1. Richardson extrapolation of iterated discrete Galerkin solution for two-dimensional Fredholm integral equations.
   Han, Guoqiang; Wang, Ruifang
   J. Comput. Appl. Math. 139 (2002), no. 1, 49--63, MathSciNet.  
2. Evaluation of Richardson Extrapolation in Computational Fluid Dynamics
   Shyy, W.; Garbey, M.; Appukuttan, A.; Wu, J.
   Numerical Heat Transfer Part B Fundamentals, 2002, vol. 41, no. 2, pp. 139-164, Ingenta.   
3. Grid Refinement Study with a UHCA Wing-Body Configuration Using Richardson Extrapolation and Grid Convergence Index GCI
   Rakowitz, M.
   Notes on Numerical Fluid Mechanics, 2002, vol. 77, pp. 297-303, Ingenta.   
4. The generalized Richardson extrapolation process GREP and computation of derivatives of limits of sequences with applications to the d^1-transformation.   
   Sidi, Avram
   Numerical analysis 2000, Vol. II: Interpolation and extrapolation. J. Comput. Appl. Math. 122 (2000), no. 1-2, 251--273, MathSciNet.  
5. The Richardson Extrapolation Process with a Harmonic Sequence of Collocation Points
   Sidi, Avram
   SIAM J. Numer. Anal. 37 (2000), no. 5, 1729--1746 (electronic), MathSciNet.  
6. Accuracy of the Richardson Extrapolation Method in Eigenvalue Problems
   Maiko, N. V.; Prikazchikov, V. G.
   Cybernetics and Systems Analysis, 2000, vol. 36, no. 6, pp. 879-890, Ingenta.   
7. Computation of Compound Distributions II: Discretization Errors and Richardson Extrapolation
   Grubel, R.; Hermesmeier, R.
   Astin Bulletin, 2000, vol. 30, no. 2, pp. 309-332, Ingenta.   
8. Further convergence and stability results for the generalized Richardson extrapolation process GREP(1) with an application to the D(1)-transformation for infinite integrals.
   Sidi, Avram
   Numerical evaluation of integrals. J. Comput. Appl. Math. 112 (1999), no. 1-2, 269--290, MathSciNet.  
9. On Richardson extrapolation of Strang formula for reaction-diffusion equations.
   Descombes, Stéphane; Schatzman, Michelle
   Équations aux dérivées partielles et applications, 429--452, Gauthier-Villars, Éd. Sci. Méd. Elsevier, Paris, 1998, MathSciNet.  
10. FDEXTR 2.1: A new version of a program for the finite-difference solution of the coupled-channel Schrodinger equation using the Richardson extrapolation.
    Abrashkevich, A. G.; Abrashkevich, D. G.
    Computer physics communications, 1998, vol. 113, no. 1, pp. 105, Ingenta.  
11. A Complete Convergence and Stability Theory for a Generalized Richardson Extrapolation Process.
    Sidi, Avram
    SIAM J. Numer. Anal. 34 (1997), no. 5, 1761--1778, MathSciNet.  
12. Completed Richardson Extrapolation in Space and Time.
    Richards, S. A.
    Communications in numerical methods in engineering., 1997, vol. 13, no. 7, pp. 573, Ingenta.   
13. A Note on Richardson Extrapolation as an Error Estimator for Nonlinear Reaction-Diffusion Problems.
    Abbasian, R. O.; Carey, G. F.
    Communications in numerical methods in engineering., 1997, vol. 13, no. 7, pp. 533, Ingenta.   
14. Numerical Experiments on Application of Richardson Extrapolation With Nonuniform Grids.
    Celik, Ismail; Karatekin, Ozgur
    Journal of fluids engineering, 1997, vol. 119, no. 3, pp. 584, Ingenta
15. An Extrapolation Method for a Class of Boundary Integral Equations  
    Yuesheng Xu, Yunhe Zhao  
    Mathematics of Computation, Vol. 65, No. 214. (Apr., 1996), pp. 587-610, Jstor.  
16. Further results on convergence and stability of a generalization of the Richardson extrapolation process.    
    Sidi, Avram   
    BIT 36 (1996), no. 1, 143--157, MathSciNet.  
17. Convergence Analysis for a Generalized Richardson Extrapolation Process with an Application to the d^1-Transformation on Convergent and Divergent Logarithmic Sequences  
    Avram Sidi  
    Mathematics of Computation, Vol. 64, No. 212. (Oct., 1995), pp. 1627-1657, Jstor.  
18. Extrapolation Methods for the Weak Approximation of Ito Diffusions  
    P. E. Kloeden, E. Platen, N. Hofmann  
    SIAM Journal on Numerical Analysis, Vol. 32, No. 5. (Oct., 1995), pp. 1519-1534, Jstor.  
19. Calculation of Numerical Uncertainty Ussing Richardson Extrapolation: Application to Some Simple Turbulent Flow Calculations.
    Celik, Ismail; Zhang, Wei-Ming
    Journal of fluids engineering, 1995, vol. 117, no. 3, pp. 439, Ingenta.   
20. FDEXTR, a Program for the Finite-Difference Solution of the Coupled-Channel Schrodinger Equation using Richardson Extrapolation.
    Abrashkevich, A. G.; Abrashkevich, D. G.
    Computer physics communications, 1994, vol. 82, no. 2/3, pp. 209, Ingenta.  
21. Finite-Difference Solution of the Coupled-Channel Schrodinger Equation using Richardson Extrapolation.
    Abrashkevich, A. G.; Abrashkevich, D. G.
    Computer physics communications, 1994, vol. 82, no. 2/3, pp. 193, Ingenta.   
22. Richardson Extrapolation in Boundary Value Problems for Differential Equations with Nonregular Right-hand Side.
    Lima, P. M.
    Journal of computational and applied mathematics, 1994, vol. 50, no. 1/3, pp. 385, Ingenta.   
23. Accurate Solution of the Paraxial Wave Equation Using Richardson Extrapolation.
    Chinni, V. R.; Menyuk, C. R.; Wai, P. K. A.
    IEEE photonics technology letters, 1994, vol. 6, no. 3, pp. 409, Ingenta.   
24. Richardson extrapolation in boundary value problems for differential equations with nonregular right-hand side.
    Lima, Pedro M.
    Proceedings of the Fifth International Congress on Computational and Applied Mathematics (Leuven, 1992). J. Comput. Appl. Math. 50 (1994), no. 1-3, 385--400, MathSciNet.   
25. The Use of Richardson Extrapolation for the Numerical Solution of Low Mach Number Flow in Confined Regions.
    Johansson, B. Christer V.  
    J. Sci. Comput. 8 (1993), no. 4, 307--340, MathSciNet.  
26. Complete Richardson Extrapolation.  
    Roache, Patrick J.; Knupp, Patrick M.   
    Comm. Numer. Methods Engrg. 9 (1993), no. 5, 365--374, MathSciNet.  
27. Local error expansions and Richardson extrapolation for the streamline diffusion finite element method.
    Chen, H.; Rannacher, R.
    East-West J. Numer. Math. 1 (1993), no. 4, 253--265, MathSciNet.  
28. Application of Richardson Extrapolation to Linear Functional Equations with Mildly Smooth Solutions.
    Allen, E. J.
    International journal of computer mathematics, 1993, vol. 47, no. 3/4, pp. 239, Ingenta.   
29. Accurate finite difference calculation of the natural frequencies of Euler-Bernoulli beams using Richardson extrapolation.
    Orduna-Bustamante, F.
    Journal of sound and vibration, 1993, vol. 162, no. 2, pp. 361, Ingenta.   
30. Richardson extrapolation in boundary value problems for differential equations with nonregular right-hand side.
    Lima, Pedro M.
    Proceedings of the Fifth International Congress on Computational and Applied Mathematics (Leuven, 1992). J. Comput. Appl. Math. 50 (1994), no. 1-3, 385--400, MathSciNet.  
31. Superconvergence and Extrapolation for Mixed Finite Element Methods on Rectangular Domains  
    Junping Wang  
    Mathematics of Computation, Vol. 56, No. 194. (Apr., 1991), pp. 477-503, Jstor.  
32. Richardson Extrapolation Applied to Difference Methods for Numerically Solving the Neutron Transport Equation in Spherical Geometry.
    Abbott, W.E.
    Nuclear science and engineering, 1991, vol. 108, no. 3, pp. 278, Ingenta.   
33. Iterative Calculation of the Second Derivative of the Gravity Field Using Richardson's Formula.
    Abdelrahman, E.M.; Bayoumi, A.I.; El-Araby, H.M.
    Al-majallah al-arabiyah lil-ulum wa-al-handasah, 1991, vol. 16, no. 1, pp. 53, Ingenta.  
34. Extrapolation of the Iterated-Collocation Method for Integral Equations of the Second Kind  
    Q. Lin, I. H. Sloan, R. Xie  
    SIAM Journal on Numerical Analysis, Vol. 27, No. 6. (Dec., 1990), pp. 1535-1541, Jstor.  
35. Some Examples Illistrating Richardson's Improvement   
    Steven Schonefeld    
    College Math Journal: Volume 21, Number 4, (1990), Pages: 314-326.   
36. Finite Element Eigenvalue Computation on Domains with Reentrant Corners Using Richardson Extrapolation.
    Blum, H.; Rannacher, R.
    J. Comput. Math. 8 (1990), no. 4, 321--332, MathSciNet.   
37. On a Generalization of the Richardson Extrapolation Process.
    Sidi, Avram
    Numer. Math. 57 (1990), no. 4, 365--377, MathSciNet.  
38. A Stable Extrapolation Method for Multidimensional Degenerate Parabolic Problems  
    Ricardo H. Nochetto  
    Mathematics of Computation, Vol. 53, No. 188. (Oct., 1989), pp. 455-470, Jstor.  
39. Estimation of convergence orders in repeated Richardson extrapolation.    
    Christiansen, Edmund; Petersen, Henrik Gordon
    BIT 29 (1989), no. 1, 48--59, MathSciNet.  
40. On Richardson extrapolation for finite difference methods on regular grids.
    Fössmeier, Reinhard
    Numer. Math. 55 (1989), no. 4, 451--462, MathSciNet.  
41. Higher order schemes and Richardson extrapolation for singular perturbation problems.
    Herceg, Dragoslav; Vulanovi, Relja; Petrovi, Nenad
    Bull. Austral. Math. Soc. 39 (1989), no. 1, 129--139, MathSciNet.  
42. Systolic estimation of derivatives using Richardson-Romberg's extrapolation method for central-divided differences.
    Cruceanu, M.
    Bul. Inst. Politehn. Iasi Sect. I 35(39) (1989), no. 1-2, 69--74, MathSciNet.  
43. Erratum: Correction to "Extrapolation Methods for Vector Sequences"  
    David A. Smith, William F. Ford, Avram Sidi  
    SIAM Review, Vol. 30, No. 4. (Dec., 1988), pp. 623-624, Jstor.  
44. A User-Friendly Extrapolation Method for Oscillatory Infinite Integrals  
    Avram Sidi  
    Mathematics of Computation, Vol. 51, No. 183. (Jul., 1988), pp. 249-266, Jstor.  
45. Richardson Extrapolation and the Bootstrap (in Theory and Methods)  
    Peter J. Bickel, Joseph A. Yahav  
    Journal of the American Statistical Association, Vol. 83, No. 402. (Jun., 1988), pp. 387-393, Jstor.    
46. Systolic networks for numerical differentiation by using Richardson-Romberg extrapolation method.
    Brudaru, Octav
    An. Stiint. Univ. Al. I. Cuza Iasi Sect. I a Mat. 34 (1988), no. 4, 347--353. 65-04, MathSciNet.  
47. An Algorithm for a Generalization of the Richardson Extrapolation Process  
    William F. Ford, Avram Sidi  
    SIAM Journal on Numerical Analysis, Vol. 24, No. 5. (Oct., 1987), pp. 1212-1232, Jstor.    
48. Extrapolation Methods for Vector Sequences  
    David A. Smith, William F. Ford, Avram Sidi  
    SIAM Review, Vol. 29, No. 2. (Jun., 1987), pp. 199-233, Jstor.    
49. On Richardson extrapolation for linear finite elements on domains with reentrant corners.
    Blum, H.
    Z. Angew. Math. Mech. 67 (1987), no. 5, T351--T353, MathSciNet.   
50. Some remarks on the intervals of stability of Runge-Kutta methods after Richardson extrapolation.
    Olejniczak, A.
    Zastos. Mat. 19 (1987), no. 2, 335--339, MathSciNet.  
51. Methods of numerical integration of oscillatory functions by the DE-formula with the Richardson extrapolation.
    Sugihara, Masaaki
    J. Comput. Appl. Math. 17 (1987), no. 1-2, 47--68, MathSciNet.   
52. Richardson extrapolation for a mixed finite element approximation of a plate bending problem.
    Rannacher, R.
    Z. Angew. Math. Mech. 67 (1987), no. 5, T381--T383, MathSciNet.  
53. Asymptotic error expansion and Richardson extrapolation for linear finite elements.
    Blum, H.; Lin, Q.; Rannacher, R.
    Numer. Math. 49 (1986), no. 1, 11--37, MathSciNet.  
54. Recent Progress in Extrapolation Methods for Ordinary Differential Equations  
    P. Deuflhard  
    SIAM Review, Vol. 27, No. 4. (Dec., 1985), pp. 505-535, Jstor.  
55. The intervals of stability of Runge Kutta methods after Richardson extrapolation.   
    Szyszkowicz, M.    
    Zastos. Mat. 18 (1985), no. 4, 657--661, MathSciNet.  
56. Rosenbrock methods for stiff ODEs: a comparison of Richardson extrapolation and embedding technique.   
    Kaps, P.; Poon, S. W. H.; Bui, T. D.   
    Computing 34 (1985), no. 1, 17--40, MathSciNet.  
57. Richardson extrapolation and Romberg integration.
    Dutka, Jacques
    Historia Math. 11 (1984), no. 1, 3--21, MathSciNet.   
58. On Certain Extrapolation Methods for the Numerical Solution of Integro-Differential Equations  
    S. H. Chang  
    Mathematics of Computation, Vol. 39, No. 159. (Jul., 1982), pp. 165-171, Jstor.  
59. An algorithm for a special case of generalization of the Richardson extrapolation process.
    Sidi, Avram
    Numer. Math. 38 (1981/82), no. 3, 299--307, MathSciNet.   
60. ODE simulation of engineering systems and the practical significance of Richardson extrapolation.   
    Bond, R.   
    Proceedings of the seventh South African symposium on numerical mathematics (Durban, 1981), 37--41, Univ. Natal, Durban, 1981, MathSciNet.  
61. The Extrapolation of First Order Methods for Parabolic Partial Differential Equations, II  
    A. R. Gourlay, J. Ll. Morris  
    SIAM Journal on Numerical Analysis, Vol. 17, No. 5. (Oct., 1980), pp. 641-655, Jstor.  
62. An Efficient One-Point Extrapolation Method for Linear Convergence  
    Richard F. King  
    Mathematics of Computation, Vol. 35, No. 152. (Oct., 1980), pp. 1285-1290, Jstor.  
63. An Extrapolation Method of Order Four For Linear Sequences  
    Richard F. King  
    SIAM Journal on Numerical Analysis, Vol. 16, No. 5. (Oct., 1979), pp. 719-725, Jstor.  
64. Some properties of a generalization of the Richardson extrapolation process.
    Sidi, A.
    J. Inst. Math. Appl. 24 (1979), no. 3, 327--346, MathSciNet.  
65. The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I  
    J. D. Lawson, J. Ll. Morris  
    SIAM Journal on Numerical Analysis, Vol. 15, No. 6. (Dec., 1978), pp. 1212-1224, Jstor.  
66. Computational Experiments and Techniques for the Penalty Method with Extrapolation  
    J. Thomas King, Steven M. Serbin  
    Mathematics of Computation, Vol. 32, No. 141. (Jan., 1978), pp. 111-126, Jstor.  
67. Simplified error considerations for Richardson's method.
    Albrecht, Peter
    Z. Angew. Math. Mech. 57 (1977), no. 1, 49--51, MathSciNet.  
68. Improvement of Sastry's numerical solution of an integral equation by Richardson extrapolation.
    Squire, William
    Indian J. Pure Appl. Math. 8 (1977), no. 2, 137--138, MathSciNet.   
69. A Penalty and Extrapolation Method for the Stationary Stokes Equations  
    Richard S. Falk, J. Thomas King  
    SIAM Journal on Numerical Analysis, Vol. 13, No. 5. (Oct., 1976), pp. 814-829, Jstor.  
70. A Polynomial Extrapolation Method for Finding Limits and Antilimits of Vector Sequences  
    S. Cabay, L. W. Jackson  
    SIAM Journal on Numerical Analysis, Vol. 13, No. 5. (Oct., 1976), pp. 734-752, Jstor.  
71. Use of Richardson extrapolation for the numerical calculation of Fourier transforms.
    Einarsson, Bo
    J. Computational Phys. 21 (1976), no. 3, 365--370, MathSciNet.   
72. Practical error estimates for repeated Richardson extrapolation schemes.    
    Ström, Torsten   
    Nordisk Tidskr. Informationsbehandling (BIT) 13 (1973), 196--205, MathSciNet.  
73. Survey of Extrapolation Process in Numerical Analysis  
    D. C. Joyce  
    SIAM Review, Vol. 13, No. 4. (Oct., 1971), pp. 435-490, Jstor.  
74. Richardson-extrapolation and optimal estimation.
    Stetter, H. J.
    Apl. Mat. 13 1968 187--190, MathSciNet.  
75. The Use of Richardson Extrapolation in One-Step Methods with Variable Step Size  
    F. G. Lether  
    Mathematics of Computation, Vol. 20, No. 95. (Jul., 1966), pp. 379-385, Jstor.  
76. Method of Functional Extrapolation for the Numerical Integration of Ordinary Differential Equations  
    J. R. M. Radok  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 7, No. 4. (Dec., 1959), pp. 425-430, Jstor.  
77. On the Error Propagation in Adams' Extrapolation Method  
    B. Zondek, J. W. Sheldon  
    Mathematical Tables and Other Aids to Computation, Vol. 13, No. 65. (Jan., 1959), pp. 52-55, Jstor.  

(c) John H. Mathews 2003