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09/15/2023
A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation
It is increasingly realized that taking stochastic effects into account ...
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07/23/2023
Efficient numerical methods for Anisotropic Diffusion of Galactic Cosmic Rays
Anisotropic diffusion is imperative in understanding cosmic ray diffusio...
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07/14/2023
Energy stable and conservative dynamical low-rank approximation for the Su-Olson problem
Computational methods for thermal radiative transfer problems exhibit hi...
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06/30/2023
Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation
We propose a dynamical low-rank algorithm for a gyrokinetic model that i...
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05/29/2023
Suppressing Instability in a Vlasov-Poisson System by an External Electric Field Through Constrained Optimization
Fusion energy offers the potential for the generation of clean, safe, an...
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03/28/2023
Accelerating exponential integrators to efficiently solve advection-diffusion-reaction equations
In this paper we consider an approach to improve the performance of expo...
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12/22/2022
Asymptotic–preserving and energy stable dynamical low-rank approximation
Radiation transport problems are posed in a high-dimensional phase space...
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11/16/2022
Exponential methods for anisotropic diffusion
The anisotropic diffusion equation is of crucial importance in understan...
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11/16/2022
A comparison of Leja- and Krylov-based iterative schemes for Exponential Integrators
Krylov-based algorithms have long been preferred to compute the matrix e...
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08/17/2022
LeXInt: Package for Exponential Integrators employing Leja interpolation
We present a publicly available software for exponential integrators tha...
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06/19/2022
A robust and conservative dynamical low-rank algorithm
Dynamical low-rank approximation, as has been demonstrated recently, can...
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10/26/2021
Efficient 6D Vlasov simulation using the dynamical low-rank framework Ensign
Running kinetic simulations using grid-based methods is extremely expens...
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08/31/2021
Exponential Integrators for MHD: Matrix-free Leja interpolation and efficient adaptive time stepping
We propose a novel algorithm for the temporal integration of the magneto...
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07/15/2021
On the stability of robust dynamical low-rank approximations for hyperbolic problems
The dynamical low-rank approximation (DLRA) is used to treat high-dimens...
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05/10/2021
Dynamical low-rank approximation for Burgers' equation with uncertainty
Quantifying uncertainties in hyperbolic equations is a source of several...
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03/10/2021
An exponential integrator/WENO discretization for sonic-boom simulation on modern computer hardware
Recently a splitting approach has been presented for the simulation of s...
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03/02/2021
A μ-mode integrator for solving evolution equations in Kronecker form
In this paper, we propose a μ-mode integrator for computing the solution...
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02/04/2021
Efficient adaptive step size control for exponential integrators
Traditional step size controllers make the tacit assumption that the cos...
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01/29/2021
A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation
The primary challenge in solving kinetic equations, such as the Vlasov e...
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01/18/2021
An efficient dynamical low-rank algorithm for the Boltzmann-BGK equation close to the compressible viscous flow regime
It has recently been demonstrated that dynamical low-rank algorithms can...
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08/26/2020
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs
Rational exponential integrators (REXI) are a class of numerical methods...
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06/09/2020
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions
The present work proposes a second-order time splitting scheme for a lin...
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05/13/2020
An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation
We introduce a dynamical low-rank method to reduce the computational com...
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12/29/2019
Performance optimization and modeling of fine-grained irregular communication in UPC
The UPC programming language offers parallelism via logically partitione...
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10/28/2019
Exponential methods for solving hyperbolic problems with application to kinetic equations
The efficient numerical solution of many kinetic models in plasma physic...
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07/18/2019
Semi-Lagrangian Vlasov simulation on GPUs
In this paper, our goal is to efficiently solve the Vlasov equation on G...
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07/09/2019
Error analysis of an asymptotic preserving dynamical low-rank integrator for the multi-scale radiative transfer equation
Dynamical low-rank algorithm are a class of numerical methods that compu...
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03/06/2018
A comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions
The purpose of the present paper is to compare two semi-Lagrangian metho...
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03/22/2016
A mixed precision semi-Lagrangian algorithm and its performance on accelerators
In this paper we propose a mixed precision algorithm in the context of t...
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01/14/2016
Evaluation of the Partitioned Global Address Space (PGAS) model for an inviscid Euler solver
In this paper we evaluate the performance of Unified Parallel C (which i...
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11/06/2015