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The numerical solution of integral-algebraic equations of index 1 by polynomial spline collocation methods
Author(s):
J.-P.
Kauthen.
Journal:
Math. Comp.
70
(2001),
1503-1514.
MSC (2000):
Primary 65R20
Posted:
March 30, 2000
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Abstract:
In this paper, we study polynomial spline collocation methods applied to a particular class of integral-algebraic equations of Volterra type. We analyse mixed systems of second and first kind integral equations. Global convergence and local superconvergence results are established.
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The numerical solution of Volterra integral-algebraic equations by collocation methods.
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Continuous collocation approximations to solutions of first kind Volterra equations.
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Additional Information:
J.-P.
Kauthen
Affiliation:
Dufourstrasse 23, CH--3005 Bern, Switzerland
Email:
kauthen@bluewin.ch
DOI:
10.1090/S0025-5718-00-01257-6
PII:
S 0025-5718(00)01257-6
Keywords:
Volterra equation,
integral-algebraic,
spline collocation method
Received by editor(s):
April 1, 1997
Received by editor(s) in revised form:
September 8, 1999
Posted:
March 30, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
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