1 Multigrid Solvers and Multilevel Optimization Strategies.- 2 An Exploration of Multilevel Combinatorial Optimisation.- 3 Multilevel Hypergraph Partitioning.- 4 Multilevel Circuit Placement.- 5 Multilevel VLSI Routing.- 6 Optimization for Reconfigurable Systems Using Hierarchical Abstraction.- 7 Practical Aspects of Multiscale Optimization Methods for VLSICAD.

In the last few decades, multiscale algorithms have become a dominant trend in large-scale scientific computation. Researchers have successfully applied these methods to a wide range of simulation and optimization problems. This book gives a general overview of multiscale algorithms; applications to general combinatorial optimization problems such as graph partitioning and the traveling salesman problem; and VLSICAD applications, including circuit partitioning, placement, and VLSI routing. Additional chapters discuss optimization in reconfigurable computing, convergence in multilevel optimization, and model problems with PDE constraints.

Audience: Written at the graduate level, the book is intended for engineers and mathematical and computational scientists studying large-scale optimization in electronic design automation.