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Advanced Algorithms and Data Structures for Cyber-Physical Network Design and Analysis

This document explores the integration of algorithms and data structures that facilitate effective programming in network management models. It delves into the design and analysis of numerical algorithms for partial differential equations (PDEs) and their relationship with ordinary differential equations (ODEs) within a multi-scale framework. Through a measure-theoretic approach, it highlights applications in cyber-physical networks, including traffic management and flocking behavior controlled by sparse inputs. The insights provided aim to enhance understanding and efficiency in network systems.

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Advanced Algorithms and Data Structures for Cyber-Physical Network Design and Analysis

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  1. Algorithms + Data Structures = Programs (Wirth 1976) Models + Data Sources = Network (Management) Model Data Model -> Design, Analysis, Numerical algorithms PDE Multiscale -> ODE-PDE, Measure theoretic framework ODE Cyber-physical networks: traffic.berkeley.edu Flocking by sparse controls

  2. Algorithms + Data Structures = Programs (Wirth 1976) Models + Data Sources = Network (Management) Model Data Model -> Design, Analysis, Numerical algorithms PDE Multiscale -> ODE-PDE, Measure theoretic framework ODE Cyber-physical networks: traffic.berkeley.edu Flocking by sparse controls

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