## Acta Numerica 1999:Numerical analysis, the key area of applied mathematics concerned with using computers in evaluating or approximating mathematical models, is crucial to all applications of mathematics in science and engineering. Acta Numerica annually surveys the most important developments in numerical analysis and scientific computing. The substantive survey articles, chosen by a distinguished international editorial board, report on the most important and timely advances in a manner accessible to the wider community of professionals interested in scientific computing. |

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### Contents

We describe the burgeoning field of numerical relativity which aims to solve | 2 |

Initial data | 14 |

Evolution | 25 |

Related literature | 38 |

Radiation boundary conditions for the numerical | 47 |

Numerical methods in tomography | 107 |

Approximation theory of the MLP model in neural networks | 143 |

An introduction to numerical methods for stochastic | 197 |

Computation of pseudospectra | 247 |

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