Lukas Einkemmer

1. A robust second-order low-rank BUG integrator based on the midpoint rule
   2024/02/13 by Gianluca Ceruti, Ceruti, Gianluca, Lukas Einkemmer +5 · 7 citations
   Mathematics · Engineering · #Advanced Optimization Algorithms Research #Power System Optimization and Stability #Advanced Control Systems Optimization
2. Interpolatory dynamical low-rank approximation for the 3+3d Boltzmann-BGK equation
   2024/11/24 by Alec Dektor, Lukas Einkemmer, Dektor, Alec +1 · 9 citations
   Computer Science · Engineering · Mathematics · #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Image and Signal Denoising Methods #Numerical Analysis (math.NA) #Sparse and Compressive Sensing Techniques #Statistical and numerical algorithms
3. Reduced Augmentation Implicit Low-rank (RAIL) integrators for advection-diffusion and Fokker-Planck models
   2023/11/26 by Joseph Nakao, Nakao, Joseph, Jing‐Mei Qiu +3 · 5 citations
   Physics and Astronomy · Mathematics · Engineering · #Model Reduction and Neural Networks #Tensor decomposition and applications #Sparse and Compressive Sensing Techniques
4. Semi-Lagrangian 4d, 5d, and 6d kinetic plasma simulation on large scale GPU equipped supercomputer
   2021/10/27 by Lukas Einkemmer, Einkemmer, Lukas, Alexander Moriggl +1 · 3 citations
   Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Ionosphere and magnetosphere dynamics #Magnetic confinement fusion research
5. On the stability of robust dynamical low-rank approximations for hyperbolic problems
   2021/07/15 by Jonas Kusch, Kusch, Jonas, Lukas Einkemmer +3 · 3 citations
   Engineering · Mathematics · Physics and Astronomy · #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Sparse and Compressive Sensing Techniques
6. Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation
   2023/06/30 by Lukas Einkemmer, Einkemmer, Lukas · 3 citations
   Computer Science · Physics and Astronomy · #Computational Physics (physics.comp-ph) #Computational Physics and Python Applications #FOS: Mathematics #FOS: Physical sciences #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Pulsars and Gravitational Waves Research
7. A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation
   2023/09/15 by Lukas Einkemmer, Einkemmer, Lukas, Julian Mangott +3 · 2 citations
   Biochemistry, Genetics and Molecular Biology · #Advanced Fluorescence Microscopy Techniques #Biological Physics (physics.bio-ph) #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Gene Regulatory Network Analysis #Numerical Analysis (math.NA) #Single-cell and spatial transcriptomics
8. A Galerkin Alternating Projection Method for Kinetic Equations in the Diffusive Limit
   2025/05/26 by Gianluca Ceruti, Ceruti, Gianluca, Nicolas Crouseilles +3 · 3 citations
   Engineering · Mathematics · #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering #Numerical methods in inverse problems #Radiative Heat Transfer Studies
9. Should exponential integrators be used for advection-dominated problems?
   2024/10/16 by Lukas Einkemmer, T. T. H. Hoang, Einkemmer, Lukas +3 · 2 citations
   Mathematics · #65L04 #65M12 #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
10. Stabilization of beam heated plasmas by beam modulation
    2024/08/29 by Lukas Einkemmer, Einkemmer, Lukas · 2 citations
    Engineering · #FOS: Physical sciences #Metal and Thin Film Mechanics #Plasma Diagnostics and Applications #Plasma Physics (physics.plasm-ph)
11. Kinetic scrape off layer simulations with semi-Lagrangian discontinuous Galerkin schemes
    2024/08/20 by Lukas Einkemmer, Einkemmer, Lukas, Alexander Moriggl +1 · 1 citation
    Materials Science · #Textile materials and evaluations
12. A multi-fidelity adaptive dynamical low-rank based optimization algorithm for fission criticality problems
    2024/09/23 by Carmen Scalone, Scalone, C., Lukas Einkemmer +5 · 1 citation
    Engineering · Materials Science · Physics and Astronomy · #FOS: Mathematics #Nuclear Materials and Properties #Nuclear Physics and Applications #Nuclear reactor physics and engineering #Numerical Analysis (math.NA)
13. Kinetic Optimization of Magnetic Mirror Confinement: Beyond Classical Loss-Cone Theory
    2026/07/29 by Lukas Einkemmer, Martin Guerra, Qin Li +1
    Mathematics · Physics and Astronomy · #math.OC #msc:35Q93 #msc:49K20 #msc:65K10 #msc:76X05 #physics.plasm-ph