## Acta Numerica 2002:Acta Numerica anually surveys the most important developments in numerical mathematics and scientific computing. The subjects and authors of the substantive articles are chosen by a distinguished international editorial board, so as to report the most important and timely developments in a manner accessible to the wider community of professionals with an interest in scientific computing. Acta Numerica volumes are a valuable tool not only for researchers and professionals wishing to develop their understanding of numerical techniques and algorithms and follow new developments. They are also used as advanced teaching aids at colleges and universities (many of the original articles are used as the prime resource for graduate courses). |

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### Contents

Subdivision schemes in geometric modelling | 73 |

Introduction | 141 |

a posteriori error analysis | 145 |

Finite elements in computational electromagnetism | 237 |

Splitting methods | 341 |

Topological techniques for efficient rigorous computation | 435 |

The immersed boundary method | 479 |

Numerical methods for large eigenvalue problems | 519 |

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### Common terms and phrases

1-forms Acta Numerica adjoint algorithm analysis applications approximation boundary conditions compact computational Computational Electromagnetics Conley index consider construction convergence curl curlu defined definition denotes diffeomorphisms differential equations differential forms discrete differential forms divergence-free dual problem dynamical systems edge eigenvectors elastic electromagnetism equivalent error estimation error representation formula Eulerian example exterior derivative finite element method finite-dimensional flow foliation function Galerkin given grad grid Hamiltonian systems Ho(curl IB method invariant set isolating block iteration Lagrangian Lemma Lie algebra linear Math Mathematics matrix Maxwell's equations McLachlan mesh Mischaikow multivalued map nonlinear numerical order conditions orthogonal Peskin piecewise posteriori error bound preserve primal proof Quispel refinement reversing symmetry Runge–Kutta method satisfy second-order Section SIAM smooth Sobolev spaces solve splitting methods Springer structure subdivision schemes subspace Süli symplectic integrators Theorem theory tion topological vector fields vector proxies vertex volume-preserving Whitney forms