Superconvergence of Numerical Solutions to Volterra Integral Equations with Singularities

SIAM Journal on Numerical Analysis

Volumn 34, Issue 5, 1997, Pages 1698-1707

  Hu, Qiya ^a,b  

^a XIANGTAN UNIVERSITY   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Corrected quasi graded meshes; Higher order interpolation; Superconvergence; Weakly singular integral equation; derivative; polynomial discrete collocation

Indexed keywords

EID: 0004692099     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142994266832     Document Type: Article

References (7)

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3. H. BRUNNER, Polynomial spline collocation methods for Volterra integro-differential equations with weakly singular kernels, IMA J. Numer. Anal., 6 (1986), pp. 221-239.
4. T. TANG, A note on collocation methods for Volterra integro-differential equations with weakly singular kernels, IMA J. Numer. Anal., 13 (1993), pp. 93-99.
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6. Q. Hu, Stieltjes derivatives and β-polynomial spline collocation for Volterra integra-differential equations with singularities, SIAM J. Numer. Anal., 33 (1996), pp. 208-220.
7. I. G. GRAHAM, Galerkin methods for second kind integral equations with singularities, Math. Comp., 37 (1982), pp. 95-99.