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We propose an unsupervised machine-learning checkpoint-restart (CR) lossy algorithm for particle-in-cell (PIC) algorithms using Gaussian mixtures (GM). The algorithm features a particle compression stage and a particle reconstruction stage,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-31 Guangye Chen , Luis Chacón , Truong B. Nguyen

Linear transformations are cornerstone operations utilized in modern computing, but are computationally expensive on current electronic platforms. Optical computing has been positioned as a new computing solution, promising high speed and…

Optics · Physics 2025-12-29 Kevin Zelaya , Jonathan Friedman , Mohammad-Ali Miri

The Energy Conserving semi-implicit method (ECsim), presented by Lapenta in 2017, is a Particle in Cell (PIC) algorithm for the simulation of plasmas. Energy conservation is achieved within a semi-implicit formulation that does not require…

Plasma Physics · Physics 2023-01-24 Giovanni Lapenta

This work introduces an Adaptive Mesh Refinement (AMR) strategy for the topology optimization of structures made of discrete geometric components using the geometry projection method. Practical structures made of geometric shapes such as…

Optimization and Control · Mathematics 2020-04-22 Shanglong Zhang , Arun L. Gain , Julian A. Norato

This paper presents a recently developed particle simulation code package PIFE-PIC, which is a novel three-dimensional (3-D) Parallel Immersed-Finite-Element (IFE) Particle-in-Cell (PIC) simulation model for particle simulations of…

Mathematical Software · Computer Science 2020-11-23 Daoru Han , Xiaoming He , David Lund , Xu Zhang

The particle-in-cell (PIC) method is widely used to model the self-consistent interaction between discrete particles and electromagnetic fields. It has been successfully applied to problems across plasma physics including plasma based…

Numerical simulations of two-phase flow and fluid structure interaction problems are of great interest in many environmental problems and engineering applications. To capture the complex physical processes involved in these problems, a high…

Fluid Dynamics · Physics 2023-06-02 Yadong Zeng

GPUs and other accelerators are increasingly used for scientific computing. In the future, we want to add GPU support to parallel adaptive mesh refinement (AMR) codes written in Fortran. To understand which changes are necessary to obtain…

This paper presents a parallel and fully conservative adaptive mesh refinement (AMR) implementation of a finite-volume-based kinetic solver for compressible flows. Time-dependent H-type refinement is combined with a two-population…

Fluid Dynamics · Physics 2025-04-08 Ruben M. Strässle , S. A. Hosseini , I. V. Karlin

The numerical approximation of partial differential equations (PDEs) using neural networks has seen significant advancements through Physics-Informed Neural Networks (PINNs). Despite their straightforward optimization framework and…

Machine Learning · Computer Science 2025-03-19 Namgyu Kang , Jaemin Oh , Youngjoon Hong , Eunbyung Park

In this paper we present an adaptive discretization technique for solving elliptic partial differential equations via a collocation radial basis function partition of unity method. In particular, we propose a new adaptive scheme based on…

Numerical Analysis · Mathematics 2018-11-13 R. Cavoretto , A. De Rossi

A new method for synthesizing Single-Bit Reconfigurable Passive Electromagnetic Skins (1RP-EMSs) featuring advanced beam shaping capabilities is proposed. By using single-bit unit cells, the multi-scale problem of controlling 1RP-EMSs is…

Signal Processing · Electrical Eng. & Systems 2022-11-23 G. Oliveri , P. Rocca , M. Salucci , D. Erricolo , A. Massa

Adaptive mesh refinement (AMR) is widely used to efficiently resolve localized features in time-dependent partial differential equations (PDEs) by selectively refining and coarsening the mesh. However, in long-horizon simulations, repeated…

Numerical Analysis · Mathematics 2026-02-10 Kumar Saurabh , Makrand A. Khanwale , Masado Ishii , Hari Sundar , Baskar Ganapathysubramanian

Programmable photonic integrated circuits (PPICs) offer a versatile platform for implementing diverse optical functions on a generic hardware mesh. However, the scalability of PPICs faces critical power consumption barriers. Therefore, we…

Optics · Physics 2026-01-13 Ran Tao , Jifang Qiu , Zhimeng Liu , Hongxiang Guo , Yan Li , Jian Wu

In this work we consider a relativistic drift-kinetic model for runaway electrons along with a Fokker-Planck operator for small-angle Coulomb collisions, a radiation damping operator, and a secondary knock-on (Boltzmann) collision source.…

Numerical Analysis · Mathematics 2024-03-22 Johann Rudi , Max Heldman , Emil M. Constantinescu , Qi Tang , Xian-Zhu Tang

Gravitational instabilities naturally give rise to multi-scale structure, which is difficult for traditional Eulerian hydrodynamic methods to accurately evolve. This can be circumvented by adaptively adding resolution (in the form of…

Astrophysics · Physics 2007-05-23 G. L. Bryan , M. L. Norman

We extend the recently developed entropic and conservative variance reduction framework [M. Sadr, N. G. Hadjiconstantinou, A variance-reduced direct Monte Carlo simulation method for solving the Boltzmann equation over a wide range of…

Computational Physics · Physics 2026-02-18 Victor Windhab , Andreas Adelmann , Mohsen Sadr

The implicit 2D3V particle-in-cell (PIC) code developed to study the interaction of ultrashort pulse lasers with matter [G. M. Petrov and J. Davis, Computer Phys. Comm. 179, 868 (2008); Phys. Plasmas 18, 073102 (2011)] has been parallelized…

Plasma Physics · Physics 2016-08-24 George M. Petrov , Jack Davis

Accurate electrochemical models are essential for the safe and efficient operation of lithium-ion batteries in real-world applications such as electrified vehicles and grid storage. Reduced-order models (ROM) offer a balance between…

Systems and Control · Electrical Eng. & Systems 2025-07-02 Samuel Filgueira da Silva , Mehmet Fatih Ozkan , Faissal El Idrissi , Marcello Canova

Computational studies that use block-structured adaptive mesh refinement (AMR) approaches suffer from unnecessarily high mesh resolution in regions adjacent to important solution features. This deficiency limits the performance of AMR…

Computational Physics · Physics 2022-03-02 Brandon Gusto , Tomasz Plewa