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The Monte Carlo method is one of the top 10 algorithms in the 20^th century. This book is focusing on the Monte Carlo method for solving deterministic partial differential equations (PDEs), especially its application to electronic design automation (EDA) problems. Compared with the traditional method, the Monte Carlo method is more efficient when point values or linear functional of the solution are needed, and has the advantages on scalability, parallelism, and stability of accuracy. This book presents a systematic introduction to the Monte Carlo method for solving major...

Resistance and capacitance (RC) extraction is an essential step in modeling the interconnection wires and substrate coupling effect in nanometer-technology integrated circuits (IC). The field-solver techniques for RC extraction guarantee the accuracy of modeling, and are becoming increasingly important in meeting the demand for accurate modeling and simulation of VLSI designs. Advanced Field-Solver Techniques for RC Extraction of Integrated Circuits presents a systematic introduction to, and treatment of, the key field-solver methods for RC extraction of VLSI interconnects and...

This handbook focuses on the foundations of relativistic quantum mechanics and addresses a number of fundamental issues never covered before in a book. For instance: How can many-body theory be combined with quantum electrodynamics? How can quantum electrodynamics be interfaced with relativistic quantum chemistry? What is the most appropriate relativistic many-electron Hamiltonian? How can we achieve relativistic explicit correlation? How can we formulate relativistic properties? just to name a few. Since relativistic quantum chemistry is an integral component of computational chemistry,...

The Monte Carlo method is one of the top 10 algorithms in the 20^th century. This book is focusing on the Monte Carlo method for solving deterministic partial differential equations (PDEs), especially its application to electronic design automation (EDA) problems. Compared with the traditional method, the Monte Carlo method is more efficient when point values or linear functional of the solution are needed, and has the advantages on scalability, parallelism, and stability of accuracy. This book presents a systematic introduction to the Monte Carlo method for solving major...

Resistance and capacitance (RC) extraction is an essential step in modeling the interconnection wires and substrate coupling effect in nanometer-technology integrated circuits (IC). The field-solver techniques for RC extraction guarantee the accuracy of modeling, and are becoming increasingly important in meeting the demand for accurate modeling and simulation of VLSI designs. Advanced Field-Solver Techniques for RC Extraction of Integrated Circuits presents a systematic introduction to, and treatment of, the key field-solver methods for RC extraction of VLSI interconnects and...

This book provides a comprehensive overview of the current research status and open problems in the field of structural synthesis, based on which a systematic methodology for the structural analysis of planar kinematic chains, structural synthesis of planar kinematic chains, and creative design of mechanisms is presented.

The method presented in this book not only promotes the development of theoretical research in the field of mechanical science, and the development of industrial software for the creative design of mechanisms, but also generates novel high-performance mechanisms...

This book provides a comprehensive overview of the current research status and open problems in the field of structural synthesis, based on which a systematic methodology for the structural analysis of planar kinematic chains, structural synthesis of planar kinematic chains, and creative design of mechanisms is presented.

The method presented in this book not only promotes the development of theoretical research in the field of mechanical science, and the development of industrial software for the creative design of mechanisms, but also generates novel high-performance mechanisms...