SPLINE COLLOCATION METHODS FOR A CLASS OF HYPERBOLIC PARTIAL INTEGRODIFFERENTIAL EQUATIONS

Authors
FAIRWEATHER G
Citation
G. Fairweather, SPLINE COLLOCATION METHODS FOR A CLASS OF HYPERBOLIC PARTIAL INTEGRODIFFERENTIAL EQUATIONS, SIAM journal on numerical analysis, 31(2), 1994, pp. 444-460
Citations number
24
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
31
Issue
2
Year of publication
1994
Pages
444 - 460
Database
ISI
SICI code
0036-1429(1994)31:2<444:SCMFAC>2.0.ZU;2-N
Abstract
Spline collocation methods are proposed for the spatial discretization of a class of hyperbolic partial integro-differential equations arisi ng in the theory of linear viscoelasticity. For problems in two space variables, error estimates are derived for the continuous-time orthogo nal spline collocation method and three discrete-time orthogonal splin e collocation methods. The continuous-time modified cubic spline collo cation method for problems in one space variable is also analyzed.