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The kernel-free boundary integral (KFBI) method has successfully solved partial differential equations (PDEs) on irregular domains. Diverging from traditional boundary integral methods, the computation of boundary integrals in KFBI is…

Numerical Analysis · Mathematics 2024-04-24 Liwei Tan , Minsheng Huang , Wenjun Ying

The Non-Equilibrium Green Function (NEGF) method was established in the 1960's through the classic work of Schwinger, Kadanoff, Baym, Keldysh and others using many-body perturbation theory (MBPT) and the diagrammatic theory for…

Mesoscale and Nanoscale Physics · Physics 2022-11-24 Kerem Y. Camsari , Shuvro Chowdhury , Supriyo Datta

We apply the non-equilibrium Green function (NEGF) method to microscopically evaluate fission cross sections for the neutron induced $^{235}$U$(n,f)$ reaction. While the model space was restricted only to seniority zero configurations in…

Nuclear Theory · Physics 2025-08-04 K. Uzawa , K. Hagino

The nonequilibrium Green's function (NEGF) formalism is a powerful tool to study the nonequilibrium dynamics of correlated lattice systems, but its applicability to realistic system sizes and long timescales is limited by unfavorable memory…

Strongly Correlated Electrons · Physics 2025-09-29 Maksymilian Środa , Ken Inayoshi , Michael Schüler , Hiroshi Shinaoka , Philipp Werner

This paper presents a methodology for simultaneous heterogeneous computing, named ENEAC, where a quad core ARM Cortex-A53 CPU works in tandem with a preprogrammed on-board FPGA accelerator. A heterogeneous scheduler distributes the tasks…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-16 Kris Nikov , Mohammad Hosseinabady , Rafael Asenjo , Andrés Rodríguezz , Angeles Navarro , Jose Nunez-Yanez

We present an efficient implementation for running three-dimensional numerical simulations of fluid-structure interaction problems on single GPUs, based on Nvidia CUDA through Numba and Python. The incompressible flow around moving bodies…

Fluid Dynamics · Physics 2024-12-05 M. Guerrero-Hurtado , J. M. Catalán , M. Moriche , A. Gonzalo , O. Flores

Simulations of interacting electrons and bosons out of equilibrium, starting from first principles and aiming at realistic multiscale scenarios, is a grand theoretical challenge. Here, using the formalism of nonequilibrium Green's functions…

Strongly Correlated Electrons · Physics 2022-04-06 Yaroslav Pavlyukh , Enrico Perfetto , Daniel Karlsson , Robert van Leeuwen , Gianluca Stefanucci

In this work we present a numerical method to solve the set of Dyson-like equations arising the context of non-equilibrium Green's functions. The technique is based on the self-consistent solution of the Dyson equations for the interacting…

Strongly Correlated Electrons · Physics 2019-09-04 N. W. Talarico , S. Maniscalco , N. Lo Gullo

This paper presents a porting of {DG-SWEM}, a first-order discontinuous Galerkin solver for storm surge based on the Advanced Circulation Model (ADCIRC), to NVIDIA GPUs. Time-explicit discontinuous Galerkin methods contain a large number of…

Computational Physics · Physics 2025-09-23 Chayanon Wichitrnithed , Eirik Valseth , Ethan J. Kubatko , Shintaro Bunya , Clint Dawson

A new implementation of many-body calculations is of paramount importance in the field of computational physics. In this study, we leverage the capabilities of Field Programmable Gate Arrays (FPGAs) for conducting quantum many-body…

Strongly Correlated Electrons · Physics 2025-04-17 Songtai Lv , Yang Liang , Yuchen Meng , Xiaochen Yao , Jincheng Xu , Yang Liu , Qibin Zheng , Haiyuan Zou

Heterogeneous systems are becoming more common on High Performance Computing (HPC) systems. Even using tools like CUDA and OpenCL it is a non-trivial task to obtain optimal performance on the GPU. Approaches to simplifying this task include…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-01-11 Marek Blazewicz , Steven R. Brandt , Peter Diener , David M. Koppelman , Krzysztof Kurowski , Frank Löffler , Erik Schnetter , Jian Tao

The predominance of Kohn-Sham density functional theory (KS-DFT) for the theoretical treatment of large experimentally relevant systems in molecular chemistry and materials science relies primarily on the existence of efficient software…

Computational Physics · Physics 2020-07-08 David B. Williams-Young , Wibe A. de Jong , Hubertus J. J. van Dam , Chao Yang

We describe an open source GPU implementation of a hybrid symplectic N-body integrator, GENGA (Gravitational ENcounters with Gpu Acceleration), designed to integrate planet and planetesimal dynamics in the late stage of planet formation and…

Earth and Planetary Astrophysics · Physics 2014-11-06 Simon L. Grimm , Joachim G. Stadel

One of the challenges in diagrammatic simulations of nonequilibrium phenomena in lattice models is the large memory demand for storing momentum-dependent two-time correlation functions. This problem can be overcome with the recently…

Strongly Correlated Electrons · Physics 2025-10-23 Maksymilian Środa , Ken Inayoshi , Hiroshi Shinaoka , Philipp Werner

Numerical integration of stochastic differential equations is commonly used in many branches of science. In this paper we present how to accelerate this kind of numerical calculations with popular NVIDIA Graphics Processing Units using the…

Computational Physics · Physics 2011-05-31 M. Januszewski , M. Kostur

The great success of Physics-Informed Neural Networks (PINN) in solving partial differential equations (PDEs) has significantly advanced our simulation and understanding of complex physical systems in science and engineering. However, many…

Numerical Analysis · Mathematics 2024-09-10 Hao Zhang , Longxiang Jiang , Xinkun Chu , Yong Wen , Luxiong Li , Yonghao Xiao , Liyuan Wang

The performance potential for simulating quantum electron transport on graphical processing units (GPUs) is studied. Using graphene ribbons of realistic sizes as an example it is shown that GPUs provide significant speed-ups in comparison…

Computational Physics · Physics 2012-06-22 S. Ihnatsenka

In this study, we address the challenge of obtaining a Green's function operator for linear partial differential equations (PDEs). The Green's function is well-sought after due to its ability to directly map inputs to solutions, bypassing…

Computational Engineering, Finance, and Science · Computer Science 2023-06-06 Rixi Peng , Juncheng Dong , Jordan Malof , Willie J. Padilla , Vahid Tarokh

Realistic reservoir simulation is known to be prohibitively expensive in terms of computation time when increasing the accuracy of the simulation or by enlarging the model grid size. One method to address this issue is to parallelize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-14 Tong Dong Qiu , Andreas Thune , Vinicius Oliveira Martins , Markus Blatt , Alf Birger Rustad , Razvan Nane

As a first approximation beyond linearity, the nonlinear Schr\"odinger equation (NLSE) reliably describes a broad class of physical systems. Though numerical solutions of this model are well-established, these methods can be computationally…

Quantum Gases · Physics 2022-03-25 Benjamin D. Smith , Logan W. Cooke , Lindsay J. LeBlanc
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