## Acta Numerica 1994:The annual publication Acta Numerica has established itself as the prime forum for the presentation of definitive reviews of current numerical analysis topics. The invited papers, by leaders in their respective fields, allow researchers and graduate students to quickly grasp recent trends and developments in this field. Highlights of this year's volume are articles on domain decomposition, mesh adaption, pseudospectral methods, and neural networks. |

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### Contents

Formalization and computational aspects | 3 |

Axiomatization of image multiscale analyses | 12 |

Relation between image and shape multiscale | 20 |

texture discrimination | 26 |

Formalization and computational aspects of image analysis 1 | 57 |

Aspects of the numerical analysis of neural networks | 145 |

A review of pseudospectral methods for solving partial differential | 203 |

Introduction | 210 |

Exact and approximate controllability for distributed parameter | 269 |

On the numerical evaluation of electrostatic fields in composite | 379 |

Numerical geometry of surfaces | 411 |

Numerical analysis of dynamical systems | 467 |

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### Common terms and phrases

additive Schwarz Anal applied approximation assume attractor B-spline boundary bounded Chebyshev coarse grid coefficients Comput conjugate gradient consider constant control problem convergence rate corresponding curvature curve defined delta rule denote derivative Dirichlet Dirichlet problem discrete discussed domain decomposition algorithms Domain Decomposition Methods Dryja eigenvalues elliptic problems equivalent error example finite difference finite element function given Glowinski input interface interpolation iteration Lemma linear system Math matrix Methods for Partial multiscale analysis neural networks nodes nonlinear norm numerical method obtain oooooooooooooooooooooooooooooooo oooooooooooooooooooooooooooooooo oooooooooooooooooooooooooooooooo operator optimal orthogonal output overlapping parameter parametric surface Partial Differential Equations partition Periaux plane polynomials preconditioned preconditioner Proof properties raycasting recursive division regions satisfies scheme Schur complement Schwarz algorithms Section SIAM Philadelphia solution solve space spectral methods stability subdomain subregions surface normal texton Theorem theory tion unstable manifold values vector vertex space Widlund zero