Computation Webinar | Genuinely Multi-Dimensional Numerical Scheme for Conservation Laws
Computation Webinar | Genuinely Multi-Dimensional Numerical Scheme for Conservation Laws
Part of the MDPI Computation Webinar series
28 October 2025
Partial Differential Equations, Hyperbolic Conservation Laws, Finite Volume Numerical Methods, Continuous Galekin Method, Multi-Dimensional Evolution
Welcome from the Chair
2nd Computation Webinar
Genuinely Multi-Dimensional Numerical Scheme for Conservation Laws
Today we introduce a new numerical approach for solving the hyperbolic partial differential equations of conservation laws. Tradionally the numerically methods were based on a one-dimensional concept, on the Riemann solution. Even though this was quite successful, it requires a relatively fine grid to resolve genuinely two-dimensional features like one has in the onset of turbulent flow.
Some 10 years ago Phil Roe introduced a new concept for the numerical solution of these PDEs. It still is a finite volume method, but it borrowed some ideas from finite element theory, combining them in an innovative way. Today’s speakers will give a glimpse of this method as well as how far along it has come until today.
Date: 28 October, 2025
Time: 3:00 p.m. CET | 10:00 a.m. EDT
Webinar ID: 865 0403 1525
Webinar Secretariat: journal.webinar@mdpi.com
Event Chair
Wuerzburg University, Germany
PhD at New York University, USA, postdoc at Heidelberg University, Germany, then professor of applied mathematics at Wuerzburg University, Germany.
Invited Speakers
Imperial College
PhD 2018 at Wuerzburg University; Postdoc at Zuerich University; permanent researcher at the prestigious CNRS in France, delegated from there to Imperial College, London.
Wuerzburg University, Germany
PhD 2021 at Peking University, China; postdoc at EPFL, Lausanne, Switzerland; Humboldt fellow at Wuerzburg University, Germany; tenure-track professor at the Chinese University of Hong Kong from 2026.
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Registration
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Program
|
Speaker/Presentation |
Time in CET |
Time in EDT |
|
Chair Introduction Prof. Christian Klingenberg |
3:00 - 3:05 pm |
10:00 – 10:05 am |
|
A Review of Active Flux Methods for Hyperbolic Conservation Laws Prof.Christian Klingenberg |
3:05 - 3:25 pm |
10:05 – 10:25 am |
|
Extensions of the Active Flux Method to Arbitrary Order Dr. Wasilij Barsukow |
3:30 - 3:55 pm |
10:30 – 10:55 am |
|
An Asymptotic-Preserving Active Flux Method for a Kinetic Equation Dr.Junming Duan |
4:00 - 4:25 pm |
11:00 – 11:25 am |
|
Q&A |
At the Conclusion of Each Presentation |
|
|
Closing of Webinar Prof. Christian Klingenberg |
4:30 - 4:40 pm |
11:30 - 11:40 am |
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Organizers
