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We derived a number of numerical methods to treat biomolecular systems with multiple time scales. Based on the splitting of the operators associated with the slow-varying and fast-varying forces, new multiple time-stepping (MTS) methods are…

数值分析 · 数学 2015-01-15 Chao Liang , Xiaolan Yuan , Xiantao Li

Spatial multiscale methods have established themselves as useful tools for extending the length scales accessible by conventional statics (i.e., zero temperature molecular dynamics). Recently, extensions of these methods, such as the…

数值分析 · 数学 2014-09-23 Andrew Binder , Mitchell Luskin , Danny Perez , Arthur F. Voter

A multiscale numerical solver called the seamless-domain method (SDM) is used in linear heat conduction analysis of nonperiodic simulated fields. The practical feasibility of the SDM has been verified for use with periodic fields but has…

数值分析 · 数学 2019-12-18 Yoshiro Suzuki

The Ewald summation technique is generalised to power-law 1/|r|^k potentials in three-, two- and one-dimensional geometries with explicit formulae for all the components of the sums. The cases of short-range, long-range and "marginal"…

量子气体 · 物理学 2014-07-03 O. N. Osychenko , G. E. Astrakharchik , J. Boronat

Accurate free-energy calculations are essential for predicting thermodynamic properties and phase stability, but existing methods are limited: phonon-based approaches neglect anharmonicity and liquids, while molecular dynamics (MD) is…

材料科学 · 物理学 2025-11-19 Ekaterina Spirande , Timofei Miryashkin , Andrei Kolmakov , Alexander Shapeev

A method for quasistatic cohesive fracture is introduced that uses an alternating direction method of multipliers (ADMM) to implement an energy approach to cohesive fracture. The ADMM algorithm minimizes a non-smooth, non-convex potential…

数值分析 · 数学 2022-02-15 James Petrie , M. Reza Hirmand , Katerina D. Papoulia

The Stochastic Weighted Particle Method (SWPM) of Rjasanow and Wagner is a generalization of the Direct Simulation Monte Carlo method for computing the probability density function of the velocities of a system of interacting particles for…

数值分析 · 数学 2025-09-17 Matthew Goeckner , Donovan Harcey , Rainier Q Pederson , Axel Niyonzima , John Zweck

A kernel-based method (kernelized minimal distributed charge model - kMDCM) to represent the molecular electrostatic potential (ESP) in terms of off-center point charges whose positions adapts to the molecular geometry. Using Gaussian…

化学物理 · 物理学 2024-06-04 Eric Boittier , Kai Töpfer , Mike Devereux , Markus Meuwly

Composite function minimization captures a wide spectrum of applications in both computer vision and machine learning. It includes bound constrained optimization and cardinality regularized optimization as special cases. This paper proposes…

最优化与控制 · 数学 2016-12-08 Ganzhao Yuan , Wei-Shi Zheng , Bernard Ghanem

Mixture-of-Experts (MoE) scales language models efficiently through sparse expert activation, and its dynamic variant further reduces computation by adjusting the activated experts in an input-dependent manner. Existing dynamic MoE methods…

The fast Ewald methods are widely used to compute the point-charge electrostatic interactions in molecular simulations. The key step that introduces errors in the computation is the particle-mesh interpolation. In this work, the optimal…

化学物理 · 物理学 2017-10-25 Han Wang , Jun Fang , Xingyu Gao

Zero-Shot Anomaly Detection (ZSAD) aims to identify and localize anomalous regions in images of unseen object classes. While recent methods based on vision-language models like CLIP show promise, their performance is constrained by existing…

计算机视觉与模式识别 · 计算机科学 2025-11-25 Yuheng Shao , Lizhang Wang , Changhao Li , Peixian Chen , Qinyuan Liu

A Support Vector Method for multivariate performance measures was recently introduced by Joachims (2005). The underlying optimization problem is currently solved using cutting plane methods such as SVM-Perf and BMRM. One can show that these…

机器学习 · 计算机科学 2012-02-20 Xinhua Zhang , Ankan Saha , S. V. N. Vishwanatan

The spark plasma sintering (SPS) process, a key technology for advanced material manufacturing, demands accurate and efficient simulation tools to capture the complex electro-thermal-mechanical interactions inherent in powder materials.…

计算物理 · 物理学 2024-12-03 A. Kumar , Z. Zhang , M. Bambach , M. Afrasiabi

A new algorithm for efficient and fully time-reversible integration of first-principles molecular dynamics based on orbital-free density functional theory (OFDFT) is presented. The algorithm adapts to this nontrivial case the recently…

统计力学 · 物理学 2022-12-21 Alessandro Coretti , Taylor J. Baird , Rodolphe Vuilleumier , Sara Bonella

The probability distribution describing the state of a Stochastic Reaction Network evolves according to the Chemical Master Equation (CME). It is common to estimated its solution using Monte Carlo methods such as the Stochastic Simulation…

定量方法 · 定量生物学 2015-06-18 Benjamin Hepp , Ankit Gupta , Mustafa Khammash

Molecular Density Functional Theory (MDFT) offers an efficient implicit- solvent method to estimate molecule solvation free-energies whereas conserving a fully molecular representation of the solvent. Even within a second order ap-…

软凝聚态物质 · 物理学 2014-06-12 Volodymyr P. Sergiievskyi , Guillaume Jeanmairet , Maximilien Levesque , Daniel Borgis

Fast Ewald summation efficiently evaluates Coulomb interactions and is widely used in molecular dynamics simulations. It is based on a split into a short-range and a long-range part, where evaluation of the latter is accelerated using the…

数值分析 · 数学 2026-04-20 Erik Boström , Anna-Karin Tornberg , Ludvig af Klinteberg

A machine learning (ML) based equivariant neural network for constructing distributed charge models (DCMs) of arbitrary resolution, DCM-net, is presented. DCMs efficiently and accurately model the anisotropy of the molecular electrostatic…

化学物理 · 物理学 2026-02-10 Eric D. Boittier , Markus Meuwly

This paper presents a comprehensive analysis of a broad range of variations of the stochastic proximal point method (SPPM). Proximal point methods have attracted considerable interest owing to their numerical stability and robustness…

最优化与控制 · 数学 2024-05-28 Peter Richtárik , Abdurakhmon Sadiev , Yury Demidovich