Title | ||
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Algorithm 689: Discretized collocation and iterated collocation for nonlinear Volterra integral equations of the second kind |
Abstract | ||
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This paper describes a FORTRAN code for calculating approximate solutions to systems of nonlinear Volterra integral equations of the second kind. The algorithm is based on polynomial spline collocation, with the possibility of combination with the corresponding iterated collocation. It exploits certain local superconvergence properties for the error estimation and the stepsize strategy. |
Year | DOI | Venue |
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1991 | 10.1145/108556.108562 | ACM Trans. Math. Softw. |
Keywords | Field | DocType |
local superconvergence,corresponding iterated collocation,stepsize strategy,nonlinear volterra integral equations of the second kind,fortran code,approximate solution,variable stepsize,error estimation,error estimations,polynomial spline collocation,nonlinear volterra integral equation,discretized collocation,iterated collocation,certain local superconvergence property,volterra integral equation | Mathematical optimization,Nonlinear system,Polynomial,Mathematical analysis,Orthogonal collocation,Integral equation,Superconvergence,Algorithm,Collocation method,Mathematics,Volterra integral equation,Collocation | Journal |
Volume | Issue | ISSN |
17 | 2 | 0098-3500 |
Citations | PageRank | References |
2 | 0.41 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Joke G Blom | 1 | 161 | 23.43 |
H. Brunner | 2 | 8 | 2.52 |