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We introduce a new micro-macro Markov chain Monte Carlo method (mM-MCMC) to sample invariant distributions of molecular dynamics systems that exhibit a time-scale separation between the microscopic (fast) dynamics, and the macroscopic…

数值分析 · 数学 2020-02-24 Hannes Vandecasteele , Giovanni Samaey

This paper introduces a new method for minimizing matrix-smooth non-convex objectives through the use of novel Compressed Gradient Descent (CGD) algorithms enhanced with a matrix-valued stepsize. The proposed algorithms are theoretically…

最优化与控制 · 数学 2024-04-23 Hanmin Li , Avetik Karagulyan , Peter Richtárik

Computational magnetohydrodynamics (MHD) for space physics has become an essential area in understanding the multiscale dynamics of geophysical and astrophysical plasma processes, partially motivated by the lack of space data. Full MHD…

Dimensionality reduction represents a crucial step in extracting meaningful insights from Molecular Dynamics (MD) simulations. Conventional approaches, including linear methods such as principal component analysis as well as various…

软凝聚态物质 · 物理学 2025-10-10 Georg Diez , Nele Dethloff , Gerhard Stock

To accurately study chemical reactions in the condensed phase or within enzymes, both a quantum-mechanical description and sufficient configurational sampling is required to reach converged estimates. Here, quantum mechanics/molecular…

化学物理 · 物理学 2022-10-05 Albert Hofstetter , Lennard Böselt , Sereina Riniker

We have conducted a triple-scale simulation of liquid water by concurrently coupling atomistic, mesoscopic, and continuum models of the liquid. The presented triple-scale hydrodynamic solver for molecular liquids enables the insertion of…

软凝聚态物质 · 物理学 2009-12-29 Rafael Delgado-Buscalioni , Kurt Kremer , Matej Praprotnik

When numerically solving partial differential equations, for a given problem and operating condition, adaptive mesh refinement (AMR) has proven its efficiency to automatically build a discretization achieving a prescribed accuracy at low…

We investigate multi-component metallic glass systems using a hybrid Molecular Dynamics (MD) and Variance-Constrained Semi-Grand Canonical approach. This method enables us to generate samples with properties consistent with experimental…

无序系统与神经网络 · 物理学 2025-10-10 Filip Kaskosz , Rene Alvarez-Donado , Mikko Alava , Anshul D. S. Parmar , Silvia Bonfanti

Conventional molecular dynamics (MD) simulation approaches, such as $\textit{ab initio}$ MD (AIMD) and empirical force field MD (EFFMD), face significant trade-offs between physical accuracy and computational efficiency. This work presents…

无序系统与神经网络 · 物理学 2026-05-12 Hongyu Yan , Yong Wei , Minghan Chen , Hanning Chen

In this paper, we develop a computational multiscale to solve the parabolic wave approximation with heterogeneous and variable media. Parabolic wave approximation is a technique to approximate the full wave equation. One benefit of the…

数值分析 · 数学 2021-04-07 Eric Chung , Yalchin Efendiev , Sai-Mang Pun , Zecheng Zhang

We discuss the computational performance of the adaptive resolution technique in molecular simulation when it is compared with equivalent full coarse-grained and full atomistic simulations. We show that an estimate of its efficiency, within…

计算物理 · 物理学 2017-04-26 Christoph Junghans , Animesh Agarwal , Luigi Delle Site

The emergence of new nanoporous materials, based e.g. on 2D materials, offers new avenues for water filtration and energy. There is accordingly a need to investigate the molecular mechanisms at the root of the advanced performances of these…

介观与纳米尺度物理 · 物理学 2023-07-10 Geoffrey Monet , Marie-Laure Bocquet , Lydéric Bocquet

This paper develops novel and robust central discontinuous Galerkin (CDG) schemes of arbitrarily high-order accuracy for special relativistic magnetohydrodynamics (RMHD) with a general equation of state (EOS). These schemes are provably…

数值分析 · 数学 2024-02-26 Shengrong Ding , Kailiang Wu

Molecular Dynamics - Green's Functions Reaction Dynamics (MD-GFRD) is a multiscale simulation method for particle dynamics or particle-based reaction-diffusion dynamics that is suited for systems involving low particle densities. Particles…

化学物理 · 物理学 2017-12-06 Luigi Sbailò , Frank Noé

A second-order face-centred finite volume strategy on general meshes is proposed. The method uses a mixed formulation in which a constant approximation of the unknown is computed on the faces of the mesh. Such information is then used to…

数值分析 · 数学 2020-12-01 Matteo Giacomini , Ruben Sevilla

In this paper, we study a sequential decision-making problem, called Adaptive Sampling for Discovery (ASD). Starting with a large unlabeled dataset, algorithms for ASD adaptively label the points with the goal to maximize the sum of…

机器学习 · 统计学 2023-01-04 Ziping Xu , Eunjae Shim , Ambuj Tewari , Paul Zimmerman

Hyper-parameter optimization remains as the core issue of Gaussian process (GP) for machine learning nowadays. The benchmark method using maximum likelihood (ML) estimation and gradient descent (GD) is impractical for processing big data…

机器学习 · 统计学 2019-06-10 Linning Xu , Feng Yin , Jiawei Zhang , Zhi-Quan Luo , Shuguang Cui

We describe a new algorithm for simulating complex Markoff-processes. We have used a reaction-cell method in order to simulate arbitrary reactions. It can be used for any kind of RDS on arbitrary topologies, including fractal dimensions or…

chem-ph · 物理学 2009-10-28 Thomas Fricke , Dietmar Wendt

Microscopic processes on surfaces such as adsorption, desorption, diffusion and reaction of interacting particles can be simulated using kinetic Monte Carlo (kMC) algorithms. Even though kMC methods are accurate, they are computationally…

数学物理 · 物理学 2013-12-24 Yannis Pantazis , Markos Katsoulakis

Various biological system models have been proposed in systems biology, which are based on the complex biological reactions kinetic of various components. These models are not practical because we lack of kinetic information. In this paper,…

定量方法 · 定量生物学 2011-02-19 Weidong Huang , Chundu Wu , Bingjia Xiao , Weidong Xia
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