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Nonequilibrium Green's functions provide a powerful framework for studying quantum many-body dynamics including the laser-induced dynamics in solids. The Non-Equilibrium Systems Simulation package (NESSi) offers an efficient platform for…

This paper introduces a novel approach to solve inverse problems by leveraging deep learning techniques. The objective is to infer unknown parameters that govern a physical system based on observed data. We focus on scenarios where the…

Machine Learning · Computer Science 2023-10-02 Sidney Besnard , Frédéric Jurie , Jalal M. Fadili

First principles modeling of physical systems has led to significant technological advances across all branches of science. For nonlinear systems, however, small modeling errors can lead to significant deviations from the true, measured…

Machine Learning · Computer Science 2019-09-19 Kadierdan Kaheman , Eurika Kaiser , Benjamin Strom , J. Nathan Kutz , Steven L. Brunton

We introduce the R package nlpsem, a comprehensive toolkit for analyzing longitudinal processes within the structural equation modeling (SEM) framework, incorporating individual measurement occasions. This package emphasizes nonlinear…

Methodology · Statistics 2025-12-02 Jin Liu

This paper leverages recent advances in high derivatives reconstruction from noisy-time series and sparse multivariate polynomial identification in order to improve the process of parsimoniously identifying, from a small amount of data,…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Mazen Alamir

This article presents a multi-physics methodology for the numerical simulation of physical systems that involve the non-linear interaction of multi-phase reactive fluids and elastoplastic solids, inducing high strain-rates and high…

Computational Physics · Physics 2021-06-04 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

We discuss the design of state-of-the-art numerical methods for molecular dynamics, focusing on the demands of soft matter simulation, where the purposes include sampling and dynamics calculations both in and out of equilibrium. We discuss…

Computational Physics · Physics 2020-02-14 Xiaocheng Shang , Martin Kröger , Benedict Leimkuhler

relentless is an open-source Python package that enables the optimization of objective functions computed using molecular dynamics simulations. It has a high-level, extensible interface for model parametrization; setting up, running, and…

Soft Condensed Matter · Physics 2024-08-07 Adithya N Sreenivasan , C. Levi Petix , Zachary M. Sherman , Michael P. Howard

The computational investigation of Fermi, Pasta, Ulam, and Tsingou of arrays of nonlinearly coupled oscillators has led to a wealth of studies in nonlinear dynamics. Most studies of oscillator arrays have considered homogeneous oscillators,…

Pattern Formation and Solitons · Physics 2023-07-17 Zidu Li , Mason A. Porter , Bhaskar Choubey

We propose a novel data-driven method called QENDy (Quadratic Embedding of Nonlinear Dynamics) that not only allows us to learn quadratic representations of highly nonlinear dynamical systems, but also to identify the governing equations.…

Dynamical Systems · Mathematics 2025-09-25 Stefan Klus , Joel-Pascal Ntwali N'konzi

Accurate crowd simulation is crucial for public safety management, emergency evacuation planning, and intelligent transportation systems. However, existing methods, which typically model crowds as a collection of independent individual…

Machine Learning · Computer Science 2026-04-14 Zijin Liu , Xu Geng , Wenshuai Xu , Xiang Zhao , Yan Xia , You Song

We study a quantum particle coupled to hard-core bosons and propagating on disordered ladders with $R$ legs. The particle dynamics is studied with the help of rate equations for the boson-assisted transitions between the Anderson states. We…

Strongly Correlated Electrons · Physics 2020-10-21 M. Mierzejewski , M. Sroda , J. Herbrych , P. Prelovsek

We perform a sparse identification of nonlinear dynamics (SINDy) for low-dimensionalized complex flow phenomena. We first apply the SINDy with two regression methods, the thresholded least square algorithm (TLSA) and the adaptive Lasso…

Fluid Dynamics · Physics 2021-12-08 Kai Fukami , Takaaki Murata , Kai Zhang , Koji Fukagata

We have developed a fully parallel C++/MPI based simulation code for variable-density particle-laden turbulent flows. The fluid is represented through a uniform Eulerian staggered grid, while particles are modeled using a Lagrangian…

Computational Physics · Physics 2016-01-22 Hadi Pouransari , Milad Mortazavi , Ali Mani

BOUT++ is a 3D nonlinear finite-difference plasma simulation code, capable of solving quite general systems of PDEs, but targeted particularly on studies of the edge region of tokamak plasmas. BOUT++ is publicly available, and has been…

This paper presents a nonlinear reaction-diffusion-fluid system that simulates radiofrequency ablation within cardiac tissue. The model conveys the dynamic evolution of temperature and electric potential in both the fluid and solid regions,…

Numerical Analysis · Mathematics 2024-05-03 Mostafa Bendahmane , Youssef Ouakrim , Yassine Ouzrour , Mohamed Zagour

In this article we present PARSIR (PARallel SImulation Runner), a package that enables the effective exploitation of shared-memory multi-processor machines for running discrete event simulation models. PARSIR is a compile/run-time…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-02 Francesco Quaglia

In resent years, the software ecosystem for numerical simulation still remains fragmented, with different algorithms and discretization methods often implemented in isolation, each with distinct data structures and programming conventions.…

Numerical Analysis · Mathematics 2026-03-10 Yangyang Zheng , Huayi Wei , Yunqing Huang , Chunyu Chen , Tian Tian , Hanbin Liu , Wenbin Wang , Liang He

We present the Python Tree Tensor Network package (pyTTN) for the evaluation of dynamical properties of closed and open quantum systems that makes use of Tree Tensor Network (TTN), or equivalently the multi-layer multiconfiguration…

Quantum Physics · Physics 2025-03-20 Lachlan P Lindoy , Daniel Rodrigo-Albert , Yannic Rath , Ivan Rungger

A fast and accurate computational scheme for simulating nonlinear dynamic systems is presented. The scheme assumes that the system can be represented by a combination of components of only two different types: first-order low-pass filters…

Quantitative Methods · Quantitative Biology 2008-06-20 J. H. van Hateren
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