## Computational Methods in Large Scale SimulationThis volume documents the research carried out by visiting scientists attached to the Institute for Mathematical Sciences (IMS) at the National University of Singapore and the Institute of High Performance Computing (IHPC) under the program “Advances and Mathematical Issues in Large Scale Simulation.” From 2002 to 2003, researchers from various countries gathered to initiate interesting and innovative work on various themes related to multiscale simulation and fast algorithms.Today, modeling and simulation are used extensively to solve complex problems and to reduce the use of experimentation during the design and analysis stage. It is important to know the various issues that have to be considered in the successful development of computational methodologies for such work.This volume is a compilation of the research by various visiting scientists in the area of modeling and multiscale simulation. Each article covers a major project and documents how computational methodology, mathematical modeling, high performance computing and simulation are combined in a multiscale scheme to solve a variety of complex problems. Some of these include the design, synthesis, processing, characterization and manufacture of nanomaterials and nanostructures, new algorithms for computational work, and grid computing.Through the included examples, readers can realize the vast potential of computational modeling and large scale simulation for the solution of problems in a variety of disciplines and applications. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Efficient and Accurate Boundary Methods for Computational Optics | 57 |

Finite Element Modeling of Periodic Structures | 129 |

Factorization of Potential and Field Distributions without Utilizing | 169 |

Copyright | |

4 other sections not shown

### Other editions - View all

### Common terms and phrases

accuracy accurate algorithm analysis Antennas Propagat applied approximation array atomistic band gap basis functions calculated circuit cohesive zone complex computation condition number conformal mapping consider continuum convergence coordinate coupled crack growth defects defined deformation density dielectric direction displacement distributed domain effects efficient eigenvalue eigenvalue search elastic electric current electric field electromagnetic electromigration equation error example finite element force frequency geometry gradient grain boundary grid IEEE IEEE Trans integration interactions interface lattice space layer line interconnect linear lossy macromodel matching points material matrix method Million f modes multipole expansions Nakhla networks obtained optimal pad atoms parameters passive periodic boundary conditions photonic crystals Phys plane wave potential Poynting vector pressure problem reflection coefficient region scale series expansion shown in Figure simulation solution solved solver spherical Step stress structures subnetwork surface symmetry techniques tensor transmission lines unit cell vector Void motion waveguide