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2020 – today
- 2024
[j54]Lukas Einkemmer, Qin Li
, Li Wang, Yunan Yang:
Suppressing instability in a Vlasov-Poisson system by an external electric field through constrained optimization. J. Comput. Phys. 498: 112662 (2024)- [j53]Lukas Einkemmer:
Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation. J. Comput. Phys. 501: 112757 (2024) - [j52]Lukas Einkemmer, Julian Mangott, Martina Prugger:
A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation. J. Comput. Phys. 503: 112827 (2024) - [j51]Lukas Einkemmer, Jingwei Hu, Jonas Kusch:
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation. SIAM J. Numer. Anal. 62(1): 73-92 (2024) - [j50]Lukas Einkemmer, Alexander Moriggl:
A Semi-Lagrangian Discontinuous Galerkin Method for Drift-Kinetic Simulations on GPUs. SIAM J. Sci. Comput. 46(2): 33- (2024) - [j49]Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch:
Energy Stable and Conservative Dynamical Low-Rank Approximation for the Su-Olson Problem. SIAM J. Sci. Comput. 46(2): 137- (2024) - [j48]Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann:
Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations. SIAM J. Sci. Comput. 46(2): 906- (2024) - [i48]Gianluca Ceruti, Lukas Einkemmer, Jonas Kusch, Christian Lubich:
A robust second-order low-rank BUG integrator based on the midpoint rule. CoRR abs/2402.08607 (2024) - [i47]Lukas Einkemmer, Julian Mangott, Martina Prugger:
A hierarchical dynamical low-rank algorithm for the stochastic description of large reaction networks. CoRR abs/2407.11792 (2024) - [i46]Lukas Einkemmer, Qin Li, Clément Mouhot, Yukun Yue:
Control of Instability in a Vlasov-Poisson System Through an External Electric Field. CoRR abs/2407.15008 (2024) - [i45]Lukas Einkemmer, Alexander Moriggl:
Kinetic scrape off layer simulations with semi-Lagrangian discontinuous Galerkin schemes. CoRR abs/2408.11235 (2024) - [i44]Carmela Scalone, Lukas Einkemmer, J. Kusch, R. J. McClarren:
A multi-fidelity adaptive dynamical low-rank based optimization algorithm for fission criticality problems. CoRR abs/2409.14938 (2024) - 2023
- [j47]Lukas Einkemmer, Alexander Moriggl:
Semi-Lagrangian 4d, 5d, and 6d kinetic plasma simulation on large-scale GPU-equipped supercomputers. Int. J. High Perform. Comput. Appl. 37(2): 180-196 (2023) - [j46]Lukas Einkemmer, Alexander Ostermann, Carmela Scalone:
A robust and conservative dynamical low-rank algorithm. J. Comput. Phys. 484: 112060 (2023) - [j45]Martina Prugger, Lukas Einkemmer, Carlos F. Lopez:
A dynamical low-rank approach to solve the chemical master equation for biological reaction networks. J. Comput. Phys. 489: 112250 (2023) - [j44]Jonas Kusch, Lukas Einkemmer, Gianluca Ceruti:
On the Stability of Robust Dynamical Low-Rank Approximations for Hyperbolic Problems. SIAM J. Sci. Comput. 45(1): 1- (2023) - [j43]Pranab Jyoti Deka, Lukas Einkemmer, Mayya Tokman:
LeXInt: Package for exponential integrators employing Leja interpolation. SoftwareX 21: 101302 (2023) - [i43]Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann:
Accelerating exponential integrators to efficiently solve advection-diffusion-reaction equations. CoRR abs/2303.15861 (2023) - [i42]Lukas Einkemmer, Qin Li, Li Wang, Yunan Yang:
Suppressing Instability in a Vlasov-Poisson System by an External Electric Field Through Constrained Optimization. CoRR abs/2305.17994 (2023) - [i41]Lukas Einkemmer:
Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation. CoRR abs/2306.17526 (2023) - [i40]Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch:
Energy stable and conservative dynamical low-rank approximation for the Su-Olson problem. CoRR abs/2307.07538 (2023) - [i39]Pranab Jyoti Deka, Ralf Kissmann, Lukas Einkemmer:
Efficient numerical methods for Anisotropic Diffusion of Galactic Cosmic Rays. CoRR abs/2307.12276 (2023) - [i38]Lukas Einkemmer, Julian Mangott, Martina Prugger:
A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation. CoRR abs/2309.08252 (2023) - [i37]Pranab Jyoti Deka, Alexander Moriggl, Lukas Einkemmer:
LeXInt: GPU-accelerated Exponential Integrators package. CoRR abs/2310.08344 (2023) - [i36]Lukas Einkemmer, Jonas Kusch, Steffen Schotthöfer:
Conservation properties of the augmented basis update & Galerkin integrator for kinetic problems. CoRR abs/2311.06399 (2023) - [i35]Joseph Nakao, Jing-Mei Qiu, Lukas Einkemmer:
Reduced Augmentation Implicit Low-rank (RAIL) integrators for advection-diffusion and Fokker-Planck models. CoRR abs/2311.15143 (2023) - 2022
- [j42]Pranab Jyoti Deka, Lukas Einkemmer:
Efficient adaptive step size control for exponential integrators. Comput. Math. Appl. 123: 59-74 (2022) - [j41]Fabio Cassini, Lukas Einkemmer:
Efficient 6D Vlasov simulation using the dynamical low-rank framework Ensign. Comput. Phys. Commun. 280: 108489 (2022) - [j40]Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann, Franco Zivcovich:
A μ-mode integrator for solving evolution equations in Kronecker form. J. Comput. Phys. 455: 110989 (2022) - [j39]Lukas Einkemmer, Alexander Ostermann, Mirko Residori:
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions. Numerische Mathematik 150(1): 105-135 (2022) - [i34]Lukas Einkemmer, Alexander Ostermann, Carmela Scalone:
A robust and conservative dynamical low-rank algorithm. CoRR abs/2206.09374 (2022) - [i33]Pranab Jyoti Deka, Lukas Einkemmer, Mayya Tokman:
LeXInt: Package for Exponential Integrators employing Leja interpolation. CoRR abs/2208.08269 (2022) - [i32]Pranab Jyoti Deka, Mayya Tokman, Lukas Einkemmer:
A comparison of Leja- and Krylov-based iterative schemes for Exponential Integrators. CoRR abs/2211.08948 (2022) - [i31]Pranab Jyoti Deka, Lukas Einkemmer, Ralf Kissmann, Stefan-Tiberiu Kis:
Exponential methods for anisotropic diffusion. CoRR abs/2211.08953 (2022) - [i30]Lukas Einkemmer, Jingwei Hu, Jonas Kusch:
Asymptotic-preserving and energy stable dynamical low-rank approximation. CoRR abs/2212.12012 (2022) - 2021
- [j38]Lukas Einkemmer, Alexander Ostermann, Mirko Residori:
An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware. Comput. Phys. Commun. 269: 108133 (2021) - [j37]Lukas Einkemmer, Alexander Ostermann, Mirko Residori:
A pseudo-spectral splitting method for linear dispersive problems with transparent boundary conditions. J. Comput. Appl. Math. 385: 113240 (2021) - [j36]Marco Caliari, Lukas Einkemmer, Alexander Moriggl, Alexander Ostermann:
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. J. Comput. Phys. 437: 110289 (2021) - [j35]Lukas Einkemmer, Jingwei Hu, Yubo Wang:
An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation. J. Comput. Phys. 439: 110353 (2021) - [j34]Lukas Einkemmer, Ilon Joseph:
A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation. J. Comput. Phys. 443: 110495 (2021) - [j33]Martina Prugger, Lukas Einkemmer, Samantha P. Beik, Perry T. Wasdin, Leonard A. Harris, Carlos F. Lopez:
Unsupervised logic-based mechanism inference for network-driven biological processes. PLoS Comput. Biol. 17(6) (2021) - [j32]Zhiyan Ding, Lukas Einkemmer, Qin Li:
Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit. SIAM J. Numer. Anal. 59(4): 2254-2285 (2021) - [j31]Lukas Einkemmer, Jingwei Hu, Lexing Ying:
An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime. SIAM J. Sci. Comput. 43(5): B1057-B1080 (2021) - [i29]Lukas Einkemmer, Jingwei Hu, Lexing Ying:
An efficient dynamical low-rank algorithm for the Boltzmann-BGK equation close to the compressible viscous flow regime. CoRR abs/2101.07104 (2021) - [i28]Lukas Einkemmer, Ilon Joseph:
A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation. CoRR abs/2101.12571 (2021) - [i27]Pranab Jyoti Deka, Lukas Einkemmer:
Efficient adaptive step size control for exponential integrators. CoRR abs/2102.02524 (2021) - [i26]Marco Caliari, Fabio Cassini, Lukas Einkemmer, Alexander Ostermann, Franco Zivcovich:
A μ-mode integrator for solving evolution equations in Kronecker form. CoRR abs/2103.01691 (2021) - [i25]Lukas Einkemmer, Alexander Ostermann, Mirko Residori:
An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware. CoRR abs/2103.06080 (2021) - [i24]Jonas Kusch, Gianluca Ceruti, Lukas Einkemmer, Martin Frank:
Dynamical low-rank approximation for Burgers' equation with uncertainty. CoRR abs/2105.04358 (2021) - [i23]Jonas Kusch, Lukas Einkemmer, Gianluca Ceruti:
On the stability of robust dynamical low-rank approximations for hyperbolic problems. CoRR abs/2107.07282 (2021) - [i22]Pranab Jyoti Deka, Lukas Einkemmer:
Exponential Integrators for MHD: Matrix-free Leja interpolation and efficient adaptive time stepping. CoRR abs/2108.13622 (2021) - [i21]Fabio Cassini, Lukas Einkemmer:
Efficient 6D Vlasov simulation using the dynamical low-rank framework Ensign. CoRR abs/2110.13481 (2021) - 2020
- [j30]Lukas Einkemmer:
Semi-Lagrangian Vlasov simulation on GPUs. Comput. Phys. Commun. 254: 107351 (2020) - [j29]Lukas Einkemmer, Alexander Ostermann, Chiara Piazzola:
A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction. J. Comput. Phys. 403 (2020) - [j28]Nicolas Crouseilles, Lukas Einkemmer, Josselin Massot:
Exponential methods for solving hyperbolic problems with application to collisionless kinetic equations. J. Comput. Phys. 420: 109688 (2020) - [i20]Lukas Einkemmer, Jingwei Hu, Yubo Wang:
An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation. CoRR abs/2005.06571 (2020) - [i19]Lukas Einkemmer, Alexander Ostermann, Mirko Residori:
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions. CoRR abs/2006.05170 (2020) - [i18]Marco Caliari, Lukas Einkemmer, Alexander Moriggl, Alexander Ostermann:
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs. CoRR abs/2008.11607 (2020)
2010 – 2019
- 2019
- [j27]Matthias Wiesenberger, Lukas Einkemmer, Markus Held, Albert Gutierrez-Milla, Xavier Saez, Roman Iakymchuk:
Reproducibility, accuracy and performance of the Feltor code and library on parallel computer architectures. Comput. Phys. Commun. 238: 145-156 (2019) - [j26]Lukas Einkemmer:
A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions. J. Comput. Phys. 376: 937-951 (2019) - [j25]Lukas Einkemmer:
A Low-Rank Algorithm for Weakly Compressible Flow. SIAM J. Sci. Comput. 41(5): A2795-A2814 (2019) - [j24]Lukas Einkemmer, Christian Lubich:
A Quasi-Conservative Dynamical Low-Rank Algorithm for the Vlasov Equation. SIAM J. Sci. Comput. 41(5): B1061-B1081 (2019) - [j23]Jérémie Lagravière, Johannes Langguth, Martina Prugger, Lukas Einkemmer, Phuong Hoai Ha, Xing Cai:
Performance Optimization and Modeling of Fine-Grained Irregular Communication in UPC. Sci. Program. 2019: 6825728:1-6825728:20 (2019) - [i17]Zhiyan Ding, Lukas Einkemmer, Qin Li:
Error analysis of an asymptotic preserving dynamical low-rank integrator for the multi-scale radiative transfer equation. CoRR abs/1907.04247 (2019) - [i16]Lukas Einkemmer:
Semi-Lagrangian Vlasov simulation on GPUs. CoRR abs/1907.08316 (2019) - [i15]Nicolas Crouseilles, Lukas Einkemmer, Josselin Massot:
Exponential methods for solving hyperbolic problems with application to kinetic equations. CoRR abs/1910.12720 (2019) - [i14]Jérémie Lagravière, Johannes Langguth, Martina Prugger, Lukas Einkemmer, Phuong Hoai Ha, Xing Cai:
Performance optimization and modeling of fine-grained irregular communication in UPC. CoRR abs/1912.12701 (2019) - 2018
- [j22]Lukas Einkemmer, Martina Moccaldi, Alexander Ostermann:
Efficient boundary corrected Strang splitting. Appl. Math. Comput. 332: 76-89 (2018) - [j21]Lukas Einkemmer, Alexander Ostermann:
A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation. Appl. Math. Comput. 334: 311-325 (2018) - [j20]Nicolas Crouseilles, Lukas Einkemmer, Martina Prugger:
An exponential integrator for the drift-kinetic model. Comput. Phys. Commun. 224: 144-153 (2018) - [j19]N. Auer, Lukas Einkemmer, Peter Kandolf, Alexander Ostermann:
Magnus integrators on multicore CPUs and GPUs. Comput. Phys. Commun. 228: 115-122 (2018) - [j18]Matthias Wiesenberger, Markus Held, Lukas Einkemmer, Alexander Kendl:
Streamline integration as a method for structured grid generation in X-point geometry. J. Comput. Phys. 373: 370-384 (2018) - [j17]Lukas Einkemmer, Christian Lubich:
A Low-Rank Projector-Splitting Integrator for the Vlasov-Poisson Equation. SIAM J. Sci. Comput. 40(5): B1330-B1360 (2018) - [i13]Lukas Einkemmer:
A comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions. CoRR abs/1803.02143 (2018) - 2017
- [j16]Lukas Einkemmer, Mayya Tokman, John Loffeld:
On the performance of exponential integrators for problems in magnetohydrodynamics. J. Comput. Phys. 330: 550-565 (2017) - [j15]Matthias Wiesenberger, Markus Held, Lukas Einkemmer:
Streamline integration as a method for two-dimensional elliptic grid generation. J. Comput. Phys. 340: 435-450 (2017) - [i12]N. Auer, Lukas Einkemmer, Peter Kandolf, Alexander Ostermann:
Magnus integrators on multicore CPUs and GPUs. CoRR abs/1709.06483 (2017) - 2016
- [j14]Lukas Einkemmer:
High performance computing aspects of a dimension independent semi-Lagrangian discontinuous Galerkin code. Comput. Phys. Commun. 202: 326-336 (2016) - [j13]Lukas Einkemmer:
A resistive magnetohydrodynamics solver using modern C++ and the Boost library. Comput. Phys. Commun. 206: 69-77 (2016) - [j12]Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou:
An asymptotic preserving scheme for the relativistic Vlasov-Maxwell equations in the classical limit. Comput. Phys. Commun. 209: 13-26 (2016) - [j11]Martina Prugger, Lukas Einkemmer, Alexander Ostermann:
Evaluation of the partitioned global address space (PGAS) model for an inviscid Euler solver. Parallel Comput. 60: 22-40 (2016) - [j10]Lukas Einkemmer, Alexander Ostermann:
Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 2: Oblique Boundary Conditions. SIAM J. Sci. Comput. 38(6) (2016) - [c2]Lukas Einkemmer:
A mixed precision semi-Lagrangian algorithm and its performance on accelerators. HPCS 2016: 74-80 - [i11]Lukas Einkemmer:
On the geometric properties of the semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equation. CoRR abs/1601.02280 (2016) - [i10]Martina Prugger, Lukas Einkemmer, Alexander Ostermann:
Evaluation of the Partitioned Global Address Space (PGAS) model for an inviscid Euler solver. CoRR abs/1601.03623 (2016) - [i9]Lukas Einkemmer:
A mixed precision semi-Lagrangian algorithm and its performance on accelerators. CoRR abs/1603.07008 (2016) - 2015
- [j9]Lukas Einkemmer, Alexander Ostermann:
On the error propagation of semi-Lagrange and Fourier methods for advection problems. Comput. Math. Appl. 69(3): 170-179 (2015) - [j8]Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou:
Hamiltonian splitting for the Vlasov-Maxwell equations. J. Comput. Phys. 283: 224-240 (2015) - [j7]Lukas Einkemmer, Alexander Ostermann:
A splitting approach for the Kadomtsev-Petviashvili equation. J. Comput. Phys. 299: 716-730 (2015) - [j6]Lukas Einkemmer, Alexander Ostermann:
Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 1: Dirichlet Boundary Conditions. SIAM J. Sci. Comput. 37(3) (2015) - [i8]Lukas Einkemmer:
High performance computing aspects of a dimension independent semi-Lagrangian discontinuous Galerkin code. CoRR abs/1501.05508 (2015) - [i7]Lukas Einkemmer:
Evaluation of the Intel Xeon Phi and NVIDIA K80 as accelerators for two-dimensional panel codes. CoRR abs/1511.02166 (2015) - 2014
- [j5]Lukas Einkemmer, Alexander Ostermann:
An almost symmetric Strang splitting scheme for nonlinear evolution equations. Comput. Math. Appl. 67(12): 2144-2157 (2014) - [j4]Lukas Einkemmer, Matthias Wiesenberger:
A conservative discontinuous Galerkin scheme for the 2D incompressible Navier-Stokes equations. Comput. Phys. Commun. 185(11): 2865-2873 (2014) - [j3]Lukas Einkemmer, Alexander Ostermann:
An almost symmetric Strang splitting scheme for the construction of high order composition methods. J. Comput. Appl. Math. 271: 307-318 (2014) - [j2]Lukas Einkemmer, Alexander Ostermann:
Convergence Analysis of Strang Splitting for Vlasov-Type Equations. SIAM J. Numer. Anal. 52(1): 140-155 (2014) - [j1]Lukas Einkemmer, Alexander Ostermann:
Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov-Poisson Equations. SIAM J. Numer. Anal. 52(2): 757-778 (2014) - [i6]Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou:
A Hamiltonian splitting for the Vlasov-Maxwell system. CoRR abs/1401.4477 (2014) - [i5]Lukas Einkemmer, Alexander Ostermann:
On the error propagation of semi-Lagrange and Fourier methods for advection problems. CoRR abs/1406.1933 (2014) - [i4]Lukas Einkemmer:
A modern resistive magnetohydrodynamics solver using C++ and the Boost library. CoRR abs/1407.3189 (2014) - [i3]Lukas Einkemmer, Alexander Ostermann:
A splitting approach for the Kadomtsev-Petviashvili equation. CoRR abs/1407.8154 (2014) - 2013
- [c1]Lukas Einkemmer, Alexander Ostermann:
Exponential integrators on graphic processing units. HPCS 2013: 490-496 - [i2]Lukas Einkemmer, Alexander Ostermann:
Exponential Integrators on Graphic Processing Units. CoRR abs/1309.4616 (2013) - [i1]Lukas Einkemmer, Matthias Wiesenberger:
A conservative discontinuous Galerkin scheme for the 2D incompressible Navier-Stokes equations. CoRR abs/1311.7477 (2013)
Coauthor Index
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