Remark.  A common misspelling is Nicholson.

1. Unconditionally stable Crank-Nicolson scheme for solving two-dimensional Maxwell's equations
   Sun, G.; Trueman, C.W.
   Electronics Letters, v 39, n 7, Apr 3, 2003, p 595-597, Compendex.
2. The alternating segment Crank-Nicolson method for solving convection-diffusion equation with variable coefficient.  
   Wang, Wen Qia
   Appl. Math. Mech. (English Ed.)  24  (2003),  no. 1, 32--42;  translated from  Appl. Math. Mech.  24  (2003),  no. 1, 29--38(Chinese), MathSciNet.  
3. Sharpening the estimate of the stability constant in the maximum-norm of the Crank-Nicolson scheme for the one-dimensional heat equation
   Farago, I.; Palencia, C.
   Applied Numerical Mathematics, v 42, n 1-3, August, 2002, p 133-140, Compendex.
4. Comparison of a wavelet-Galerkin procedure with a Crank-Nicolson-Galerkin procedure for diffusion equation subject to the specification of mass.
   Behiry, S. H.; Hashish, H.
   Int. J. Differ. Equ. Appl. 6 (2002), no. 2, 197--207, MathSciNet.  
5. Crank-Nicolson difference scheme along characteristics for a parabolic-hyperbolic system of equations. (Chinese)
   Lu, Shu Xia
   J. Hebei Univ. Nat. Sci. 22 (2002), no. 3, 225--228, MathSciNet.  
6. Crank-Nicolson finite difference method for two-dimensional diffusion with an integral condition
   Dehghan, M.
   Applied Mathematics and Computation (New York), v 124, n 1, Nov 10, 2001, p 17-27, Compendex.
7. Extrapolated Crank-Nicolson approximation for a linear Stefan problem with a forcing term
   Ahn, M.J.; Lee, H.Y.
   Korean Journal of Computational and Applied Mathematics, v 8, n 3, September, 2001, p 549-569, Compendex.
8. Efficient improvement of Crank-Nicolson scheme
   Zhang, X.-F.; Zhang, H.-W.
   Shuikexue Jinzhan/Advances in Water Science, v 12, n 1, 2001, p 33-38 Language: Chinese, Compendex.
9. Solution of population balance equations with a new combined Lax- Wendroff/Crank-Nicholson method
   Bennett, M.K.; Rohani, S.
   Chemical Engineering Science, v 56, n 23, Nov 30, 2001, p 6623-6633, Compendex.
10. Crank-Nicolson difference scheme along characteristics for a one-dimensional convection-diffusion equation. (Chinese)
    Wang, Tong Ke
    Math. Appl. 14 (2001), no. 4, 55--60, MathSciNet.  
11. Crank-Nicolson finite difference streamline-diffusion method for convection-diffusion problem. (Chinese)
    Zhang, Zheng Ru; Yang, Dan Ping
    Numer. Math. J. Chinese Univ. 23 (2001), no. 4, 293--299, MathSciNet.  
12. Energy error estimates for the projection-difference method with the Crank-Nicolson scheme for parabolic equations. (Russian)
    Smagin, V. V.
    Sibirsk. Mat. Zh. 42 (2001), no. 3, 670--682, iii; translation in Siberian Math. J. 42 (2001), no. 3, 568--578, MathSciNet.  
13. Young Extrapolated Crank-Nicolson approximation for a linear Stefan problem with a forcing term.
    Ahn, Min Jung; Lee, Hyun
    Korean J. Comput. Appl. Math. 8 (2001), no. 3, 549--569, MathSciNet.  
14. Functionally graded material: A parametric study on thermal-stress characteristics using the Crank-Nicolson-Galerkin scheme
    Cho, J.R.; Oden, J. Tinsley
    Computer Methods in Applied Mechanics and Engineering, v 188, n 1, Jul, 2000, p 17-38, Compendex.
15. A Crank-Nicolson orthogonal spline collocation method for vibration problems.
    Li, Bingkun; Fairweather, Graeme; Bialecki, Bernard
    Proceedings of the Fourth International Conference on Spectral and High Order Methods (ICOSAHOM 1998) (Herzliya). Appl. Numer. Math. 33 (2000), no. 1-4, 299--306, MathSciNet.  
16. A Crank-Nicolson type space-time finite element method for computing on moving meshes.
    Hansbo, Peter
    J. Comput. Phys. 159 (2000), no. 2, 274--289, MathSciNet.  
17. Stability of the Crank-Nicolson scheme and maximal regularity for parabolic equations in C theta Omega spaces.
    Guidetti, Davide; Piskarev, Sergei
    Numerical Functional Analysis and Optimization, v 20, n 3-4, 1999, p 251-277, Compendex.
18. Nonlinear Galerkin method and Crank-Nicolson method for viscous incompressible flow
    He, Yin-nian; Li, Dong-sheng; Li, Kai-Tai
    Journal of Computational Mathematics, v 17, n 2, 1999, p 139-158, Compendex.
19. Solution of singularly perturbed parabolic problems by parallel algorithms combining Crank-Nicholson scheme and overlapping Schwarz methods
    Sirotkin, V.V.
    Computers and Mathematics with Applications, v 38, n 3-4, Jul, 1999, p 119-142, Compendex.
20. An orthogonal spline collocation alternating direction implicit Crank-Nicolson method for linear parabolic problems on rectangles.
    Bialecki, Bernard; Fernandes, Ryan I.
    SIAM J. Numer. Anal. 36 (1999), no. 5, 1414--1434 (electronic), MathSciNet.  
21. Difference graphs of a class of alternating block Crank-Nicolson methods.
    Zhang, Baolin; Fu, Hongyuan
    Chinese Sci. Bull. 44 (1999), no. 19, 1763--1767, MathSciNet.  
22. Crank-Nicolson-Galerkin model for transport in groundwater: refined criteria for accuracy.
    Hossain, Md. Akram; Miah, A. S.
    Appl. Math. Comput. 105 (1999), no. 2-3, 173--181, MathSciNet.  
23. Difference graphs of a class of alternating block Crank-Nicolson methods. (Chinese)
    Zhang, Bao Lin; Fu, Hong Yuan
    Kexue Tongbao (Chinese) 44 (1999), no. 11, 1148--1152, MathSciNet.  
24. Alternating Crank-Nicolson method for decoupling the Ginzburg-Landau equations
    Mu, Mo; Huang, Yunqing
    SIAM Journal on Numerical Analysis, v 35, n 5, Oct, 1998, p 1740-1761, Compendex.
25. On optimum error estimates to the Crank-Nicholson scheme for Navier-Stokes problems
    Bause, M.
    Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Applied Mathematics and Mechanics, v 78, n Suppl 1, 1998, p S259, Compendex.
26. On the error of estimation of the Crank-Nicholson semi-discrete scheme for the abstract parabolic equation.
    Rogava, J.; Galdava, R.
    Proc. I. Vekua Inst. Appl. Math. 48 (1998), 129--159, MathSciNet.  
27. Linearized Crank-Nicolson-Galerkin method for the Ginzburg-Landau model
    Mu, Mo
    SIAM Journal on Scientific Computing, v 18, n 4, Jul, 1997, p 1028-1039, Compendex.
28. Convergence of a Crank-Nicolson difference scheme for heat equations with interface in the heat flow and concentrated heat capacity
    Braianov, I.
    Lecture Notes in Computer Science, v 1196, 1997, p 58, Compendex.
29. Error estimates for distributed parameter identification in parabolic problems with output least squares and Crank-Nicolson method.
    Kärkkäinen, Tommi
    Appl. Math. 42 (1997), no. 4, 259--277, MathSciNet.  
30. A corrector local Crank-Nicolson method for the two-dimensional heat equation. (Chinese)
    Abdirishit, Abduwali
    Math. Numer. Sin. 19 (1997), no. 3, 267--276, MathSciNet.  
31. A corrector local Crank-Nicolson method for the equation u t = u xx + alpha u. (Chinese)  
    Abudurexiti, Abuduwaili; Porida
    J. Xinjiang Univ. Natur. Sci.  14  (1997),  no. 3, 24--28, 34, MathSciNet.  
32. Convergence of a Crank-Nicolson difference scheme for heat equations with interface in the heat flow and concentrated heat capacity.
    Braianov, Ilia
    Numerical analysis and its applications (Rousse, 1996), 58--65, Lecture Notes in Comput. Sci., 1196, Springer, Berlin, 1997, MathSciNet.  
33. Sharp error bounds for the Crank-Nicolson and Saulyev difference scheme in connection with an initial boundary value problem for the inhomogeneous heat equation
    Esser, H.; Gobbels, St.J.; Luettgens, G.; Nessel, R.J.
    Computers & Mathematics with Applications, v 30, n 3-6, Sep, 1995, p 59--68, Compendex.
34. Numerical stability of finite difference algorithms for electrochemical kinetic simulations. Matrix stability analysis of the classic explicit, fully implicit and Crank-Nicolson methods, extended to the 3- and 4-point gradient approximation at the electrodes
    Bieniasz, Leslaw K.; Osterby, Ole; Britz, Dieter
    Computers & Chemistry, v 19, n 4, Dec, 1995, p 351, Compendex.
35. New crank-nicholson algorithm for solving the diffusive wave flood routing equation along a complex channel network
    Moussa, R.; Bouquillon, C.
    Proc 7 Int Conf Comput Methods Exp Meas CMEM 95, 1995, p 221, Compendex.
36. The stability and convergence of a Crank-Nicolson scheme for a nonlinear beam vibration equation.
    Jen, Kuo Ching
    Chinese J. Math. 23 (1995), no. 2, 97--121, MathSciNet.  
37. Modified Crank-Nicolson scheme for the initial-boundary value problem of superthermal electron transport equation.
    Sun, Zhizhong
    J. Southeast Univ. (English Ed.) 11 (1995), no. 2, 83--87, MathSciNet.  
38. The nonlinear Galerkin method and the Crank-Nicolson approximation for the Navier-Stokes equations. (Chinese)
    He, Yinnian; Huang, Qinghuai
    Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University, v 29, n 2, Feb, 1995, p 97-106 Language: Chinese, Compendex.
39. Crank-Nicolson method for the numerical solution of models of excitability
    Lopez-Marcos, J.C.
    Numerical Methods for Partial Differential Equations, v 10, n 3, May, 1994, p 323-344, Compendex.
40. Alternating block crank-nicolson method for the 3-D heat equation
    Jing, Chen
    Applied Mathematics and Computation (New York), v 66, n 1, Nov, 1994, p 41--61, Compendex.
41. A local Crank-Nicolson method for solving the heat equation.
    Abuduwali, Abdurishit; Sakakihara, Michio; Niki, Hiroshi
    Hiroshima Math. J. 24 (1994), no. 1, 1--13, MathSciNet.  
42. On alternating segment Crank-Nicolson scheme
    Baolin, Zhang; Wenzhi, Li
    Parallel Computing, v 20, n 6, Jun, 1994, p 897-902, Compendex.
43. Crank-Nicolson technique. An efficient algorithm for the simulation of electrode processes at macro- and microelectrodes
    Stoerzbach, M.; Heinze, J.
    Journal of Electroanalytical Chemistry, v 346, n 1-2, Mar 10, 1993, p 1-27, Compendex.
44. On Crank - Nicolson schemes for non-stationary problems with operators reducible to skew-symmetric form
    Kazakov, A.N.; Lebedev, V.I.; Medovikov, A.A.
    Russian Journal of Numerical Analysis and Mathematical Modelling, v 8, n 1, 1993, p 47, Compendex.
45. Alternating band Crank-Nicolson method for  u t = u xx + u yy.
    Chen, Jing; Zhang, Bao Lin
    A Chinese summary appears in Gaoxiao Yingyong Xuebao Ser. A  8 (1993), no. 4, 451.  Gaoxiao Yingyong Shuxue Xuebao Ser. B  8  (1993),  no. 2, 150--162, MathSciNet.  
46. Unconditional Convergence of Some Crank-Nicolson Lod Methods for Initial- Boundary Value Problems
    Willem Hundsdorfer
    Mathematics of Computation, Vol. 58, No. 197. (Jan., 1992), pp. 35-53, Jstor.  
47. Linearized Crank-Nicholson scheme for nonlinear Dirac equations.
    Alvarez, A.
    J. Comput. Phys. 99 (1992), no. 2, 348--350, MathSciNet.  
48. A Crank-Nicolson scheme for Hodgkin-Huxley equations. (Spanish)
    López Marcos, J. C.
    Proceedings of the XII Congress on Differential Equations and Applications/II Congress on Applied Mathematics (Spanish) (Oviedo, 1991), 497--502, Univ. Oviedo, Oviedo, 1991, MathSciNet.  
49. Convergence of symmetric Crank-Nicolson type numerical methods for the nonlinear Schrödinger equation.
    Borisov, A. B.
    Soviet J. Numer. Anal. Math. Modelling 5 (1990), no. 6, 445--463 (1991), MathSciNet.  
50. Stability and asymptotic behavior of a numerical solution corresponding to a diffusion-reaction equation solved by a finite difference scheme (Crank-Nicolson)
    Cherruault, Y.; Choubane, M.; Valleton, J.M.; Vincent, J.C.
    Computers & Mathematics with Applications, v 20, n 11, 1990, p 37-46, Compendex.
51. The Crank-Nicolson finite element method along characteristics for convection-dominated diffusion equations. (Chinese)
    Mu, Zu Yuan
    Tongji Daxue Xuebao 18 (1990), no. 2, 255--259, MathSciNet.  
52. Estimation of the convergence of modified Crank-Nicolson difference schemes for parabolic equations with nonsmooth input data. (Russian)
    Ashyralyev, A.
    Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk 1989, no. 1, 3--8, MathSciNet.  
53. A comparison of the Crank-Nicolson and waveform relaxation multigrid methods on the Intel hypercube.
    Vandewalle, Stefan; Piessens, Robert
    Proceedings of the Fourth Copper Mountain Conference on Multigrid Methods (Copper Mountain, CO, 1989), 417--434, SIAM, Philadelphia, PA, 1989, MathSciNet.  
54. Crank-Nicolson-Galerkin approximation of the periodic solutions of weakly nonlinear parabolic equations.
    Olejniczak, A.
    Zastos. Mat. 18 (1985), no. 4, 663--680, MathSciNet.  
55. On numerical schemes of the Crank-Nicolson type for the cylindrical diffusion equation.
    Ben-Zarty, Omar
    Utilitas Math. 28 (1985), 151--157, MathSciNet.  
56. The error estimates for Crank-Nicolson Galerkin methods for quasilinear parabolic equations with mixed boundary conditions.
    Sun, Che
    J. Comput. Math. 3 (1985), no. 3, 202--210, MathSciNet.  
57. Properties of the Galerkin-Crank-Nicolson upwinding scheme for an unsteady convection-diffusion problem.
    Bradeanu, D.
    Seminar of functional analysis and numerical methods, 3--20, Preprint, 85-1, Univ. "Babes-Bolyai", Cluj-Napoca, 1985, MathSciNet.  
58. The Crank-Nicolson scheme for a nonlinear parabolic problem. (Russian)
    Fisher, M.
    Tartu Riikl. Ül. Toimetised No. 715 (1985), 63--70, MathSciNet.  
59. Two New Finite Difference Schemes for Parabolic Equations  
    J. R. Cash  
    SIAM Journal on Numerical Analysis, Vol. 21, No. 3. (Jun., 1984), pp. 433-446, Jstor.  
60. An exceptional case to the Crank-Nicolson method.
    Whittaker, James V.
    Appl. Math. Notes 8 (1983), no. 3-4, 27--32, MathSciNet.  
61. On the smoothing property of the Crank-Nicolson scheme.
    Luskin, Mitchell; Rannacher, Rolf
    Applicable Anal. 14 (1982/83), no. 2, 117--135, MathSciNet.  
62. Crank-Nicolson-Galerkin approximation for Maxwell's equations.
    Hoppe, Ronald H. W.
    Math. Methods Appl. Sci. 4 (1982), no. 1, 123--130, MathSciNet.  
63. Coercive stability of a Crank-Nicolson difference scheme in spaces ~C alpha 0. (Russian)
    Ashyralyev, A. O.; Sobolevskii, P. E.
    Approximate methods for investigating differential equations and their applications, 16--24, Ku\u\i byshev. Gos. Univ., Kuybyshev, 1982, MathSciNet.  
64. The Crank-Nicolson difference scheme for differential equations in a Banach space with a time-dependent operator. (Russian)
    Ashyralyev, A. O.; Sobolevskii, P. E.
    Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk 1982, no. 3, 3--9, MathSciNet.  
65. Linear combinations of generalized Crank-Nicolson schemes.  
    Gourlay, A. R.; Morris, J. Ll.
    IMA J. Numer. Anal.  1  (1981), no. 3, 347--357, MathSciNet.  
66. Correct solvability of the Crank-Nicholson scheme for parabolic equations. (Russian)
    Ashyralyev, A. O.; Sobolevskii, P. E.
    Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk 1981, no. 6, 10--16, MathSciNet.  
67. Stability and Convergence of a Generalized Crank-Nicolson Scheme on a Variable Mesh for the Heat Equation
    Pierre Jamet
    SIAM Journal on Numerical Analysis, Vol. 17, No. 4. (Aug., 1980), pp. 530-539, Jstor.  
68. Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations  
    J. M. Varah  
    SIAM Journal on Numerical Analysis, Vol. 17, No. 2. (Apr., 1980), pp. 300-309, Jstor.  
69. Semi-groupe ultra-contractif et schéma de Crank-Nicolson dans un espace de Banach. (French)
    Emamirad, Hassan Ali
    C. R. Acad. Sci. Paris Sér. A-B 287 (1978), no. 5, A343--A345, MathSciNet.  
70. Application of the method of fractional powers of operators to the study of the Crank-Nicolson scheme for Navier-Stokes equations. (Russian)
    Zagorodnikov, Ju. I.; Sobolevskii, P. E.
    Sibirsk. Mat. \v Z. 19 (1978), no. 2, 303--317, 478, MathSciNet.  
71. A Crank-Nicolson-H^-1-Galerkin Procedure for Parabolic Problems in a Single-Space Variable
    Richard P. Kendall, Mary F. Wheeler
    SIAM Journal on Numerical Analysis, Vol. 13, No. 6. (Dec., 1976), pp. 861-876, Jstor.  
72. Numerical solution of parabolic problems by the generalized Crank-Nicolson scheme.
    Nassif, Nabil R.
    Calcolo 12 (1975), no. 1, 51--61, MathSciNet.  
73. On a Crank-Nicolson scheme for nonlinear parabolic equations.
    Reynolds, A.
    Rocky Mountain J. Math. 5 (1975), no. 4, 611--622, MathSciNet.  
74. On the Instability of Leap-Frog and Crank-Nicolson Approximations of a Nonlinear Partial Differential Equation
    B. Fornberg
    Mathematics of Computation, Vol. 27, No. 121. (Jan., 1973), pp. 45-57, Jstor.  
75. Convergent Finite Difference Schemes for Nonlinear Parabolic Equations  
    Albert C. Reynolds, Jr.  
    SIAM Journal on Numerical Analysis, Vol. 9, No. 4. (Dec., 1972), pp. 523-533, Jstor.  
76. A comparison of Crank-Nicolson and Chebyshev rational methods for numerically solving linear parabolic equations.
    Cavendish, J. C.; Culham, W. E.; Varga, R. S.
    J. Computational Phys. 10 (1972), 354--368, MathSciNet.  
77. A high-order Crank-Nicholson technique for solving differential equations.
    Davison, E. J.
    Comput. J. 10 1967 195--197, MathSciNet.  
78. On the instability of the Crank Nicholson formula under derivative boundary conditions.
    Keast, P.; Mitchell, A. R.
    Comput. J. 9 1966 110--114, MathSciNet.  
79. An extrapolated Crank-Nicolson difference scheme for quasilinear parabolic equations.
    Lees, Milton
    1967 Nonlinear Partial Differential Equations: A Symposium on Methods of Solution (Newark, Del., 1965) pp. 193--201 Academic Press, New York, MathSciNet.  
80. Chain matrices and the Crank-Nicolson equation.
    Flatt, H. P.
    IBM J. Res. Develop. 9 1965 196--199, MathSciNet.  
81. On the order of convergence of the Crank-Nicolson procedure.
    Strang, Gilbert
    J. Math. Phys. 38 1959/1960 141--144, MathSciNet.  
82. On the Crank-Nicolson procedure for solving parabolic partial differential equations.
    Juncosa, M. L.; Young, David
    Proc. Cambridge Philos. Soc. 53 (1957), 448--461, MathSciNet.  

(c) John H. Mathews 2004