Explorations in Numerical Analysis
暂无分享,去创建一个
[1] J. Dormand,et al. A family of embedded Runge-Kutta formulae , 1980 .
[2] G. Dahlquist. A special stability problem for linear multistep methods , 1963 .
[3] James Hardy Wilkinson,et al. Error Analysis of Direct Methods of Matrix Inversion , 1961, JACM.
[4] Dirk Laurie,et al. Calculation of Gauss-Kronrod quadrature rules , 1997, Math. Comput..
[5] L. Richardson. The Approximate Arithmetical Solution by Finite Differences of Physical Problems Involving Differential Equations, with an Application to the Stresses in a Masonry Dam , 1911 .
[6] Lloyd N. Trefethen,et al. Barycentric Lagrange Interpolation , 2004, SIAM Rev..
[7] F. R. Moulton,et al. New methods in exterior ballistics , 1927 .
[8] J. H. Wilkinson. Global convergene of tridiagonal QR algorithm with origin shifts , 1968 .
[9] G. Fairweather,et al. Numerical Methods for Two – Point Boundary Value Problems , 2008 .
[10] L. Brouwer. Über Abbildung von Mannigfaltigkeiten , 1911 .
[11] Cleve B. Moler. Demonstration of a matrix Laboratory , 1982 .
[12] M. Abramowitz,et al. Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .
[13] S. Banach. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales , 1922 .
[14] Erwin Fehlberg,et al. Klassische Runge-Kutta-Formeln vierter und niedrigerer Ordnung mit Schrittweiten-Kontrolle und ihre Anwendung auf Wärmeleitungsprobleme , 1970, Computing.
[15] E. Süli,et al. An introduction to numerical analysis , 2003 .
[16] Fujio Yamaguchi,et al. Curves and Surfaces in Computer Aided Geometric Design , 1988, Springer Berlin Heidelberg.
[17] J. C. Burkill,et al. Ordinary Differential Equations , 1964 .
[18] John R. Rice,et al. A Metalgorithm for Adaptive Quadrature , 1975, JACM.
[19] M. A. Wolfe. A first course in numerical analysis , 1972 .
[20] M. Henri Lebesgue. Sur la représentation approchée des fonctions , 1908 .
[21] A. C. Aitken. On Interpolation by Iteration of Proportional Parts, without the Use of Differences , 1932 .
[22] J. H. Wilkinson. The algebraic eigenvalue problem , 1966 .
[23] Stephen J. Wright. A Collection of Problems for Which Gaussian Elimination with Partial Pivoting is Unstable , 1993, SIAM J. Sci. Comput..
[24] Michael T. Heath,et al. Scientific Computing: An Introductory Survey , 1996 .
[25] Lawrence F. Shampine,et al. The MATLAB ODE Suite , 1997, SIAM J. Sci. Comput..
[26] W. Gautschi. Numerical analysis: an introduction , 1997 .
[27] R. P. Tewarson,et al. Error bounds for spline-on-spline interpolation , 1982 .
[28] Alfio Quarteroni,et al. Scientific Computing with MATLAB , 2003 .
[29] H. Kreiss,et al. Time-Dependent Problems and Difference Methods , 1996 .
[30] H. Keller,et al. Analysis of Numerical Methods , 1967 .
[31] L. Shampine,et al. A 3(2) pair of Runge - Kutta formulas , 1989 .
[32] John R. Rice,et al. Numerical Quadrature for General Two-Dimensional Domains , 1991 .
[33] P. Wynn,et al. Sequence Transformations and their Applications. , 1982 .