Title :
Collocation techniques for singular neutral equations
Author :
Cerezo, Graciela M. ; Berdaguer, Elena Fernandez ; Herdmam, T.L. ; Turi, Janos
Author_Institution :
ICAM Virginia Tech., Blacksburg, VA, USA
Abstract :
A collocation technique in non-polynomial spline space is presented to approximate solutions of singular neutral equations (SNFDEs). Using solution representations and general well-posedness results for SNFDEs the authors show convergence of the method for a large class of initial data including the case of discontinuous initial function
Keywords :
convergence of numerical methods; initial value problems; splines (mathematics); collocation techniques; convergence; discontinuous initial function; general well-posedness results; nonpolynomial spline space; singular neutral equations; solution representations; Convergence of numerical methods; Difference equations; Differential equations; Legged locomotion; Polynomials; Spline; State-space methods;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411525