Monte Carlo Methods for Partial Differential Equations With Applications to Electronic Design Automation

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...

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Autors principals: Yu, Wenjian (Autor), Mascagni, Michael (Autor)
Autor corporatiu: SpringerLink (Online service)
Format: Electrònic eBook
Idioma:anglès
Publicat: Singapore : Springer Nature Singapore : Imprint: Springer, 2023.
Edició:1st ed. 2023.
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Accés en línia:https://doi.org/10.1007/978-981-19-3250-2
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Taula de continguts:
  • Introduction
  • Monte Carlo Method for Solving PDE
  • A Monte Carlo Algorithm for the Telegrapher’s Equations
  • Basics of Floating Random Walk Method for Capacitance Extraction
  • Pre-Characterization Techniques for FRW Based Capacitance Extraction
  • Fast FRW Solver for 3-D Structures with Cylindrical Inter-Tier-Vias
  • Fast FRW Solver for Structures with Non-Manhattan Conductors
  • Technique for Capacitance Simulation with General Floating Metals
  • Markov-Chain Random Walk and Macromodel-Aware Capacitance Extraction
  • GPU-Friendly FRW Algorithm for Capacitance Extraction
  • Distributed Parallel FRW Algorithm for Capacitance Simulation
  • A Hybrid Random Walk Algorithm for 3-D Thermal Analysis.