## Topics in numerical analysis: proceedings of the S.E.R.C. Summer School, Lancaster, July 19-August 21, 1981 |

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### Contents

An Introduction to the Numerical Treatment of Volterra and AbelType | 1 |

Discretization Methods | 7 |

Product Integration etc | 19 |

Copyright | |

23 other sections not shown

### Other editions - View all

Topics in Numerical Analysis: Proceedings of the S.E.R.C. Summer School ... P.R. Turner Limited preview - 2006 |

### Common terms and phrases

A-stability Abel equations algorithm applied Approximation Theory B-splines basis bh/a Boor boundary conditions choice coefficient computed conditions SW consider construction convergence convex corresponding Dahmen defined denote Department of Mathematics derivative differential equations dimension example exponential facet finite element methods formulae Galerkin Galerkin method given gives hence homotopy interior knots Kergin kernel least squares spline lemma linear functionals major cycle Math matrix mesh Micchelli multivariate B-splines norm Numerical Analysis obtained operator parameter solution Petrov-Galerkin method piecewise piecewise-linear polynomial proof properties quadrature methods quadrature rules recurrence relations reduced rules Q Runge-Kutta methods satisfies scheme second kind simplex simplices smooth solved space spline interpolation squares spline approximation stability subset subspace superconvergence techniques tensor product test functions Theorem Todd trapezium rule triangulation univariate values variables vector Volterra equations Volterra integral equations weights zero of f