Thirteen ways to estimate global error
暂无分享,去创建一个
[1] L. Fox,et al. Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations , 1947, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[2] John Todd,et al. Solution of Differential Equations by Recurrence Relations , 1950 .
[3] Notes on Numerical Analysis--3: Solution of Differential Equations by Recurrence Relations , 1951 .
[4] V. Pereyra. On improving an approximate solution of a functional equation by deferred corrections , 1966 .
[5] N. S. Barnett,et al. Private communication , 1969 .
[6] J. Butcher. The effective order of Runge-Kutta methods , 1969 .
[7] D. C. Joyce. Survey of Extrapolation Processes in Numerical Analysis , 1971 .
[8] M. N. Spijker. On the structure of error estimates for finite-difference methods , 1971 .
[9] Hans J. Stetter,et al. Local Estimation of the Global Discretization Error , 1971 .
[10] J. M. Watt. Numerical Initial Value Problems in Ordinary Differential Equations , 1972 .
[11] H. Stetter. Analysis of Discretization Methods for Ordinary Differential Equations , 1973 .
[12] Hans J. Stetter. Economical Global Error Estimation , 1974 .
[13] Runge-Kutta Methods with Global Error Estimates , 1975 .
[14] The method of iterated defect-correction and its application to two-point boundary value problems , 1975 .
[15] L. Shampine,et al. Computer solution of ordinary differential equations : the initial value problem , 1975 .
[16] S. Scholz,et al. H. J. Stetter, Analysis of Discretization Methods for Ordinary Differential Equations. (Springer Tracts in Natural Philosophy. Ed. Coleman, B. D., Band 23). XVI + 388 S. m. 12 Fig. Berlin/Heidelberg/New York 1973. Springer‐Verlag. Preis geb. DM 120,— , 1975 .
[17] Alan C. Hindmarsh,et al. A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations , 1975, TOMS.
[18] K. Böhmer. A defect correction method for functional equations , 1976 .
[19] P. Zadunaisky. On the estimation of errors propagated in the numerical integration of ordinary differential equations , 1976 .
[20] Lawrence F. Shampine,et al. Global Error Estimates for Ordinary Differential Equations , 1976, TOMS.
[21] Reinhard Frank,et al. The method of Iterated Defect-Correction and its application to two-point boundary value problems , 1976 .
[22] H. Stetter. The defect correction principle and discretization methods , 1978 .
[23] H. J. Stetter,et al. Global error estimation in ODE-solvers , 1978 .
[24] Peter C. C. Wang,et al. Information linkage between applied mathematics and industry , 1979 .
[25] Ian Gladwell,et al. Initial Value Routines in the NAG Library , 1979, TOMS.
[26] Computational Experiments on Two Error Estimation Procedures for Ordinary Differential Equations. , 1979 .
[27] D. L. Hicks,et al. COMPARISON BETWEEN TWO ERROR ESTIMATION PROCEDURES , 1979 .
[28] P. M. Dew,et al. Estimating and controlling the global error in Gear's method , 1979 .
[29] Global error estimation for the implicit trapezoidal rule , 1980 .
[30] Bengt Lindberg. Error estimation and iterative improvement for discretization algorithms , 1980 .
[31] Klaus Böhmer,et al. Discrete Newton methods and iterated defect corrections , 1981 .
[32] Long Chen. INTRODUCTION TO MULTIGRID METHODS , 2005 .
[33] Klaus Böhmer,et al. Discrete correction methods for operator equations , 1981 .
[34] J. G. Verwer,et al. ESTIMATING THE GLOBAL ERROR OF RUNGE-KUTTA APPROXIMATIONS FOR ORDINARY DIFFERENTIAL EQUATIONS , 1982 .
[35] Global error estimation in ordinary initial value problems , 1982 .
[36] Robert D. Skeel,et al. A Theoretical Framework for Proving Accuracy Results for Deferred Corrections , 1982 .
[37] Germund Dahlquist. On the control of the global error in stiff initial value problems , 1982 .
[38] A. Brandt. Guide to multigrid development , 1982 .
[39] Lawrence F. Shampine,et al. Global error estimation for stiff ODEs , 1984 .
[40] Asymptotic theory of the global error and some techniques of error estimation , 1984 .
[41] K. Bohmer. Defect Correction Methods: Theory and Applications , 1984 .
[42] Klaus Böhmer. Defect correction methods - theory and applications , 1984, Computing : Supplementum.
[43] Hans J. Stetter,et al. The Defect Correction Approach , 1984 .
[44] Lawrence F. Shampine,et al. Global Error Estimates for ODEs Based on Extrapolation Methods , 1985 .