1. Implicit Taylor methods for stiff stochastic differential equations.
   Tian, Tianhai; Burrage, Kevin Implicit
   Appl. Numer. Math. 38 (2001), no. 1-2, 167--185, MathSciNet.   
2. Stochastic seepage analysis of jointed rock masses by usage of Taylor series stochastic finite element method
   Sheng, J.-c.; Su, B.-y.; Zhan, M.-l.; Wei, B.-y.
   Chinese Journal of Geotechnical Engineering, 2001, vol. 23, no. 4, pp. 485-488, Ingenta.  
3. An O(N) Taylor series multipole boundary element method for three-dimensional elasticity problems
   Popov, V.; Power, H.
   Engineering Analysis With Boundary Elements, 2001, vol. 25, no. ER1, pp. 7-18, Ingenta.  
4. A discrete Taylor series method for the solution of two-point boundary-value problems
   Jacobsohn, G.
   Journal- Franklin Institute, 2001, vol. 338, no. ER1, pp. 61-68, Ingenta.  
5. The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials.
   Yalçnbas, Salih; Sezer, Mehmet
   Appl. Math. Comput. 112 (2000), no. 2-3, 291--308, MathSciNet.   
6. An automatic symbolic-numeric Taylor series ODE solver.
   Dupée, Brian J.; Davenport, James H.
   Computer algebra in scientific computing---CASC'99 (Munich), 37--50, Springer, Berlin, 1999, MathSciNet.   
7. Geometric series bounds for the local errors of Taylor methods for linear n-th order ODEs.
   Neher, Markus
   Symbolic algebraic methods and verification methods (Dagstuhl, 1999), 183--193, Springer, Vienna, 2001, MathSciNet.   
8. A simple Taylor-series expansion method for a class of second kind integral equations.
   Ren, Y.; Zhang, B.; Qiao, H.
   Journal of Computational and Applied Mathematics, 1999, vol. 110, no. 1, pp. 15, Ingenta.  
9. Modelling of distributed parameter nonlinear systems by differential Taylor method.
   Abbasov, T.; Herdem, S.; Köksal, M.
   Algorithms for modelling and control (Zakopane, 1998). Control Cybernet. 28 (1999), no. 2, 259--267, MathSciNet.   
10. New Taylor-expansion method for solving a general class of wave equations.
    Fleck Jr., Joseph A.
    Journal of the Optical Society of America. A, Optics, image science, and vision., 1998, vol. 15, no. 8, pp. 2182, Ingenta.  
11. The examination of nonlinear stability and solvability of the algebraic equations for the implicit Taylor series method  
    Scholz, Hans-Eberhard
    Eighth Conference on the Numerical Treatment of Differential Equations (Alexisbad, 1997). Appl. Numer. Math. 28 (1998), no. 2-4, 439--458, MathSciNet.   
12. Verified integration of ODEs and flows using differential algebraic methods on high-order Taylor models.
    Berz, Martin; Makino, Kyoko
    Reliab. Comput. 4 (1998), no. 4, 361--369, MathSciNet.   
13. A modified Taylor series method for solving initial-value problems in ordinary differential equations  
    Reverter, F.; Oller, J. M.
    Int. J. Comput. Math. 65 (1997), no. 3-4, 231--246, MathSciNet.   
14. High-order Taylor-Galerkin methods for linear hyperbolic systems.
    Safjan, A.; Oden, J. T.
    J. Comput. Phys. 120 (1995), no. 2, 206--230, MathSciNet.   
15. Numerical Solution of Two-Point Boundary Value Problem by Combined Taylor Series Method with A Technique for Rapidly Selecting Suitable Step Sizes.
    Shiraishi, Fumihide; Hasegawa, Takahiro; Nagasue, Hiroyuki
    Journal of chemical engineering of japan, 1995, vol. 28, no. 3, pp. 305, Ingenta.   
16. ATOMFT: solving ODEs and DAEs using Taylor series. Recent trends and applications in the numerical solution of ordinary differential equations.  
    Chang, Y. F.; Corliss, G.  
    Comput. Math. Appl. 28 (1994), no. 10-12, 209--233, MathSciNet.   
17. Taylor polynomials of implicit functions, of inverse functions, and of solutions of ordinary differential equations.
    Koepf, Wolfram
    Complex Variables Theory Appl. 25 (1994), no. 1, 23--33, MathSciNet.   
18. Taylor series method for ODE using "multi-based number system".
    Obayashi, Noboru
    Bull. College Liberal Arts Kyushu Sangyo Univ. 30 (1994), no. 3, 117--145, MathSciNet.   
19. Coefficients of the Taylor expansion for the solution of differential-algebraic systems.
    Higueras, Immaculada
    Appl. Numer. Math. 12 (1993), no. 6, 497--501, MathSciNet.   
20. Stratonovich-Taylor expansion and numerical methods.
    Pettersson, Roger
    Stochastic Anal. Appl. 10 (1992), no. 5, 603--612, MathSciNet.   
21. Taylor Method of Integrating Ordinary Differential Equations: The Problem of Steps and Singularities.
    Gofen, A.M.
    Cosmic research, 1992, vol. 30, no. 6, pp. 518, Ingenta.   
22. Stiffness-Adaptive Taylor Method for the Integration of Non-Stiff and Stiff Kinetic Models.
    Baeza Baeza, J.J.; Pla, F. Pererz; Ramos, G. Ramis
    Journal of computational chemistry, 1992, vol. 13, no. 7, pp. 810, Ingenta.   
23. On implicit Taylor series methods for stiff ODEs.
    Kirlinger, G.; Corliss, G. F.
    Computer arithmetic and enclosure methods (Oldenburg, 1991), 371--379, North-Holland, Amsterdam, 1992, MathSciNet.   
24. Optimal Use of a Numerical Method for Solving Differential Equations Based on Taylor Series Expansions.
    Sonnemans, P.J.M.; De Goey, L.P.H.; Nieuwenhuizen, J.K.
    International journal for numerical methods in e, 1991, vol. 32, no. 3, pp. 471, Ingenta.   
25. Taylor series expansion method for solving multidimensional integral equations  
    Liu, K. C.
    International journal of mathematical education in science and technology, 1991, vol. 22, no. 2, pp. 273, Ingenta.   
26. Taylor series coefficients for the solution of differential-algebraic equations of index 1. (Spanish)
    Higueras Sanz, I.
    Proceedings of the XVth Portuguese-Spanish Conference on Mathematics, Vol. V (Portuguese) (Évora, 1990), 179--184, Univ. Évora, Évora, 1991, MathSciNet.   
27. Stability of Higher-Order Hood-Taylor Methods  
    Franco Brezzi, Richard S. Falk  
    SIAM Journal on Numerical Analysis, Vol. 28, No. 3. (Jun., 1991), pp. 581-590, Jstor.  
28. Optimal use of a numerical method for solving differential equations based on Taylor series expansions  
    Sonnemans, P. J. M.; De Goey, L. P. H.; Nieuwenhuizen, J. K.
    Internat. J. Numer. Methods Engrg. 32 (1991), no. 3, 471--499, MathSciNet.   
29. A Taylor-series approach to numerical accuracy and a third-order scheme for strong convective flows  
    Bradley, D.; Missaghi, M.; Chin, S. B.
    Comput. Methods Appl. Mech. Engrg. 69 (1988), no. 2, 133--151, MathSciNet.   
30. A Taylor series expansion technique for initial value nonlinear ordinary differential problems.
    Reali, M.; Dassie, G.
    Proceedings of the Eleventh International Conference on Nonlinear Oscillations (Budapest, 1987), 567--570, János Bolyai Math. Soc., Budapest, 1987, MathSciNet.   
31. Solving stiff systems by Taylor series  
    Chang, Y. F.
    Numerical ordinary differential equations (Albuquerque, NM, 1986). Appl. Math. Comput. 31 (1989), 251--269, MathSciNet.   
32. A highly precise Taylor series method for stiff ODEs.
    Jalbert, F.; Zahar, R. V. M.
    Proceedings of the fourteenth Manitoba conference on numerical mathematics and computing (Winnipeg, Man., 1984). Congr. Numer. 46 (1985), 347--358, MathSciNet.   
33. Application of generalized Taylor series in the theory of differential equations with deviating argument. (Russian)
    Malitskii, I. I.
    Dokl. Akad. Nauk Ukrain. SSR Ser. A 1985, no. 10, 17--18, 85, MathSciNet.   
34. Automatic generation of Taylor series in Pascal-SC: basic applications to ordinary differential equations.
    Corliss, George; Rall, L. B.
    Transactions of the first army conference on applied mathematics and computing (Washington, D.C., 1983), 177--209, ARO Rep., 84-1, U.S. Army Res. Office, Research Triangle Park, NC, 1984, MathSciNet.   
35. Expansions of Taylor series type for linear differential operators.
    Okikiolu, G. O.
    Bull. Math. No. 9 (1983), 1--27, MathSciNet.   
36. Solving ordinary differential equations using Taylor series  
    Corliss, George; Chang, Y. F.
    ACM Trans. Math. Software 8 (1982), no. 2, 114--144, MathSciNet.   
37. A generalized Taylor formula and its application to the solutions of differential equations. (Russian)
    Filer, Z. E.
    Ukrain. Mat. Zh. 33 (1981), no. 1, 123--128, MathSciNet.   
38. Computer symbolic solution of nonlinear ordinary differential equations with arbitrary boundary conditions by the Taylor series.
    Hanson, James N.
    Differential equations (Proc. Eighth Fall Conf., Oklahoma State Univ., Stillwater, Okla., 1979), pp. 171--185, Academic Press, New York-London-Toronto, Ont., 1980, MathSciNet.   
39. Taylor-Dirichlet series and algebraic differential-difference equations.
    Wadleigh, Frank
    Proc. Amer. Math. Soc. 80 (1980), no. 1, 83--89, MathSciNet.   
40. Choosing a stepsize for Taylor series methods for solving ODE's  
    Corliss, George; Lowery, David  
    J. Comput. Appl. Math. 3 (1977), no. 4, 251--256, MathSciNet.   
41. Taylor Series Methods for the Solution of Volterra Integral and Integro-Differential Equations  
    Alan Goldfine  
    Mathematics of Computation, Vol. 31, No. 139. (Jul., 1977), pp. 691-707, Jstor.   
42. A note on the solution of differential equations by means of Taylor series (Serbo-Croatian)  
    Savi'c, Branko  
    Mat. Vesnik 1(14)(29) (1977), no. 3, 309--312, MathSciNet.   
43. The syntax directed graph algorithm for the input of equations to the Taylor series system for solving ordinary differential equations
    Willers, I. M.
    Comput. J. 19 (1976), no. 4, 344--347, MathSciNet.   
44. Taylor expansion in the finite element method for a two-point boundary value problem.
    Marks, Tomasz
    Demonstratio Math. 9 (1976), no. 3, 477--486, MathSciNet.   
45. Boundary problems for non-linear differential equation of the second order. Analytical solution in the form of Taylor's series.
    Orlov, K.; Stojanovi'c, M.
    Papers presented at the Fifth Balkan Mathematical Congress (Belgrade, 1974). Math. Balkanica 4 (1974), 477--481, MathSciNet.   
46. The aleph-Taylor series as a solution of a differential equation. (Spanish)
    Rodríguez Cano, José Juan
    Proceedings of the First Conference of Portuguese and Spanish Mathematicians (Lisbon, 1972) (Spanish), pp. 184--185. Inst. "Jorge Juan" Mat., Madrid, 1973, MathSciNet.   
47. Finding of the general integral of differential equations by means of Taylor series and finding of some form of non-Cauchy's particular integrals.
    Orlov, K.
    Mat. Vesnik 9(24) (1972), 273--279, MathSciNet.   
48. Piecewise polynomial Taylor methods for initial value problems.
    Hulme, Bernie L.
    Numer. Math. 17 (1971), 367--381, MathSciNet.   
49. Practical method for solving differential equations and their systems by means of Taylor series.
    Orlov, Konstantin
    Mat. Vesnik 8(23) (1971), 73--81, MathSciNet.   
50. Numerical construction of Taylor series approximations for a set of simultaneous first order differential equations.
    Campbell, Edwin S.; Buehler, R.; Hirschfelder, J. O.; Hughes, D.
    J. Assoc. Comput. Mach. 8 1961 374--383, MathSciNet.   
51. An electrical device for the solution of homogeneous and inhomogeneous ordinary linear differential equations of higher order with constant coefficients, giving the solution in the form of a Taylor series. (Russian)
    Tolstov, Yu. G.
    Bull. Acad. Sci. URSS. Cl. Sci. Tech. [Izvestia Akad. Nauk SSSR] 1947, (1947). 319--322, MathSciNet.   
52. On the representation by integrals of some functions defined by Taylor expansions and its application to the solution of partial differential equations. (Spanish.)
    Laguardia, Rafael; Levi, Beppo
    Publ. Inst. Mat. Univ. Nac. Litoral 4, (1943). 205--232, MathSciNet.   
53. Starting values for Milne-method integration of ordinary differential equations of first order, or of second order when first derivatives are absent.
    Marchant Methods.
    The method of Taylor's series MM-261. year unknown, 4 pp., MathSciNet.   
54. A note on two-point Taylor's series for solving ordinary differential equations.
    Fine, Maurice
    J. Aerospace Sci. 28 (1961) 671--672, MathSciNet.

(c) John H. Mathews 2003