Joshua Lampert

Since October 2023, I am a PhD student within the Research Training Group 2583 “Modeling, Simulation and Optimization of Fluid Dynamics Applications”, in the project S1, under supervision of Prof. Dr. Armin Iske.

Link to the personal webpage from the RTG2583

Link to GitHub profile

• Theory of and numerical methods for hyperbolic conservation laws
• Kernel-based meshfree methods for partial differential equations
• Numerical analysis of finite volume and discontinuous Galerkin methods
• Structure-preserving discretization
• Summation-by-parts operators
• Dispersive wave equations

02.-04.04.2025
CSE Workshop on Modeling, Simulation & Optimization of Fluid Dynamic Applications, Neumünster (GER), "Challenges and opportunities of using summation-by-parts operators with radial basis functions"

14.-16.01.2025
International Conference on numerical mathematics and scientific computing on the 65th Anniversary of the journal BIT, Uppsala (SWE), "Efficient construction of multidimensional radial basis function summation-by-parts operators"

04.09.2024
Colloquium on Applied Mathematics, TUHH, Hamburg (GER), "Multidimensional function space summation-by-parts operators with application to radial basis functions"

03.-07.06.2024
9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS) 2024, Lisbon (PT), "Entropy-Stable Numerical Methods for Systems of Nonlinear Dispersive Wave Equations"

18.-22.03.2024
94th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) 2024, Magdeburg (GER), "Structure-Preserving Numerical Methods for Nonlinear Dispersive Wave Equations"

11.-13.03.2024
CSE Workshop on Modeling, Simulation & Optimization of Fluid Dynamic Applications 2024, Groß Schwansee (GER), "Structure-Preserving Numerical Methods for Nonlinear Dispersive Wave Equations"

16.-18.10.2023
Kompaktseminar Numerik 2023, Cochem (GER): "Structure-Preserving Numerical Methods for Dispersive Shallow Water Models"

Bartel, H., Lampert, J., Ranocha, H.: "Structure-preserving numerical methods for Fokker-Planck equations", Proceedings in Applied Mathematics and Mechanics, 24, DOI: 10.1002/pamm.202400007, arXiv:2404.07641, 2024.

Lampert, J., Ranocha, H.: "Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations", preprint arXiv:2402.16669, 2024.

• Wintersemester 2023/24: Numerische Mathematik (Exercise)
• Sommersemester 2023: Numerical Methods for PDEs – Galerkin Methods (Exercise)