Monte Carlo Methods for Partial Differential Equations With Applications to Electronic Design Automation (eBook, PDF)

Monte Carlo Methods for Partial Differential Equations With Applications to Electronic Design Automation (eBook, PDF)

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The Monte Carlo method is one of the top 10 algorithms in the 20th 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 kinds of PDEs, and the...

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