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

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.

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• Matemática para engenheiros
• Cálculo diferencial e equações
• Engenharia electrónica

Monte Carlo method;partial differential equation;random walk;capacitance solver;parallel algorithms