## Acta Numerica 2000:Numerical analysis is concerned mainly with using computers in evaluating or approximating mathematical models. As such, it is crucial to all applications of mathematics in science and engineering, as well as being an important discipline on its own. Acta Numerica surveys annually the most important developments in numerical analysis and scientific computing. The subjects and authors of the substantive survey articles are chosen by a distinguished international editorial board so as to report the most important and timely developments in the subject in a manner accessible to the wider community of professionals with an interest in scientific computing. |

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### Contents

Radial basis functions | 1 |

The numerical analysis of bifurcation problems | 39 |

Triangulations and meshes in computational geometry | 133 |

Liegroup methods | 215 |

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### Common terms and phrases

algorithm analysis angle applications approximation assume bifurcation theory boundary bounded Brezzi Cayley transform centres circle circumcentre circumcircle circumradius computational geometry condition constant constrained Delaunay triangulation construct convergence convex coordinates cylinder defined definition Delaunay edges Delaunay refinement Delaunay triangulation denote differential equations dimensions discrete disk Edelsbrunner edge flips eigenvalue elements error example exponential finite flow fluid fold point Golubitsky Hopf bifurcation hyperplane implies integration interpolation intersection Iserles Lemma Lie algebra Lie-group methods linear locally Delaunay Magnus expansion manifold Math matrix mesh Navier–Stokes equations nonlinear numerical methods orthogonal orthosphere paraboloid perturbation plane polyhedra polyhedron polynomial problem Proof quadratic fold quadrature radial basis functions radius Reynolds number Runge–Kutta Runge–Kutta method Section singular slivers solution space Spence sphere splines stability subset superconvergence tangent tetrahedron Theorem theory tion transcritical bifurcation triangles vector fields vertex vertices Voronoi diagrams Voronoi regions weighted Delaunay tetrahedrization zero