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We propose a novel method for fast and scalable evaluation of periodic solutions of systems of ordinary differential equations for a given set of parameter values and initial conditions. The equations governing the system dynamics are…

Dynamical Systems · Mathematics 2016-05-30 I. Yu. Tyukin , A. N. Gorban , T. A. Tyukina , J. Al Ameri , Yu. A. Korablev

This paper presents an evaluation of the wave function coefficients for conformally coupled scalars at both one and two-loop levels at leading order in the coupling constant, in momentum space. We take cues from time-dependent interactions…

High Energy Physics - Theory · Physics 2025-03-06 Chandramouli Chowdhury , Kajal Singh

We present an efficient approach for simulating Coulomb systems confined by planar polarizable surfaces. The method is based on the solution of Poisson equation using periodic Green functions. It is shown that the electrostatic energy…

Soft Condensed Matter · Physics 2017-12-12 Alexandre P. dos Santos , Matheus Girotto , Yan Levin

A phase field method is used to computationally study conducting channel morphology of resistive switching thin film structures. Our approach successfully predicts the formation of conducting channels in typical dielectric thin film…

Applied Physics · Physics 2023-08-22 John F. Sevic , Nobuhiko P. Kobayashi

Phase field simulations play a key role in the understanding of microstructure evolution in additive manufacturing. However, they have been found extremely computationally expensive. One of the reasons is the small time step requirement to…

Computational Physics · Physics 2025-08-01 Chaoqian Yuan , Chinnapat Panwisawas , Ye Lu

We study the dynamics of parallel tempering simulations, also known as the replica exchange technique, which has become the method of choice for simulation of proteins and other complex systems. Recent results for the optimal choice of the…

Statistical Mechanics · Physics 2009-11-13 Walter Nadler , Ulrich H. E. Hansmann

In this work a new generalization of the theory of coupled modes for non-periodic structured waveguide is presented. Based on a set of eigen waves of a homogeneous periodic waveguide, a new basis of vector functions is introduced that takes…

Accelerator Physics · Physics 2023-09-13 M. I. Ayzatsky

A computer simulation has to be fast to be helpful, if it is employed to study the behavior of a multicomponent dynamic system. This paper discusses modeling concepts and algorithmic techniques useful for creating such fast simulations.…

Data Structures and Algorithms · Computer Science 2007-05-23 Boris D. Lubachevsky

Recurrence plots exhibit line structures which represent typical behaviour of the investigated system. The local slope of these line structures is connected with a specific transformation of the time scales of different segments of the…

Chaotic Dynamics · Physics 2007-05-23 Norbert Marwan , Juergen Kurths

We propose an efficient numerical approach to simulate the boundary local time of reflected Brownian motion, as well as the time and position of the associated reaction event on a smooth boundary of a Euclidean domain. This approach…

Computational Physics · Physics 2025-07-15 Yilin Ye , Adrien Chaigneau , Denis S. Grebenkov

Statistical models for describing the probability distribution over the states of biological systems are commonly used for dimensional reduction. Among these models, pairwise models are very attractive in part because they can be fit using…

Quantitative Methods · Quantitative Biology 2009-11-30 Yasser Roudi , Erik Aurell , John Hertz

In this paper, phase field models are developed for multi-component vesicle membranes with different lipid compositions and membranes with free boundary. These models are used to simulate the deformation of membranes under the elastic…

Biological Physics · Physics 2007-05-23 Xiaoqiang Wang , Qiang Du

We demonstrate the appearance of unexpected reflection resonances in corrugated dielectric waveguides. These are due to the curvature of the boundary. The effect is as strong as the ordinary Bragg resonances, and reduces the transmission…

Optics · Physics 2015-11-04 Otto Dietz , Günter Kewes , Oliver Neitzke , Oliver Benson

All simulation approaches eventually face limits in computational scalability when applied to large spatiotemporal domains. This challenge becomes especially apparent in molecular-level particle simulations, where high spatial and temporal…

Computational Physics · Physics 2025-10-23 Matthias Busch , Gregor Häfner , Jiayu Xie , Marius Tacke , Marcus Müller , Christian J. Cyron , Roland C. Aydin

A generalization of the $t-J$ model in a system of two coupled chains or planes is studied by numerical diagonalization of small clusters. In particular, the effect of density fluctuations between these one- or two-dimensional coupled…

Condensed Matter · Physics 2009-10-22 Jose A. Riera

Systematic and automatic calculations of the electronic band structure are a crucial component of computationally-driven high-throughput materials screening. An algorithm, for any crystal, to derive a unique description of the crystal…

Materials Science · Physics 2023-04-24 Yoyo Hinuma , Giovanni Pizzi , Yu Kumagai , Fumiyasu Oba , Isao Tanaka

Coupling is a widely used technique in the theoretical study of interacting stochastic processes. In this paper I present an example demonstrating its usefulness also in the efficient computer simulation of such processes. I first describe…

Populations and Evolution · Quantitative Biology 2012-04-16 Ilmari Karonen

Reservoir simulations for subsurface processes play an important role in successful deployment of geoscience applications such as geothermal energy extraction and geo-storage of fluids. These simulators provide time-laps dynamics of the…

Geophysics · Physics 2023-09-01 Johno van IJsseldijk , Hadi Hajibeygi , Kees Wapenaar

This paper presents a novel method for evaluating second-order consistent hydrodynamic loads, which employs nonlinear wave and body kinematics. The pseudo-spectral formulation of nonlinear potential flow wave solvers is exploited,…

This paper proposes a numerical method for solving time-dependent Schrodinger equations with finite spectral bandwidth, which applies to both periodic and non-periodic cases. We introduce the concept of Pulse Width Modulation (PWM), which…

Quantum Physics · Physics 2022-09-23 Qi-Ming Chen , Re-Bing Wu