Double exponential transformation in the Sinc-collocation method for two-point boundary value problems
Tài liệu tham khảo
Bialecki, 1991, Sinc-collocation methods for two-point boundary value problems, IMA J. Numer. Anal., 11, 357, 10.1093/imanum/11.3.357
Eggert, 1987, Sinc function computation of the eigenvalues of Sturm–Liouville problems, J. Comput. Phys., 69, 209, 10.1016/0021-9991(87)90163-X
Kowalski, 1995
Lund, 1986, Symmetrization of the Sinc–Galerkin method for boundary value problems, Math. Comput., 47, 571, 10.1090/S0025-5718-1986-0856703-9
Lund, 1992
Mori, 1985, Quadrature formulas obtained by variable transformation and DE rule, J. Comput. Appl. Math., 12&13, 119, 10.1016/0377-0427(85)90011-1
M. Mori, M. Sugihara, The double exponential transformation in numerical analysis, in: Numerical Analysis in the 20th Century Vol. V, W. Gautschi, F. Marcellán, L. Reichel (Eds.), Quadrature and Orthogonal Polynomials, J. Comput. Appl. Math. 127 (2001) 287–296.
Ng, 1999, Fast iterative methods for symmetric Sinc–Galerkin systems, IMA J. Numer. Anal., 19, 357, 10.1093/imanum/19.3.357
Stenger, 1993
F. Stenger, Summary of Sinc numerical methods, in: Numerical Analysis in the 20th Century, Vol. I, L. Wuytack, J. Wimp (Eds.), Approximation Theory, J. Comput. Appl. Math. 121 (2000) 379–420.
Sugihara, 1997, Optimality of the double exponential formula—functional analysis approach, Numer. Math., 75, 379, 10.1007/s002110050244
M. Sugihara, Near optimality of the Sinc approximation, Math. Comput., to appear.
Takahasi, 1974, Double exponential formulas for numerical integration, Publ. Res. Inst. Math. Sci., 9, 721, 10.2977/prims/1195192451