Computational methods in large scale simulation / editors, Khin-Yong Lam, Heow-Pueh Lee.

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Foreword; Preface; Methods of Multiscale Modeling in Mechanics; 1. Introduction; 2. Methods of Modeling at Various Scales; 3. Mesoscate Methods and Information Passing; 4. Multiscale Modeling: Direct Coupling; 5. Conclusions and Outlook; Acknowtedgments; References; Efficient and Accurate Boundary Methods for Computational Optics; 1. The Multiple MuMipote Program (MMP) concept for electrodynamics; 2. The MaX-1 implementation of MMP; 3. Applications; Conclusions; Acknowledgments; References; Finite Element Modeling of Periodic Structures; 1. Introduction; 2. Formulation.

3. Numerical Results4. Conclusions; Acknowledgments; References; Factorization of Potential and Field Distributions without Utilizing the Addition Theorem; 1. Introduction; 2. Field Expansions in Real Space; 3. Diagonalization of Poisson's Equation in Radial Direction in Spherical Co-ordinates; 4. Derivation of Green's Functions in Spherical Co-ordinates; 5. Three-Layer Problem; 6. Five-Layer Problem; 7. Conclusion; Acknowledgement; References; Virtualization-Aware Application Framework for Hierarchical Multiscale Simulations on a Grid; 1. Introduction.

2. Linear-Seating Atomistic Simuiation Algorithms3. Scalable Parallel Computing Framework; 4. Hierarchical Muitiscaie Simulations on a Grid; 5. Immersive and Interactive Visualization of Massive Datasets; 6. Conclusion; Acknowtedgments; References; Molecular Dynamics Simulation and Local Quantities; 1. Introduction; 2. Local quantities; 3. Local pressurem; 4. Concluding remarks; Acknowledgments; References; Recent Advances in Modeling and Simulation of High-Speed Interconnects; 1. Introduction; 2. Distributed Transmission Line Equations; 3. Formulation of Circuit Equations.

4. Simulation Techniques Based on Transmission Line Macromodels5. Model-Reduction Based Simulation Algorithms; 6. Model-reduction based on explicit moment-matching; 7. Model-Reduction Based on Krylov-subspace Techniques; 8. Related Topics and Further Reading; Acknowledgements; References; Multiscale Modeling of Degradation and Failure of Interconnect Lines Driven by Electromigration and Stress Gradients; 1. Introduction; 2. Multiscale Discrete-Continuum Formulation; 3. Applications; 4. Conclusions; Acknowledgments; References.

This 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.

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