Simone Göttlich: Traffic flow models with non-local flux and extensions to networks
We present a Godunov type numerical scheme for a class of scalar conservation laws with nonlocal flux arising for example in traffic flow modeling. The scheme delivers more accurate solutions than the widely used Lax-Friedrichs type scheme and also allows to show well-posedness of the mode
From playlist Numerical Analysis and Scientific Computing
Benjamin Seibold: "Basic Traffic Models and Traffic Waves" (Part 2/2)
Watch part 1/2 here: https://youtu.be/9_1cEtimRNE Mathematical Challenges and Opportunities for Autonomous Vehicles Tutorials 2020 "Basic Traffic Models and Traffic Waves" (Part 2/2) Benjamin Seibold - Temple University Institute for Pure and Applied Mathematics, UCLA September 17, 2020
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
Making a microscopic swarm move through a maze
A microscopic swarm, just a few millimetres in length, can move through a maze with a just few clicks of a mouse. The swarm is formed from millions of magnetic nanoparticles suspended in a rapidly oscillating magnetic field. Researchers in China have been testing the new technology by alte
From playlist Technology
Talk Andrea Tosin: Kinetic modelling of traffic flow control
The lecture was held within the of the Hausdorff Trimester Program: Kinetic Theory Abstract: In this talk, we present a hierarchical description of control problems for vehicular traffic, which aim to mitigate speed-dependent risk factors and to dampen structural uncertainties responsible
From playlist Summer School: Trails in kinetic theory: foundational aspects and numerical methods
Bertrand Maury - Transport optimal et mouvements de foules sous contrainte de congestion (Part 2)
Transport optimal et mouvements de foules sous contrainte de congestion (Part 2)
From playlist Inter’actions en mathématiques 2015
Modeling a Vehicle Powertrain - MATLAB and Simulink Video
Simscape Driveline™ is used to model a vehicle powertrain. Download a Dual Clutch Transmission Model: http://goo.gl/rsjbSk Learn more about Simscape Driveline: http://goo.gl/CdUc2Y Try Simscape Driveline: https://goo.gl/BrlkoM The model includes an engine, torque converter, gears, tires, a
From playlist Physical Modeling
Davide Gabrielli : Macroscopic fluctuation theory / Particle systems, scaling limits and...
Abstract: In this first lecture I will introduce a class of stochastic microscopic models very useful as toy models in non equilibrium statistical mechanics. These are multi-component stochastic particle systems like the exclusion process, the zero range process and the KMP model. I will d
From playlist Mathematical Physics
Martin Burger: Propagation of gradient flow structures from microscopic to macroscopic models
The lecture was held within the framework of the Hausdorff Trimester Program: Kinetic Theory Abstract: In this talk we will discuss the propagation of gradient flow structures from microscopic models in statistical mechanics such as overdamped particle dynamics or interacting particle syst
From playlist Workshop: Probabilistic and variational methods in kinetic theory
Benjamin Seibold: "Basic Traffic Models and Traffic Waves" (Part 1/2)
Watch part 2/2 here: https://youtu.be/tDzbGUBWtcI Mathematical Challenges and Opportunities for Autonomous Vehicles Tutorials 2020 "Basic Traffic Models and Traffic Waves" (Part 1/2) Benjamin Seibold - Temple University Institute for Pure and Applied Mathematics, UCLA September 16, 2020
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
Equations of Motion for a Planar Vehicle
In this video we outline equations of motion for a simple planar vehicle. This model is suitable for vehicles such as boats or hovercraft that that are restricted to move in a 2D plane but can rotate about a single axis. We derive equations of motion for the vehicle and implement the mod
From playlist Control Theory
Paola Goatin: "Macroscopic models for Autonomous Vehicles"
Mathematical Challenges and Opportunities for Autonomous Vehicles Tutorials 2020 "Macroscopic models for Autonomous Vehicles" Paola Goatin - Inria Sophia Antipolis-Méditerranée Abstract: My lecture will give an introduction to macroscopic traffic flow models (first and second order), the
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
Rinaldo Colombo: "On the Interplay between Mathematical Analysis and Traffic Modeling"
Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop IV: Social Dynamics beyond Vehicle Autonomy "On the Interplay between Mathematical Analysis and Traffic Modeling" Rinaldo Colombo - Università di Brescia Abstract: Mathematical Analysis offers a variety of to
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
Sharon Di: "Harnessing Mean-Field Game & Data Science for Mixed Autonomy"
Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop I: Individual Vehicle Autonomy: Perception and Control "Harnessing Mean-Field Game & Data Science for Mixed Autonomy" Sharon Di - Columbia University, Civil Engineering & Engineering Mechanics Abstract: As th
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
Antonella Ferrara: "From connected & autonomous vehicles control to vehicular traffic control"
Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop II: Safe Operation of Connected and Autonomous Vehicle Fleets "From connected and autonomous vehicles control to vehicular traffic control, a multi-scale perspective" Antonella Ferrara - Università di Pavia A
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
Michael Herty: "Novel Control Concepts for Heterogenous Systems"
Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop IV: Social Dynamics beyond Vehicle Autonomy "Novel Control Concepts for Heterogenous Systems" Michael Herty - RWTH Aachen University Institute for Pure and Applied Mathematics, UCLA December 2, 2020 For more
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
Benedetto Piccoli: "Beyond Vehicles and Other Flow Systems"
Mathematical Challenges and Opportunities for Autonomous Vehicles Tutorials 2020 "Beyond Vehicles and Other Flow Systems" Benedetto Piccoli - Rutgers University-Camden Institute for Pure and Applied Mathematics, UCLA September 25, 2020 For more information: https://www.ipam.ucla.edu/avt
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
The Incorrect Assumptions of the Ideal Gas Model - and Why It Still Works!
What exactly IS an Ideal Gas? And why do physicists use this model to represent real gases? In this video we'll compare the assumptions made by the ideal gas model with the properties of real gases, as well as how we can improve the ideal gas law in certain scenarios. As with every model
From playlist Thermodynamics by Parth G
Benjamin Seibold: "Energy Impact of Automated Vehicles used as Sparse Traffic Controllers"
Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop II: Safe Operation of Connected and Autonomous Vehicle Fleets "Energy Impact of Automated Vehicles used as Sparse Traffic Controllers" Benjamin Seibold - Temple University, Mathematics Abstract: It is a popul
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020