Foreword * Preface * Part I: Programming Complexity of SAMR Algorithms. Systems engineering for high-performance computing software: The HDDA/DAGH infrastructure for implementation of parallel structured adaptive mesh. HAMR: The hierarchical adaptive mesh refinement system. AMR++: A design for parallel object-oriented adaptive mesh refinement. RSL: A parallel runtime system library for regional atmospheric models with nesting. Software abstractions and computational issues in parallel structured adaptive mesh methods for electronic structure calculations. Structured adaptive mesh refinement using high performance fortran * Part II: Applicability and Numerical Challenges of SAMR Methods. The dynamics of localized coherent structures and the role of adaptive software in multiscale modeling. Progress, results, and experiences in developing an adaptive solver for steady state turbulent reacting flows in industrial boilers and furnaces. Making arbitrarily small black holes: Experiences with AMR in numerical relativity. A hybrid AMR application for cosmology and astrophysics * List of Participants