1. A monotone predictor-corrector scheme for advection
   Trebinski, R.
   Computer Assisted Mechanics and Engineering Sciences, 2002, vol. 9, no. 2, pp. 271-290, Ingenta.  
2. Improvement of the Stability of the Estuarine Coastal Ocean Model by A Predictor -Corrector Scheme
   Zhu, J.-R.; Yang, L.-H.; Zhu, S.-X.
   Oceanologia et Limnologia Sinica, 2002, vol. 33, no. 1, pp. 15-22, Ingenta.  
3. A first-order sequential predictor-corrector regularization method for ill-posed Volterra equations.    
   Ring, Wolfgang    
   SIAM J. Numer. Anal. 38 (2001), no. 6, 2079--2102 (electronic), MathSciNet.   
4. Some predictor-corrector algorithms for multivalued variational inequalities.    
   Noor, M. A.    
   J. Optim. Theory Appl. 108 (2001), no. 3, 659--669, MathSciNet.   
5. A predictor-corrector method for structural nonlinear analysis
   Kim, J. H.; Kim, Y. H.
   Computer Methods in Applied Mechanics and Engineering, 2001, vol. 191, no. ER8-10, pp. 959-974, Ingenta.  
6. Some new predictor-corrector methods for variational inequalities
   Noor, M. A.
   Soochow Journal of Mathematics, 2001, vol. 27, no. 1, pp. 73-82, Ingenta.  
7. A Fixed Grid Finite Control Volume Model for the Phase Change Heat Conduction Problems with a Single-Point Predictor-Corrector Algorithm
   Kim, S.; Kim, M. C.; Chun, W.-G.
   Korean Journal of Chemical Engineering, 2001, vol. 18, no. 1, pp. 40-45, Ingenta.  
8. Sequential predictor-corrector regularization methods and their limitations.    
   Ring, Wolfgang; Prix, Johannes   
   Inverse Problems 16 (2000), no. 3, 619--633, MathSciNet.   
9. Best predictor-corrector methods for first order VIDEs with solutions damped at infinity.   
   Garey, L. E.; Gladwin, C. J.   
   Appl. Math. Comput. 113 (2000), no. 1, 81--95, MathSciNet.   
10. Adaptive use of iterative methods in predictor-corrector interior point methods for linear programming. Mathematical journey through analysis, matrix theory and scientific computation (Kent, OH, 1999).   
    Wang, Weichung; O'Leary, Dianne P.      
    Numer. Algorithms 25 (2000), no. 1-4, 387--406.
11. A class of parallel predictor-corrector methods for nonlinear delay systems. (Chinese)   
    Zhang, Cheng Jian; Yu, Hong Bing   
    J. Huazhong Univ. Sci. Tech. 28 (2000), no. 11, 104--106, MathSciNet.   
12. Parallel block PC methods with RKN-type correctors and Adams-type predictors.    
    Cong, Nguyen Huu; Minh, Nguyen Thi Hong    
    Int. J. Comput. Math. 74 (2000), no. 4, 509--527.
13. Accuracy of multivalue methods during change of time-step size: Adams-Moulton.    
    Gray, William G.; Muccino, Julia C.    
    Numer. Methods Partial Differential Equations 16 (2000), no. 3, 312--326, MathSciNet.  
14. Modified Adams-Moulton predictor-corrector method in solving multibody dynamical systems.   
    Wu, S. D.; Chiou, J. C.; Lin, Y. C.
    Mech. Structures Mach. 28 (2000), no. 2-3, 201--218, MathSciNet.   
15. Alternative stepsize strategies for Adams predictor-corrector codes.   
    Usman, Anila; Hall, George   
    J. Comput. Appl. Math. 116 (2000), no. 1, 105--120, MathSciNet.   
16. An explicit predictor-corrector solver with application to seismic wave modelling.
    Phadke, Suhas; Bhardwaj, Dheeraj; Dey, S.K.
    Computers & geosciences, 2000, vol. 26, no. 9/10, pp. 1053, Ingenta.  
17. A linearly implicit predictor-corrector method for reaction-diffusion equations.   
    Voss, D. A.; Khaliq, A. Q. M.   
    Comput. Math. Appl. 38 (1999), no. 11-12, 207--216, MathSciNet.   
18. A predictor-corrector finite difference-streamline diffusion method for nonlinear convection-diffusion equations. (Chinese)    
    Zhang, Qiang; Sun, Che    
    Math. Numer. Sin. 21 (1999), no. 3, 363--374; translation in Chinese J. Numer. Math. Appl. 21 (1999), no. 4, 79--92
19. On the generation of higher order numerical integration methods using lower order Adams-Bashforth and Adams-Moulton methods.    
    Chiou, J. C.; Wu, S. D.    
    J. Comput. Appl. Math. 108 (1999), no. 1-2, 19--29, MathSciNet.  
20. Spurious fixed points of a variable step size, variable order, predictor corrector algorithm.   
    Wain, Richard J.   
    Appl. Numer. Math. 27 (1998), no. 2, 155--169, MathSciNet.   
21. Local convergence of predictor-corrector infeasible-interior-point algorithms for SDPs and SDLCPs.   
    Kojima, Masakazu; Shida, Masayuki; Shindoh, Susumu   
    Math. Programming 80 (1998), no. 2, Ser. A, 129--160, MathSciNet.   
22. Finding periodic solutions to the spatially homogeneous Nagumo equation by the Adams-Bashforth difference scheme. (Chinese)    
    Huang, Jian Hua; Ye, Hong Xin; Lu, Gang    
    J. Central China Normal Univ. Natur. Sci. 32 (1998), no. 4, 394--399, MathSciNet.  
23. A Predictor-Corrector Scheme for Open Boundary Problems.
    Aiello, G.; Alfonzetti, S.; Salerno, N.
    IEEE transactions on magnetics, 1998, vol. 34, no. 5p1, pp. 2573, Ingenta.  
24. Remarks on extended Milne's device for the Adams PC methods.    
    Fujii, Masatomo; Hayashi, Yuichi    
    Bull. Fukuoka Univ. Ed. III 46 (1997), 23--30.
25. On the Speedup of Power System Detailed Dynamic Analysis by Parallel Predictor-Corrector Methods.
    Liu, Cheng-Tsung; Yeh, Tzeng-Shong
    Proceedings of the National Science Council, Republic of China. Part A, Physical science and engineering, 1997, vol. 21, no. 2, pp. 134, Ingenta.  
26. Asymptotic convergence in a generalized predictor-corrector method.   
    Mehrotra, Sanjay   
    Math. Programming 74 (1996), no. 1, Ser. A, 11--28, MathSciNet.   
27. Unconditionally stable predictor-corrector methods for second order ordinary differential equations.   
    Garey, L. E.; Gladwin, C. J.   
    J. Differ. Equations Appl. 2 (1996), no. 4, 343--351, MathSciNet.   
28. Approximation of Ill-Posed Volterra Problems via Predictor-Corrector Regularization Methods  
    Patricia K. Lamm
    SIAM Journal on Applied Mathematics, Vol. 56, No. 2. (Apr., 1996), pp. 524-541, Jstor.  
29. A family of Numerov-type exponentially fitted predictor-corrector methods for the numerical integration of the radial Schrödinger equation.   
    Thomas, R. M.; Simos, T. E.; Mitsou, G. V.   
    J. Comput. Appl. Math. 67 (1996), no. 2, 255--270, MathSciNet.   
30. Parallel predictor-corrector methods.   
    van der Houwen, P. J.; Sommeijer, B. P.; de Swart, J. J. B.   
    Proceedings of the Sixth International Congress on Computational and Applied Mathematics (Leuven, 1994). J. Comput. Appl. Math. 66 (1996), no. 1-2, 53--71, MathSciNet.
31. Analysis of Milne's device for the finite correction mode of the Adams PC methods. II.      
    Fujii, Masatomo   
    Theory and applications of numerical calculation in science and technology (Japanese) (Kyoto, 1995). Surikaisekikenkyusho Kokyuroku No. 944 (1996), 21--29.
32. Efficient parallel predictor-corrector methods. Seventh Conference on the Numerical Treatment of Differential Equations (Halle, 1994).   
    de Swart, J. J. B.   
    Appl. Numer. Math. 18 (1995), no. 1-3, 387--396, MathSciNet.   
33. An explicit high order predictor-corrector method for periodic initial value problems.   
    Simos, T. E.   
    Math. Models Methods Appl. Sci. 5 (1995), no. 2, 159--166, MathSciNet.   
34. Analysis of the Milne device for the finite correction mode of the Adams PC methods. I.    
    Fujii, Masatomo    
    Numerical analysis of ordinary differential equations and its applications (Kyoto, 1994), 75--89, World Sci. Publishing, River Edge, NJ, 1995.
35. A class of parallel multistep Runge-Kutta predictor-corrector algorithms. (Chinese)   
    Li, Shou Fo; Gan, Si Qing   
    J. Numer. Methods Comput. Appl. 16 (1995), no. 1,7--14 translation in Chinese J. Numer. Math. Appl. 17 (1995), no. 3, 1--11, MathSciNet.   
36. A family of four-step exponentially fitted predictor-corrector methods for the mumerical integration of the schrodinger equation.
    Simos, T.E.
    Journal of computational and applied mathematics, 1995, vol. 58, no. 3, pp. 337, Ingenta.  
37. On weak implicit and predictor-corrector methods.
    Platen, E.
    Mathematics and computers in simulation, 1995, vol. 38, no. 1/3, pp. 69, Ingenta.  
38. Symplectic reversible integrators: Predictor-corrector methods.
    Martyna, Glenn J.; Tuckerman, Mark E.
    The journal of chemical physics, 1995, vol. 102, no. 20, pp. 8071, Ingenta.  
39. Predictor-Corrector Phase-Fitted Methods for Y" = F(X,Y) and an Application to the Schrodinger Equation.
    Simos, T.E.
    International journal of quantum chemistry. Qua, 1995, vol. 53, no. 5, pp. 473, Ingenta.  
40. Hermite predictor-corrector scheme for regular Volterra integral equations and for some integro-differential equations of turbulent diffusion.   
    Khanh, Bui Doan   
    J. Comput. Appl. Math. 51 (1994), no. 3, 305--316, MathSciNet.   
41. On marginal instability of predictor-corrector methods for first order ordinary differential equations.   
    Garey, L. E.; Gladwin, C. J.   
    Utilitas Math. 46 (1994), 143--153, MathSciNet.   
42. Predictor-Corrector Methods for a Class of Linear Complementarity Problems.
    Mehrotra, Sanjay; Stubbs, Robert A.
    SIAM journal on optimization, 1994, vol. 4, no. 2, pp. 441, Ingenta.  
43. A Self-Checking Predictor-Corrector Algorithm for Efficient Evaluation of Reflector Antenna Radiation Integrals.
    Moreira, F.J.S.; Prata, A.
    IEEE transactions on antennas and propagation, 1994, vol. 42, no. 2, pp. 246, Ingenta.  
44. Efficient block predictor-corrector methods with a small number of corrections.    
    Burrage, Kevin    
    J. Comput. Appl. Math. 45 (1993), no. 1-2, 139--150, MathSciNet.   
45. The search for the Holy Grail, or: Predictor-corrector methods for solving ODEIVPs. Parallel methods for ordinary differential equations (Grado, 1991).   
    Burrage, Kevin  
    Appl. Numer. Math. 11 (1993), no. 1-3, 125--141, MathSciNet.   
46. A predictor-corrector phase fitted method for y"=f(x,y).
    Simos, T.E.
    Mathematics and computers in simulation, 1993, vol. 35, no. 2, pp. 153, Ingenta.  
47. Parallel block predictor-corrector methods of Runge-Kutta type.
    Van der Houwen, P. J.; Cong, Nguyen huu
    Applied numerical mathematics, 1993, vol. 13, no. 13, pp. 109, Ingenta.  
48. Predictor-Corrector Guidance Algorithm for Use in High-Energy Aerobraking System Studies.
    Braun, R.D.; Powell, R.W.
    Journal of guidance, control, and dynamics, 1992, vol. 15, no. 3, pp. 672, Ingenta.  
49. An extension of Milne's device for the Adams predictor-corrector methods.   
    Fujii, Masatomo   
    Japan J. Indust. Appl. Math. 8 (1991), no. 1, 1--18, MathSciNet.   
50. The numerical solution of neutral functional-differential equations by Adams predictor-corrector methods.   
    Jackiewicz, Z.; Lo, E.   
    Appl. Numer. Math. 8 (1991), no. 6, 477--491, MathSciNet.   
51. Variable order Adams-Bashforth predictors with an error-stepsize control for continuation methods.   
    Lundberg, Bruce N.; Poore, Aubrey B.    
    SIAM J. Sci. Statist. Comput. 12 (1991), no. 3, 695--723, MathSciNet.  
52. The error behavior of a general class predictor-corrector methods.
    Burrage, K.
    Applied numerical mathematics, 1991, vol. 8, no. 3, pp. 201, Ingenta.  
53. An exponentially fitted two-step method with predictor-corrector form for the solution of nonlinear of coupled Schrodinger equations.
    Allison, A.C.; Huang, X.
    Computer physics communications, 1991, vol. 66, no. 2/3, pp. 211, Ingenta.  
54. A new family of real-time predictor-corrector integration algorithms.
    Howe, R.M.
    Simulation, 1991, vol. 57, no. 3, pp. 177, Ingenta.  
55. Predictor-corrector methods for large sparse problems.
    Chien, C.S.
    Bulletin of the Institute of Mathematics, Academia Sinica., 1990, vol. 18, no. 3, pp. 191, Ingenta.  
56. About the Generation of Parallel Block Predictor-Corrector Algorithms for
    ODE's.
    Le Gall, Francoise; Mouney, Gerard
    International journal of computer mathematics, 1990, vol. 36, no. 3/4, pp. 209, Ingenta.  
57. Improving the Stability of Predictor-corrector Methods by Residue Smoothing.
    Van Der Houwen, P.J.; Sommeijer, B.P.
    IMA journal of numerical analysis, 1990, vol. 10, no. 3, pp. 361, Ingenta.  
58. New Predictor Corrector Trapezoidal Formulae for Solving Initial Value Problems.
    Sanugi, B.B.; Evans, D.J.
    International journal of computer mathematics, 1990, vol. 33, no. 1/2, pp. 77, Ingenta.  
59. A sixth order predictor-corrector method for periodic IVPs.   
    Voss, D. A.; Khaliq, A. Q. M.   
    Appl. Math. Lett. 2 (1989), no. 1, 65--68, MathSciNet.   
60. A predictor-corrector scheme for fourth order parabolic partial differential equations.
    Khaliq, A. Q. M.
    Computers & mathematics with applications, 1989, vol. 17, no. 12, pp. 1563, Ingenta.  
61. New Predictor Corrector Formulas for Initial Value Problems in ordinary Differential Equations.
    Fatunla, Simeon Ola
    International journal of computer mathematics, 1989, vol. 26, no. 3/4, pp. 247, Ingenta.  
62. Extended Adams-Moulton methods.    
    Xu, Xu Hai    
    J. Math. (Wuhan) 8 (1988), no. 4, 339--344, MathSciNet.  
63. Using a Predictor-Corrector Scheme to Compute Navier-Stokes Equations in Three-Dimensional Spherical Coordinates
    Qian-shun, Chang
    Journal of computational mathematics, 1988, vol. 6, no. 4, pp. 307, Ingenta.  
64. Quasilinear Multistep Methods and Variable Step Predictor-Corrector Methods for Neutral Functional Differential Equations  
    Zdzislaw Jackiewicz  
    SIAM Journal on Numerical Analysis, Vol. 23, No. 2. (Apr., 1986), pp. 423-452, Jstor.   
65. Variable Step Size Predictor-Corrector Schemes for Second Kind Volterra Integral Equations  
    H. M. Jones, S. McKee  
    Mathematics of Computation, Vol. 44, No. 170. (Apr., 1985), pp. 391-404, Jstor.   
66. Turbulence in Multistep Methods for Initial Value Problems  
    Michael Prufer  
    SIAM Journal on Applied Mathematics, Vol. 45, No. 1. (Feb., 1985), pp. 32-69, Jstor.  
67. One-Step Collocation: Uniform Superconvergence, Predictor-Corrector Method, Local Error Estimate  
    Marino Zennaro  
    SIAM Journal on Numerical Analysis, Vol. 22, No. 6. (Dec., 1985), pp. 1135-1152, Jstor.   
68. The Convergence of Variable-Stepsize, Variable-Formula, Multistep Methods  
    M. Crouzeix, F. J. Lisbona  
    SIAM Journal on Numerical Analysis, Vol. 21, No. 3. (Jun., 1984), pp. 512-534, Jstor.   
69. Adams-Barthforth [Bashforth] formula.    
    Bhaskara Murthy, V. S.    
    Math. Ed. (Siwan) 18 (1984), no. 2, 77--80, MathSciNet.  
70. A class of modified Adams-Moulton methods. (Chinese)    
    Sun, Geng; Mao, Zu Fan    
    Math. Numer. Sinica 5 (1983), no. 2, 113--118, MathSciNet.  
71. Interpolation and error estimation in Adams PC-codes.    
    Stetter, Hans J.    
    SIAM J. Numer. Anal. 16 (1979), no. 2, 311--323.
72. The Application of Linear Multistep Methods to Singular Initial Value Problems  
    Frank R. de Hoog, Richard Weiss  
    Mathematics of Computation, Vol. 31, No. 139. (Jul., 1977), pp. 676-690, Jstor.  
73. Optimally stable parallel predictors for Adams-Moulton correctors.    
    Katz, I. Norman; Franklin, Mark A.; Sen, A.    
    Comput. Math. Appl. 3 (1977), no. 3, 217--233, MathSciNet.  
74. On Comparing Adams and Natural Spline Multistep Formulas  
    David R. Hill  
    Mathematics of Computation, Vol. 29, No. 131. (Jul., 1975), pp. 741-745, Jstor.  
75. Some New Multistep Methods for Solving Ordinary Differential Equations  
    G. K. Gupta, C. S. Wallace  
    Mathematics of Computation, Vol. 29, No. 130. (Apr., 1975), pp. 489-500, Jstor.  
76. Stability Analysis of Predictor-Corrector Algorithms of Adams Type  
    George Hall  
    SIAM Journal on Numerical Analysis, Vol. 11, No. 3. (Jun., 1974), pp. 494-505, Jstor.   
77. Exponential Fitting of Matricial Multistep Methods for Ordinary Differential Equations  
    E. F. Sarkany, W. Liniger  
    Mathematics of Computation, Vol. 28, No. 128. (Oct., 1974), pp. 1035-1052, Jstor.  
78. Stability and Convergence of Variable Order Multistep Methods  
    C. W. Gear, D. S. Watanabe  
    SIAM Journal on Numerical Analysis, Vol. 11, No. 5. (Oct., 1974), pp. 1044-1058, Jstor.  
79. The Effect of Variable Mesh Size on the Stability of Multistep Methods  
    C. W. Gear, K. W. Tu  
    SIAM Journal on Numerical Analysis, Vol. 11, No. 5. (Oct., 1974), pp. 1025-1043, Jstor.  
80. A Predictor-Corrector Method for a Certain Class of Stiff Differential Equations  
    Karl G. Guderley, Chen-Chi Hsu  
    Mathematics of Computation, Vol. 26, No. 117. (Jan., 1972), pp. 51-69, Jstor.   
81. Predictor-Corrector Algorithms with Identical Regions of Stability  
    J. D. Lambert  
    SIAM Journal on Numerical Analysis, Vol. 8, No. 2. (Jun., 1971), pp. 337-344, Jstor.   
82. Cyclic Composite Multistep Predictor-Corrector Methods  
    John Donelson III, Eldon Hansen  
    SIAM Journal on Numerical Analysis, Vol. 8, No. 1. (Mar., 1971), pp. 137-157, Jstor.   
83. A Note on the Stability of Predictor-Corrector Techniques  
    James Case  
    Mathematics of Computation, Vol. 23, No. 108. (Oct., 1969), pp. 741-749, Jstor.   
84. An A-stable modification of the Adams-Bashforth methods.    
    Nørsett, Syvert P.    
    1969 Conf. on Numerical Solution of Differential Equations (Dundee, 1969) pp. 214--219 Springer, Berlin, MathSciNet.  
85. Numerical Stability of a One-Evaluation Predictor-Corrector Algorithm for Numerical Solution of Ordinary Differential Equations  
    R. W. Klopfenstein, R. S. Millman  
    Mathematics of Computation, Vol. 22, No. 103. (Jul., 1968), pp. 557-564, Jstor.   
86. An Analysis of the Numerical Stability of Predictor-Corrector Solutions of Nonlinear Ordinary Differential Equations  
    Robert J. Lambert  
    SIAM Journal on Numerical Analysis, Vol. 4, No. 4. (Dec., 1967), pp. 597-606, Jstor.   
87. Stability properties of Adams-Moulton type methods.    
    Brown, Robert R.; Riley, James D.; Bennett, Morris M.    
    Math. Comp. 19 1965 90--96, MathSciNet.  
88. A Predictor-Corrector Type Scheme for the Mixed Boundary Problem for a Hyperbolic First-Order System in Two Dimensions  
    Vidar Thomee  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 11, No. 4. (Dec., 1963), pp. 964-975, Jstor.   
89. On Predictor-Corrector Methods for Nonlinear Parabolic Differential Equations  
    Jim Douglas, Jr., B. F. Jones, Jr.  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 11, No. 1. (Mar., 1963), pp. 195-204, Jstor.   
90. Corrector Formulas for Multi-Step Integration Methods  
    T. E. Hull, A. C. R. Newbery  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 10, No. 2. (Jun., 1962), pp. 351-369, Jstor.  
91. An extension of Milne's three-point method.   
    Keitel, Glenn H.   
    J. Assoc. Comput. Mach. 3 (1956), 212--222.

(c) John H. Mathews 2003