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Opening Workshop

Recent Advances in Numerical Methods for Hyperbolic Conservation Laws

December 9-15, 2023
Shenzhen International Center for Mathematics

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Overview


This is an Opening Workshop of the Special Program on Numerical Methods for Nonlinear Hyperbolic PDEs, which will be organized at the Shenzhen International Center for Mathematics. The main part of the program will take place throughout the Spring semester in 2024.The aim of the Opening Workshop is to bring together world leading experts in the field, who will give 32 invited talks over the period of one week. A substantial part of this focused workshop will be devoted to discussion sessions and exchange of ideas between the participants. Many of the workshop speakers will visit SUSTech again in the framework of the main part of the Special Program in Spring 2024, spend different periods of time at the Shenzhen International Center for Mathematics, participate in other program events, and offer mini-courses.

Program

December 8 (Arrival and Registration)


December 9 (Saturday)

Time Speaker
8:45-9:15 Opening ceremony
9:15-10:00 Alina Chertock, North Carolina State University, USA
Structure-Preserving Numerical Methods for Hyperbolic Systems of Conservation and Balance Laws
10:00-10:45 Jianxian Qiu, Xiamen University, China
A Robust Fifth order Finite Difference Hermite WENO Scheme for Compressible Euler Equations
10:45-11:15 Tea break
11:15-12:00 Tao Xiong, Xiamen University, China
Efficient Asymptotic Preserving SL-DG Methods for Multiscale Kinetic Transport Equations
12:00-14:00 Lunch break
14:00-14:45 Remi Abgrall, University of Zurich, Switzerland
Towards a VEM formulation for hyperbolic problems
14:45-15:15 Tea break
15:15-16:00 Yinhua Xia, USTC, China
A Hybrid WENO Scheme for Steady-State Simulations of Euler Equations
16:00-16:45 Juan Cheng, IAPCM, CAS, China
The High Order Positivity-Preserving Conservative Remapping Methods and Their Application in the ALE Simulation of Compressible Fluid Flow
16:45-18:00 Discussion session
18:00-21:00 Conference dinner

December 10 (Sunday)

Time Speaker
9:00-9:45 Huazhong Tang, Peking University, China
High-order Structure-Preserving Schemes for Special Relativistic Hydrodynamics
9:45-10:30 Michael Dumbser, University of Trento, Italy
High Order Well-Balanced Finite Volume and Discontinuous Galerkin Schemes for a First Order Hyperbolic Reformulation of the Coupled Einstein-Euler System in 3+1 General Relativity
10:30-11:00 Tea break
11:00-11:45 Kailiang Wu, SUSTech, China
Geometric Quasi-Linearization (GQL) for Bound-Preserving Schemes
11:45-14:00 Lunch break
14:00-14:45 Wai Sun Don, Hong Kong Baptist University
A Time-Continuous Embedding Method for Solving One-Dimensional Hyperbolic Conservation Laws on Manifolds
14:45-15:15 Tea break
15:15-16:00 Yan Jiang, USTC, China
A New Type of Simplified Inverse Lax-Wendroff Boundary Treatment for Hyperbolic Conservation Laws
18:00-21:00 Conference dinner

December 11 (Monday)

Time Speaker
9:00-9:45 Manuel Castro, University of Malaga, Spain
Implicit Exactly Well-Balanced Finite Volume Schemes for Balance Laws with Singular Source Terms
9:45-10:30 Guoxian Chen, Wuhan University, China
The Stability of the Central Scheme for Hyperbolic Conservation Laws
10:30-11:00 Tea break
11:00-11:45 Yingda Cheng, Michigan State University, USA
Sparse grid discontinuous Galerkin (DG) methods for high dimensional PDEs
11:45-14:00 Lunch break
14:00-14:45 Vasily Goloviznin, Lomonosov Moscow State University, Russia
Inversive CABARET Scheme for Hyperbolic PDEs
14:45-15:15 Tea break
15:15-15:40 Yongle Liu, University of Zurich, Switzerland
A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations
15:40-16:05 Shaoshuai Chu, SUSTech, China
Local Characteristic Decomposition Based Central-Upwind Scheme
16:05-18:00 Discussion session

December 12 (Tuesday)

Time Speaker
9:00-9:45 Christophe Berthon, University of Nantes, France
Entropy Stable Godunov-Type Schemes for the Shallow Water Equations with the Topography
9:45-10:30 Tomás Morales, University of Malaga, Spain
Modeling Granular Flows in Shallow Framework
10:30-11:00 Tea break
11:00-11:45 David Ketcheson, FAUST, Saudi Arabia
Dispersive Solutions of the Shallow Water Model with Periodic Bathymetry
11:45-14:00 Lunch break
14:00-18:00 Open discussions
18:00-21:00 Conference dinner

December 13 (Wednesday)

Time Speaker
9:00-9:45 Shi Jin, Shanghai Jiao Tong University, China
Quantum Computation of Partial Differential Equations and Linear Algebra Problem
9:45-10:30 Yulong Xing, Ohio State University, USA
Discontinuous Galerkin Methods for Stochastic Maxwell Equations with Additive or Multiplicative Noise
10:30-11:00 Tea break
11:00-11:45 Yan Xu, USTC, China
Equilibrium Preserving Space in Discontinuous Galerkin Methods for Hyperbolic Balance Laws
11:45-14:00 Lunch break
14:00-14:45 Michael Herty, RWTH Aachen University, Germany
Stabilization of a Multi-Dimensional System of Hyperbolic Balance Laws
14:45-15:15 Tea break
15:15-16:00 Yong Liu, Institute of Computational Mathematics, CAS, China
An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Conservation Laws
16:00-16:25 Shumo Cui, SUSTech, China
On Optimal Cell Average Decomposition for High-Order Bound-Preserving Schemes of Hyperbolic Conservation Laws
16:25-16:50 Nikita Afanasiev , Lomonosov Moscow State University, Russia
Conservative-characteristic CABARET Scheme: Recent Developments
16:50-18:00 Discussion session

December 14 (Thursday)

Time Speaker
9:00-9:45 Raphaël Loubere, University of Bordeaux, France
Multi-dimensionally aware Entropy stable and positivity preserving Godunov-type schemes for hydrodynamics on unstructured grid
9:45-10:30 Xiangxiong Zhang, Purdue University, USA
Recent Progress on Q^k Spectral Element Method: Accuracy, Monotonicity and Applications
10:30-11:00 Tea break
11:00-11:45 Jingmei Qiu, University of Delaware, USA
Low Rank Time Integrators for Solving Time-Dependent PDEs
11:45-14:00 Lunch break
14:00-14:45 Igor Menshov, Keldych Institute of Applied Mathematics, Russia
Recent Advances in Eulerian Numerical Methods for Multiphase Flows
14:45-15:15 Tea break
15:15-16:00 Fengyan Li, Rensselaer Polytechnic Institute, USA
Efficiency Improvements in Wave and Kinetic Transport Simulations
16:00-18:00 Discussion session
18:00-21:00 Conference dinner

December 15 (Friday)

Time Speaker
9:00-9:45 Saray Busto, University of Vigo, Spain
Well-Balanced Divergence-Free Semi-Implicit Hybrid Finite Molume - Finite Element Scheme for Magnetohydrodynamics
9:45-10:30 Zhengfu Xu, Michigan Technological University, USA
Local Variation Based ENO Type Polynomial Reconstruction for High Order Finite Volume Methods
10:30-11:00 Tea break
11:00-11:45 Jianfang Lu, South China University of Technology, China
Analysis of a Class of Spectral Volume Methods for Linear Scalar Conservation Laws
11:45-14:00 Lunch break
14:00-18:00 Open discussions
18:00-21:00 Conference dinner

December 16 (Leaving)


Contact

For any inquiries about the program, please e-mail to Alexander Kurganov at alexander@sustech.edu.cn.

Organizing Committee

  • Alina Chertock (North Carolina State University, USA)
  • Alexander Kurganov (SUSTech, China)
  • Chi-Wang Shu (Brown University, USA)

    • Local Organizing Committee

  • Alexander Kurganov (SUSTech, China)
  • Kailiang Wu (SUSTech, China)
  • Shumo Cui (SUSTech, China)
  • Shaoshuai Chu (SUSTech, China)
  • Haoan Yi (SUSTech, China)
  • Lingqin Zhang (SUSTech, China)