COURSE OBJECTIVES
In this short course, we will cover some relevant applications of scalar conservation laws. We focus mainly on traffic flow models, but also introduce pedestrian models. We describe both the microscopic and macroscopic levels of modeling and explain the formal limit from one to the other. We also discuss in detail the solution concept of the macroscopic equations as well as numerical approximations. In a real world scenario, it is important to describe traffic flow not only on a single road, but on a complete road network. Therefore, we study the modeling and theory of traffic flow on networks. We will also provide insights into the theory and numerics of so-called nonlocal traffic flow models. In this very recent research area, classical traffic flow models are extended by introducing a nonlocal look-ahead dynamic to incorporate the traffic ahead, which brings new challenges to the theory of scalar conservation laws.
Who can participate:
This short course is mainly intended for undergraduate, post graduate students, research scholars, postdoctoral fellows, faculty of mathematics and allied areas.
Participants will get E-Certificate.
Important Dates
Start Date of Registration : 7th Feb, 2024
End Date of Registration : 28th Feb, 2024
Registration Fee Structure
Registration Fee( Including GST)
| Indian(₹) | |
|---|---|
| Student(UG / PG) | 354 |
| Research scholars | 590 |
| Postdocs/ Faculty/Others | 1180 |
Registration
Patrons
Prof. Shalivahan
Director, IIPE Visakhapatnam
Speaker
Dr. Jan Friedrich
Aachen University, Germany
Event Schedule
| S.No | Topic | Date | Time (IST) |
|---|---|---|---|
| Lecture-1 | Short Introduction to Conservation Laws and Traffic Flow Modeling | Will be updated soon | Will be updated soon |
| Lecture-2 | A Microscopic Model and its Formal Limit | Will be updated soon | Will be updated soon |
| Lecture-3 | Solution Concept of the LWR Model | Will be updated soon | Will be updated soon |
| Lecture-4 | The Godunov Scheme | Will be updated soon | Will be updated soon |
| Lecture-5 | LWR Model on Networks | Will be updated soon | Will be updated soon |
| Lecture-6 | LWR Model on Networks (Continued) | Will be updated soon | Will be updated soon |
| Lecture-7 | Nonlocal Traffic Flow Models: Theory and Numerics | Will be updated soon | Will be updated soon |
| Lecture-8 | Nonlocal Traffic Flow Models: Theory and Numerics (Continued) | Will be updated soon | Will be updated soon |
| Lecture-9 | Micro- and Macroscopic Pedestrian Models | Will be updated soon | Will be updated soon |
| Lecture-10 | Micro- and Macroscopic Pedestrian Models (Continued) | Will be updated soon | Will be updated soon |