Stieltjes derivatives and β-polynomial spline collocation for volterra integrodifferential equations with singularities

SIAM Journal on Numerical Analysis

Volumn 33, Issue 1, 1996, Pages 208-220

  Hu, Qiya ^a  

^a XIANGTAN UNIVERSITY   (China)

Author keywords

Convergence rates; Integrodifferential equations; Quasi graded meshes; Stieltjes derivative; Superconvergence; polynomial collocation

Indexed keywords

EID: 0001194754     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/0733012     Document Type: Article

References (6)

1. H. BRUNNER, Polynomial spline collocation methods for Volterra integrodifferential equations with weakly singular kernels, IMA J. Numer. Anal., 6 (1986), pp. 221-239.
2. _, Nonpolynomial spline collocation for Volterra equations with weakly singular kernels, SIAM J. Numer. Anal., 20 (1983), pp. 1106-1119.
3. T. TANG, Superconvergence of numerical solutions to weakly singular Volterra integro differential equations, Numer. Math., 61 (1992), pp. 373-382.
4. _, A note on collocation methods for Volterra integro-differential equations with weakly singular kernels, IMA J. Numer. Anal., 13 (1993), pp. 93-99.
5. I. G. GRAHAM, Galerkin methods for second kind integral equations with singularities, Math. Comp., 37 (1982), pp. 95-99.
6. F. RIESZ AND B. SZ. NAGY, Functional Analysis, Ungar, New York. 1955.