## Simulation and Optimization of Large Systems: Based on the Proceedings of a Conference Organized by the Institute of Mathematics and Its Applications ... Held at the University of Reading, in September 1986Theoretical problems of simulation and optimization of large-scale systems are the subject of this collection of papers. The contributors discuss the practical implementation of these systems in such areas as gas networks, power systems, telecommunication networks, chemical plants, the aerospace industry, and meteorology. The specialized techniques described here have been developed to find methods of solution that can be computed at realistic cost while taking into account the special properties of particular large systems. An up-to-date survey of the subject for engineers and numerical analysts whose work involves large-scale systems. |

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### Contents

The evolution of a design methodology for large | 27 |

Multigrids applied to a solution technique for | 51 |

Conjugategradienttype methods and multigrid techniques | 67 |

Copyright | |

7 other sections not shown

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algebraic algorithm analytical derivatives application approximation array automatic differentiation basic calculations components conjugate gradient method constraints convergence cost defined design variables dimensional discretisation dynamic efficient estimates evaluations finite element flow flowsheeting FLUSCG Fortran 8x gas networks grid Hardy Cross Hessian matrix implementation integration iteration Jacobian large number large scale systems linear programming loops machine macro Mathematical Programming mesh minimisation multigrid methods NearPlan Newton method nodes non-basic nonlinear nonlinear programming Numerical Analysis objective function obtained operation optimisation problem optimization optimum Osiadacz parameters partial differential equations partially separable performance Ph.L pipe pipeline PMSP pressure networks procedure processors quadratic quasi-Newton methods radiosonde reduced Research reservoir routine SIAM Journal simplex simulation solution solved solver sparse matrix sparsity SPRINT step storage structure supercomputer techniques Toint transits Truncated Newton trust region University updated vector zero