Lukas Einkemmer

J. Comput. Phys., March, 2024

Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation.

[BibT_eX]

[DOI]

,

Jingwei Hu

,

SIAM J. Numer. Anal., February, 2024

Suppressing instability in a Vlasov-Poisson system by an external electric field through constrained optimization.

[BibT_eX]

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,

,

,

J. Comput. Phys., February, 2024

A Semi-Lagrangian Discontinuous Galerkin Method for Drift-Kinetic Simulations on GPUs.

[BibT_eX]

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SIAM J. Sci. Comput., 2024

Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations.

[BibT_eX]

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,

,

SIAM J. Sci. Comput., 2024

Energy Stable and Conservative Dynamical Low-Rank Approximation for the Su-Olson Problem.

[BibT_eX]

[DOI]

Lena Baumann

,

,

Christian Klingenberg

,

SIAM J. Sci. Comput., 2024

A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation.

[BibT_eX]

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,

Julian Mangott

,

J. Comput. Phys., 2024

A multi-fidelity adaptive dynamical low-rank based optimization algorithm for fission criticality problems.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2024

Kinetic scrape off layer simulations with semi-Lagrangian discontinuous Galerkin schemes.

[BibT_eX]

[DOI]

,

CoRR, 2024

Control of Instability in a Vlasov-Poisson System Through an External Electric Field.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2024

A hierarchical dynamical low-rank algorithm for the stochastic description of large reaction networks.

[BibT_eX]

[DOI]

,

Julian Mangott

,

CoRR, 2024

A robust second-order low-rank BUG integrator based on the midpoint rule.

[BibT_eX]

[DOI]

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,

,

CoRR, 2024

A robust and conservative dynamical low-rank algorithm.

[BibT_eX]

[DOI]

,

,

Carmela Scalone

J. Comput. Phys., July, 2023

Semi-Lagrangian 4d, 5d, and 6d kinetic plasma simulation on large-scale GPU-equipped supercomputers.

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[DOI]

,

Int. J. High Perform. Comput. Appl., March, 2023

LeXInt: Package for exponential integrators employing Leja interpolation.

[BibT_eX]

[DOI]

,

,

Mayya Tokman

SoftwareX, February, 2023

On the Stability of Robust Dynamical Low-Rank Approximations for Hyperbolic Problems.

[BibT_eX]

[DOI]

,

,

Gianluca Ceruti

SIAM J. Sci. Comput., February, 2023

A dynamical low-rank approach to solve the chemical master equation for biological reaction networks.

[BibT_eX]

[DOI]

,

,

Carlos F. Lopez

J. Comput. Phys., 2023

Reduced Augmentation Implicit Low-rank (RAIL) integrators for advection-diffusion and Fokker-Planck models.

[BibT_eX]

[DOI]

Joseph Nakao

,

Jing-Mei Qiu

,

CoRR, 2023

Conservation properties of the augmented basis update & Galerkin integrator for kinetic problems.

[BibT_eX]

[DOI]

,

,

Steffen Schotthöfer

CoRR, 2023

LeXInt: GPU-accelerated Exponential Integrators package.

[BibT_eX]

[DOI]

,

,

CoRR, 2023

Efficient numerical methods for Anisotropic Diffusion of Galactic Cosmic Rays.

[BibT_eX]

[DOI]

,

Ralf Kissmann

,

CoRR, 2023

Accelerating exponential integrators to efficiently solve advection-diffusion-reaction equations.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2023

A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions.

[BibT_eX]

[DOI]

,

,

Mirko Residori

Numerische Mathematik, 2022

A <i>μ</i>-mode integrator for solving evolution equations in Kronecker form.

[BibT_eX]

[DOI]

,

,

,

,

J. Comput. Phys., 2022

Efficient 6D Vlasov simulation using the dynamical low-rank framework Ensign.

[BibT_eX]

[DOI]

Fabio Cassini

,

Comput. Phys. Commun., 2022

Exponential methods for anisotropic diffusion.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2022

A comparison of Leja- and Krylov-based iterative schemes for Exponential Integrators.

[BibT_eX]

[DOI]

,

Mayya Tokman

,

CoRR, 2022

Efficient adaptive step size control for exponential integrators.

[BibT_eX]

[DOI]

,

Comput. Math. Appl., 2022

An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime.

[BibT_eX]

[DOI]

,

Jingwei Hu

,

Lexing Ying

SIAM J. Sci. Comput., 2021

Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit.

[BibT_eX]

[DOI]

Zhiyan Ding

,

,

Qin Li

SIAM J. Numer. Anal., 2021

Unsupervised logic-based mechanism inference for network-driven biological processes.

[BibT_eX]

[DOI]

,

,

,

,

,

PLoS Comput. Biol., 2021

A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation.

[BibT_eX]

[DOI]

,

Ilon Joseph

J. Comput. Phys., 2021

An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation.

[BibT_eX]

[DOI]

,

Jingwei Hu

,

Yubo Wang

J. Comput. Phys., 2021

An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs.

[BibT_eX]

[DOI]

,

,

,

J. Comput. Phys., 2021

A pseudo-spectral splitting method for linear dispersive problems with transparent boundary conditions.

[BibT_eX]

[DOI]

,

,

Mirko Residori

J. Comput. Appl. Math., 2021

An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware.

[BibT_eX]

[DOI]

,

,

Mirko Residori

Comput. Phys. Commun., 2021

Exponential Integrators for MHD: Matrix-free Leja interpolation and efficient adaptive time stepping.

[BibT_eX]

[DOI]

,

CoRR, 2021

Dynamical low-rank approximation for Burgers' equation with uncertainty.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2021

A μ-mode integrator for solving evolution equations in Kronecker form.

[BibT_eX]

[DOI]

,

,

,

,

CoRR, 2021

A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction.

[BibT_eX]

[DOI]

,

,

Chiara Piazzola

J. Comput. Phys., 2020

Exponential methods for solving hyperbolic problems with application to collisionless kinetic equations.

[BibT_eX]

[DOI]

,

,

Josselin Massot

J. Comput. Phys., 2020

Semi-Lagrangian Vlasov simulation on GPUs.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2020

Performance Optimization and Modeling of Fine-Grained Irregular Communication in UPC.

[BibT_eX]

[DOI]

,

,

,

,

,

Sci. Program., 2019

A Quasi-Conservative Dynamical Low-Rank Algorithm for the Vlasov Equation.

[BibT_eX]

[DOI]

,

Christian Lubich

SIAM J. Sci. Comput., 2019

A Low-Rank Algorithm for Weakly Compressible Flow.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2019

A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions.

[BibT_eX]

[DOI]

J. Comput. Phys., 2019

Reproducibility, accuracy and performance of the Feltor code and library on parallel computer architectures.

[BibT_eX]

[DOI]

,

,

Markus Held

,

Albert Gutierrez-Milla

,

Xavier Saez

,

Roman Iakymchuk

Comput. Phys. Commun., 2019

Exponential methods for solving hyperbolic problems with application to kinetic equations.

[BibT_eX]

[DOI]

,

,

Josselin Massot

CoRR, 2019

Error analysis of an asymptotic preserving dynamical low-rank integrator for the multi-scale radiative transfer equation.

[BibT_eX]

[DOI]

Zhiyan Ding

,

,

Qin Li

CoRR, 2019

A Low-Rank Projector-Splitting Integrator for the Vlasov-Poisson Equation.

[BibT_eX]

[DOI]

,

Christian Lubich

SIAM J. Sci. Comput., 2018

Streamline integration as a method for structured grid generation in X-point geometry.

[BibT_eX]

[DOI]

,

Markus Held

,

,

Alexander Kendl

J. Comput. Phys., 2018

An exponential integrator for the drift-kinetic model.

[BibT_eX]

[DOI]

,

,

Comput. Phys. Commun., 2018

Magnus integrators on multicore CPUs and GPUs.

[BibT_eX]

[DOI]

,

,

,

Comput. Phys. Commun., 2018

A comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions.

[BibT_eX]

[DOI]

CoRR, 2018

A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation.

[BibT_eX]

[DOI]

,

Appl. Math. Comput., 2018

Efficient boundary corrected Strang splitting.

[BibT_eX]

[DOI]

,

Martina Moccaldi

,

Appl. Math. Comput., 2018

Streamline integration as a method for two-dimensional elliptic grid generation.

[BibT_eX]

[DOI]

,

Markus Held

,

J. Comput. Phys., 2017

On the performance of exponential integrators for problems in magnetohydrodynamics.

[BibT_eX]

[DOI]

,

Mayya Tokman

,

John Loffeld

J. Comput. Phys., 2017

Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 2: Oblique Boundary Conditions.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 2016

Evaluation of the partitioned global address space (PGAS) model for an inviscid Euler solver.

[BibT_eX]

[DOI]

,

,

Parallel Comput., 2016

A resistive magnetohydrodynamics solver using modern C++ and the Boost library.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2016

High performance computing aspects of a dimension independent semi-Lagrangian discontinuous Galerkin code.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2016

An asymptotic preserving scheme for the relativistic Vlasov-Maxwell equations in the classical limit.

[BibT_eX]

[DOI]

,

,

Erwan Faou

Comput. Phys. Commun., 2016

On the geometric properties of the semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equation.

[BibT_eX]

[DOI]

CoRR, 2016

Overcoming Order Reduction in Diffusion-Reaction Splitting. Part 1: Dirichlet Boundary Conditions.

[BibT_eX]

[DOI]

,

SIAM J. Sci. Comput., 2015

A splitting approach for the Kadomtsev-Petviashvili equation.

[BibT_eX]

[DOI]

,

J. Comput. Phys., 2015

Hamiltonian splitting for the Vlasov-Maxwell equations.

[BibT_eX]

[DOI]

,

,

Erwan Faou

J. Comput. Phys., 2015

Evaluation of the Intel Xeon Phi and NVIDIA K80 as accelerators for two-dimensional panel codes.

[BibT_eX]

[DOI]

CoRR, 2015

On the error propagation of semi-Lagrange and Fourier methods for advection problems.

[BibT_eX]

[DOI]

,

Comput. Math. Appl., 2015

Convergence Analysis of a Discontinuous Galerkin/Strang Splitting Approximation for the Vlasov-Poisson Equations.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2014

Convergence Analysis of Strang Splitting for Vlasov-Type Equations.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2014

An almost symmetric Strang splitting scheme for the construction of high order composition methods.

[BibT_eX]

[DOI]

,

J. Comput. Appl. Math., 2014

A conservative discontinuous Galerkin scheme for the 2D incompressible Navier-Stokes equations.

[BibT_eX]

[DOI]

,

Comput. Phys. Commun., 2014

A modern resistive magnetohydrodynamics solver using C++ and the Boost library.

[BibT_eX]

[DOI]

CoRR, 2014

A Hamiltonian splitting for the Vlasov-Maxwell system.

[BibT_eX]

[DOI]

,

,

Erwan Faou

CoRR, 2014

An almost symmetric Strang splitting scheme for nonlinear evolution equations.

[BibT_eX]

[DOI]

,