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"Multilevel adaptive methods play an increasingly important role in the solution of many scientific and engineering problems. Fast adaptive methods techniques are widely used by specialists to execute and analyze simulation and optimization problems. This monograph presents a unified approach to adaptive methods, addressing their mathematical theory, efficient algorithms, and flexible data structures."

"A practical handbook for understanding and using fast adaptive composite grid (FAC) methods for discretization and solution of partial differential equations (PDEs). Contains fundamental concepts. These so-called FAC are characterized by their use of a composite grid, which is nominally the union of various uniform grids. FAC is capable of producing a composite grid with tailored resolution, and a corresponding solution with commensurate accuracy, at a cost proportional to the number of composite grid points. Moreover, special asynchronous versions of the fast adaptive composite grid methods (AFAC) studied here have seemingly optimal complexity in a parallel computing environment. Most of the methods treated in this book were discovered only within the last decade, and in many cases their development is still in its infancy. While this is not meant to be comprehensive, it does provide a theoretical and practical guide to multilevel adaptive methods and relevant discretization techniques. It also contains new material, which is included to fill in certain gaps and to expose new avenues of research. Also, because adaptive refinement seems to demand a lot of attention to philosophical issues, personal perspectives are often brought freely into the discussion."

"This handbook provides a comprehensive and systematic introduction to the Cyber-Physical Systems (CPS) from the aspects of fundamental concepts, major challenges, and effective solutions. The focuses are on: infrastructure and design methodology, communication protocol, embedded systems, real-time CPS, time synchronization in CPS, CPS collaborative computing, reputational computing in CPSs. A comprehensive vision on the applications are also presented in the fields of smart Grid, software infrastructure for smart building monitoring, healthcare monitoring, safety & security in industrial process, structure monitoring, etc.This handbook is intended for a wide range of audience, including academic researchers, graduate students, practitioners in industry, and research engineers. It can be an excellent reference work for the academic researchers, industry practitioners, and research engineers working in the field of CPS to learn the state-of-the-art technologies."