24 citations · 54 across the 8 of their papers we have counts for
9 papers
LeXInt: GPU-accelerated Exponential Integrators package
Pranab J Deka, Alexander Moriggl, Lukas Einkemmer
We present an open-source CUDA-based package that consists of a compilation of exponential integrators where the action of the matrix exponential or the functions on a vector…
Efficient numerical methods for Anisotropic Diffusion of Galactic Cosmic Rays
Pranab J. Deka, Ralf Kissmann, Lukas Einkemmer
Anisotropic diffusion is imperative in understanding cosmic ray diffusion across the Galaxy, the heliosphere, and the interplay of cosmic rays with the Galactic magnetic field. Thi…
Exponential methods for anisotropic diffusion
Pranab J. Deka, Lukas Einkemmer, Ralf Kissmann
The anisotropic diffusion equation is imperative in understanding cosmic ray diffusion across the Galaxy, the heliosphere, and its interplay with the ambient magnetic field. This d…
A comparison of Leja- and Krylov-based iterative schemes for Exponential Integrators
Pranab J. Deka, Mayya Tokman, Lukas Einkemmer
Krylov-based algorithms have long been preferred to compute the matrix exponential and exponential-like functions appearing in exponential integrators. Of late, direct polynomial i…
LeXInt: Package for Exponential Integrators employing Leja interpolation
Pranab J. Deka, Lukas Einkemmer, Mayya Tokman
We present a publicly available software for exponential integrators that computes the functions using polynomial interpolation. The interpolation method at Leja points ha…
Exponential Integrators for Resistive Magnetohydrodynamics: Matrix-free Leja Interpolation and Efficient Adaptive Time Stepping
Pranab Deka, Lukas Einkemmer
We propose a novel algorithm for the temporal integration of the resistive magnetohydrodynamics (MHD) equations. The approach is based on exponential Rosenbrock schemes in combinat…
Efficient adaptive step size control for exponential integrators
Pranab Jyoti Deka, Lukas Einkemmer
Traditional step size controllers make the tacit assumption that the cost of a time step is independent of the step size. This is reasonable for explicit and implicit integrators t…
Revisit of non-linear Landau damping for electrostatic instability driven by blazar-induced pair beams
S. Vafin, P. J. Deka, M. Pohl +1
We revisit the effect of non-linear Landau (NL) damping on the electrostatic instability of blazar-induced pair beams, using a realistic pair-beam distribution. We employ a simplif…
NAIR: Novel Astronomical Instrumentation through photonic Reformatting
Robert J. Harris, Jan Tepper, John J. Davenport +11
The project "Novel Astronomical Instrumentation through photonic Reformatting" is a DFG-funded collaboration to exploit the recognized potential of photonics solutions for a radica…