8 (1971), 767-785.

5

BRENT, R.P. Algorithms for Minimization Without Derivatives. Prentice-Hall, Englewood Cliffs, N.J., 1973

6

CRISFIELV, M.A. A fast mcremental/iterative solution procedure that handles snap-through Comput Struct. 13 (1981), 55-62.

7

DAVIDENKO, D F. On a new method of numerical solution of systems of nonlinear equations. Dokl. Akad. Nauk SSSR 88 (1953), 601-602.

8

DEN HEIJER, C., AND RHEINBOLDT, W.C. On steplength algorithms for a class of continuation methods. SIAM J Numer. Anal 18 (1981), 925-947.

9

FICKEN, F. The continuation method for functional equations. Commun Pure Appl. Math. 4 (1951), 435-456.

10

Ferdinand Freudenstein , Bernhard Roth, Numerical Solution of Systems of Nonlinear Equations, Journal of the ACM (JACM), v.10 n.4, p.550-556, Oct. 1963  [doi>10.1145/321186.321200]

11

KELLER, H.B Numerical solution of bifurcation and nonlinear eigenvalue problems. In Applcatmns of B~furcation Theory, P. Rabinowitz (Ed.), Academm Press, New York, 1977, pp. 359-

12

KELLER, H B Global homotopies and Newton methods. In Recent Advances in Numerical Analys~s, C. deBoor and G. H. Golub (Ed.), Academic Press, New York, 1978, pp. 73-94.

13

KERR, A D., AND SOIFER, M T The linearization of the prebuckling state and its effect on the determined instablhty load. Trans ASME, J. Appl. Mech. 36 (1969), 775-783.

14

KIZNER, W. A numerical method for finding solutions of nonlinear equations. SIAM J. AppL Math 12 (1964), 424-428.

15

Milan Kubíček, Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5], ACM Transactions on Mathematical Software (TOMS), v.2 n.1, p.98-107, March 1976  [doi>10.1145/355666.355675]

16

KUBICEK, M, HOLODNIOK, M., AND MAREK, I. Numerical solution of nonlinear equations by one-parameter imbedding methods. Numer. Funct. Anal. Opt~m. 3 (1981), 223-264.

17

MAU, S.T., AND GALLAGHER, R.H. A finite element procedure for nonlinear prebuckling and initial postbuckling analysis. NASA Contractor Rep., NASA-CR 1936, January 1972.

18

MILNOR, J W. Topology from the Differential Viewpoint. University of Virginia Press, Charlottesville, 1965

19

MEHRA, R K., KESSEL, W.C, AND CARROLL, J.V. Global stability and control analysis of aircraft high angles of attack. ONR Report-CR-215-248 1, 2, 3, June 1977-1979.

20

MELHEM, R., AND RHEINBOLDT, W C A comparison of methods for determining turning points nonlinear equations. Computing 29 (1982), 201-226.

21

MENZEL, R., AND SCHWETLICK, H. Zttr Losung parameter-abhangiger nichtlinearer Gleichungen singularen Jacobl-Matrlzen. Numer. Math. 30 (1978), 65-79.

22

MOORE, G., AND SPENCE, A. The calculation of turning points of nonlinear equations. SIAM J. Numer Anal 17 (1980), 567-576.

23

OVEN, J.T. Finite Elements of Nonhnear Continua. McGraw-Hill, New York, 1972.

24

PONISCH, G., AND SCHWETLICK, H. Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter. Computing 26 (1981), 107-121.

25

POSTON, T., AND STEWART, I Catastrophe Theory and Its Applications. Pitman, London, 1978.

26

RHEINBOLDT, W.C. An adaptive continuation process for solving systems of nonlinear equations. Banach Ctr. Publ., Vol. 3, Pohsh Academy of Science, Warsaw, 1977, 129-142.

27

RHEINBOLDT, W.C. Numerical methods for a class of finite dimensional bifurcation problems. SIAM J. Numer Anal 15 (1978), 1-11

28

RHEINBOLDT, W C Solution fields of nonlinear equations and continuation methods. SIAM J. Numer Anal. 17 (1980) 221-237.

29

RHEINBOLDT, W.C. Numerical analysis of continuation methods for nonlinear structural problems. Comput. Struct. 13 (1981), 103-114

30

RHEINBOLDT, W.C Computation of cntmal boundaries on equilibrium manifolds. SIAM J. Numer. Anal 19 (1982), 653-669

31

RIKS, E An incremental approach to the solution of snapping and buckling problems. Int. J. Solids Struet. 15 (1979), 524-551.

32

SCHY, A A, AND HANNAH, M.E. Predmtmn of jump phenomena in roll-coupled maneuvers of

33

SEWELL, M J. On the connection between stability and the shape of the equilibrium surface. J. Mech. Phys Solids 14 (1966), 203-230

34

SEWELL, M.J. Some global eqmhbnum surfaces. Int. J. Mech Eng Educ. 6 (1978), 163-174

35

SEYDEL, R. Numemcal computation of branch points in nonlinear equations. Nurner. Math. 33 (1979), 339-352.

36

SIMPSON, R.B A method for the numerical determination of bifurcation states of nonlinear systems of equations. SIAM J Numer Anal. 12 (1975), 439-451.

37

WACKER, H.J. (Ed.) Contmuatmn Methods. Academic Press, New York, 1978.

38

WALKER, A.C A non-hnear finite element analysis of shallow circular arches. Int. J. Sohds Struct 5 (1969), 97-107.

39

WATSON, L.T. A globally convergent algorithm for computing fixed points of C'~-maps. Appl Math. Comput. 5 (1979), 297-311

40

Layne T. Watson , Dan Fenner, Algorithm 555: Chow-Yorke Algorithm for Fixed Points or Zeros of C2 Maps [C5], ACM Transactions on Mathematical Software (TOMS), v.6 n.2, p.252-259, June 1980  [doi>10.1145/355887.355899]

41

YOUNG, J W., SCHY, A.A., AND JOHNSON, K.G. Prediction of jump phenomena in aircraft maneuvers, including nonlinear aerodynamm effects J Guidance Contr. 1 (1978), 26-31.

Werner C. Rheinboldt , John V. Burkardt, Algorithm 596: a program for a locally parameterized, ACM Transactions on Mathematical Software (TOMS), v.9 n.2, p.236-241, June 1983

Peter Feldmann , Robert Melville , Shahriar Moinian, Automatic differentiation in circuit simulation and device modeling, Proceedings of the 1992 IEEE/ACM international conference on Computer-aided design, p.248-253, November 1992, Santa Clara, California, United States

A. Yeckel , L. E. Scriven, Multiparameter continuation methods for tracking desired flow states, Proceedings of the 1992 ACM/IEEE conference on Supercomputing, p.142-151, November 16-20, 1992, Minneapolis, Minnesota, United States

Adriano N. Raposo , Abel J. P. Gomes, Polygonization of multi-component non-manifold implicit surfaces through a symbolic-numerical continuation algorithm, Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia, November 29-December 02, 2006, Kuala Lumpur, Malaysia

Z. Jackiewicz, Construction and Implementation of General Linear Methods for Ordinary Differential Equations: A Review, Journal of Scientific Computing, v.25 n.1, p.29-49, October 2005

Jason S. Howell, Computation of viscoelastic fluid flows using continuation methods, Journal of Computational and Applied Mathematics, v.225 n.1, p.187-201, March, 2009

Werner C. Rheinboldt: colleagues

John V. Burkardt: colleagues