Spectral analysis of hermite cubic spline collocation systems

被引：16

作者：

Sun, WW ^{[1
]}

机构：

[1] City Univ Hong Kong, Dept Math, Kowloon, Peoples R China

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1999年 / 36卷 / 06期

关键词：

spline collocation; differentiation matrices; eigenvalues;

D O I：

10.1137/S0036142997322722

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present an eigenvalue analysis of the first-order and second-order Hermite cubic spline collocation differentiation matrices with arbitrary collocation points. Some important features are explored and compared with some other discrete methods, such as finite difference methods.

引用

页码：1962 / 1975

页数：14

共 24 条

[1]

ALLEN MB, 1983, J SOC PETROLEUM FEB, P135

[2] STABILITY OF COLLOCATION AT GAUSSIAN POINTS [J].

ASCHER, U ;

BADER, G .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1986, 23 (02) :412-422

[3]

ASCHER U, 1981, ACM T MATH SOFTWARE, V7, P209, DOI 10.1145/355945.355950

[4]

Ascher U.M., 1988, NUMERICAL SOLUTION B

[5] FAST DIRECT SOLVERS FOR PIECEWISE HERMITE BICUBIC ORTHOGONAL SPLINE COLLOCATION EQUATIONS [J].

BIALECKI, B ;

FAIRWEATHER, G ;

BENNETT, KR .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (01) :156-173

[6]

Canuto C., 2012, Spectral Methods: Fundamentals in Single Domains

[7] COLLOCATION METHODS FOR PARABOLIC PARTIAL-DIFFERENTIAL EQUATIONS IN ONE SPACE DIMENSION [J].

CERUTTI, JH ;

PARTER, SV .

NUMERISCHE MATHEMATIK, 1976, 26 (03) :227-254

[8] COLLOCATION AT GAUSSIAN POINTS [J].

DEBOOR, C ;

SWARTZ, B .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1973, 10 (04) :582-606

[9] THE PERFORMANCE OF THE COLLOCATION AND GALERKIN METHODS WITH HERMITE BI-CUBICS [J].

DYKSEN, WR ;

HOUSTIS, EN ;

LYNCH, RE ;

RICE, JR .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1984, 21 (04) :695-715

[10] TENSOR PRODUCT GENERALIZED ADI METHODS FOR SEPARABLE ELLIPTIC PROBLEMS [J].

DYKSEN, WR .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1987, 24 (01) :59-76

← 1 2 3 →