Bibliography for Richardson Extrapolation

short

  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. 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.   
  3. Completed Richardson Extrapolation in Space and Time.
    Richards, S. A.
    Communications in numerical methods in engineering., 1997, vol. 13, no. 7, pp. 573, Ingenta.   
  4. 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.  
  5. Further results on convergence and stability of a generalization of the Richardson extrapolation process.    
    Sidi, Avram   
    BIT 36 (1996), no. 1, 143--157, MathSciNet.  
  6. 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.  
  7. 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.  
  8. 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.   
  9. 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.   
  10. Complete Richardson Extrapolation.  
    Roache, Patrick J.; Knupp, Patrick M.   
    Comm. Numer. Methods Engrg. 9 (1993), no. 5, 365--374, MathSciNet.  
  11. 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.   
  12. 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.  
  13. 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.  
  14. Some Examples Illistrating Richardson's Improvement   
    Steven Schonefeld    
    College Math Journal: Volume 21, Number 4, (1990), Pages: 314-326.   
  15. 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.  
  16. 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.  
  17. A User-Friendly Extrapolation Method for Oscillatory Infinite Integrals  
    Avram Sidi  
    Mathematics of Computation, Vol. 51, No. 183. (Jul., 1988), pp. 249-266, Jstor.  
  18. 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.    
  19. 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.    
  20. 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.    
  21. Recent Progress in Extrapolation Methods for Ordinary Differential Equations  
    P. Deuflhard  
    SIAM Review, Vol. 27, No. 4. (Dec., 1985), pp. 505-535, Jstor.  
  22. The intervals of stability of Runge Kutta methods after Richardson extrapolation.   
    Szyszkowicz, M.    
    Zastos. Mat. 18 (1985), no. 4, 657--661, MathSciNet.  
  23. Richardson extrapolation and Romberg integration.
    Dutka, Jacques
    Historia Math. 11 (1984), no. 1, 3--21, MathSciNet.   
  24. 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.  
  25. 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.   
  26. 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.  
  27. 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.  
  28. 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.  
  29. Some properties of a generalization of the Richardson extrapolation process.
    Sidi, A.
    J. Inst. Math. Appl. 24 (1979), no. 3, 327--346, MathSciNet.  
  30. 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.  
  31. 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.  
  32. 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.  
  33. 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.  
  34. Use of Richardson extrapolation for the numerical calculation of Fourier transforms.
    Einarsson, Bo
    J. Computational Phys. 21 (1976), no. 3, 365--370, MathSciNet.   
  35. Practical error estimates for repeated Richardson extrapolation schemes.    
    Ström, Torsten   
    Nordisk Tidskr. Informationsbehandling (BIT) 13 (1973), 196--205, MathSciNet.  
  36. Survey of Extrapolation Process in Numerical Analysis  
    D. C. Joyce  
    SIAM Review, Vol. 13, No. 4. (Oct., 1971), pp. 435-490, Jstor.  
  37. Richardson-extrapolation and optimal estimation.
    Stetter, H. J.
    Apl. Mat. 13 1968 187--190, MathSciNet.  
  38. 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.  
  39. 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.  
  40. 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