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The cellular Potts model (CPM) is a powerful computational method for simulating collective spatiotemporal dynamics of biological cells. To drive the dynamics, CPMs rely on physics-inspired Hamiltonians. However, as first principles remain…

Machine Learning · Computer Science 2025-02-05 Koen Minartz , Tim d'Hondt , Leon Hillmann , Jörn Starruß , Lutz Brusch , Vlado Menkovski

Many complex multiphysics systems in fluid dynamics involve using solvers with varied levels of approximations in different regions of the computational domain to resolve multiple spatiotemporal scales present in the flow. The accuracy of…

Computational Physics · Physics 2020-10-28 Suraj Pawar , Shady E. Ahmed , Omer San

In addressing the demands of industrial high-fidelity computation, the present study introduces a rapid and accurate customized solver developed on the OpenFOAM platform. To enhance computational efficiency, a novel integrated acceleration…

Fluid Dynamics · Physics 2023-11-28 Yinan Yang , Tsukasa Hori , Shinya Sawada , Fumiteru Akamatsu

A high-performance gas kinetic solver using multi-level parallelization is developed to enable pore-scale simulations of rarefied flows in porous media. The Boltzmann model equation is solved by the discrete velocity method with an…

Computational Physics · Physics 2017-12-05 Minh Tuan Ho , Lianhua Zhu , Lei Wu , Peng Wang , Zhaoli Guo , Zhi-Hui Li , Yonghao Zhang

An algorithm is proposed to implement unsteady jump boundary conditions, presenting discontinuity in physical quantities, within the lattice Boltzmann method (LBM). This is useful to tackle problems involving mass or heat transfer through…

Computational Physics · Physics 2018-11-06 Badr Kaoui

Many scientific applications opt for particles instead of meshes as their basic primitives to model complex systems composed of billions of discrete entities. Such applications span a diverse array of scientific domains, including molecular…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-04 Longtao Zhang , Ruoyu Li , Congrong Ren , Sheng Di , Jinyang Liu , Jiajun Huang , Robert Underwood , Pascal Grosset , Dingwen Tao , Xin Liang , Hanqi Guo , Franck Capello , Kai Zhao

The pseudopotential model within the Lattice Boltzmann Method (LBM) framework has emerged as a prominent approach in computational fluid dynamics due to its dual strengths in physical intuitiveness and computational tractability. However,…

Fluid Dynamics · Physics 2025-09-03 Yizhong Chen , Zhibin Wang

Large language models (LLMs) have demonstrated remarkable success across various application domains, but their enormous sizes and computational demands pose significant challenges for deployment on resource-constrained edge devices. To…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-20 Kai Zhang , Hengtao He , Shenghui Song , Jun Zhang , Khaled B. Letaief

In this paper, authors focus effort on improving the conventional discrete velocity method (DVM) into a multiscale scheme in finite volume framework for gas flow in all flow regimes. Unlike the typical multiscale kinetic methods unified…

Computational Physics · Physics 2020-03-24 Ruifeng Yuan , Sha Liu , Chengwen Zhong

In the infectious disease literature, significant effort has been devoted to studying dynamics at a single scale. For example, compartmental models describing population-level dynamics are often formulated using differential equations. In…

Populations and Evolution · Quantitative Biology 2025-04-16 Yuan Yin , Jennifer A. Flegg , Mark B. Flegg

We present DiSH-Sim, a simulator for large discrete models of biological signal transduction pathways, capable of simulating networks with multi-valued elements in both deterministic and stochastic manner. We focus on order of update and…

Molecular Networks · Quantitative Biology 2017-05-09 Khaled Sayed , Yu-Hsin Kuo , Anuva Kulkarni , Natasa Miskov-Zivanov

Laplacian matrices of graphs arise in large-scale computational applications such as semi-supervised machine learning; spectral clustering of images, genetic data and web pages; transportation network flows; electrical resistor circuits;…

Numerical Analysis · Mathematics 2012-06-11 Oren E. Livne , Achi Brandt

By decomposing the image formation process into a sequential application of denoising autoencoders, diffusion models (DMs) achieve state-of-the-art synthesis results on image data and beyond. Additionally, their formulation allows for a…

Computer Vision and Pattern Recognition · Computer Science 2022-04-14 Robin Rombach , Andreas Blattmann , Dominik Lorenz , Patrick Esser , Björn Ommer

Coarse-grained modeling and efficient computer simulations are critical to the study of complex molecular processes with many degrees of freedom and multiple spatiotemporal scales. Variational implicit-solvent model (VISM) for biomolecular…

Chemical Physics · Physics 2022-10-26 Shuang Liu , Zirui Zhang , Li-Tien Cheng , Bo Li

This paper addresses the overwhelming computational resources needed with standard numerical approaches to simulate architected materials. Those multiscale heterogeneous lattice structures gain intensive interest in conjunction with the…

Numerical Analysis · Mathematics 2023-08-23 Thibaut Hirschler , Robin Bouclier , Pablo Antolin , Annalisa Buffa

In systems biomedicine, an experimenter encounters different potential sources of variation in data such as individual samples, multiple experimental conditions, and multi-variable network-level responses. In multiparametric cytometry,…

Computer System Architecture serves as a crucial bridge between software applications and the underlying hardware, encompassing components like compilers, CPUs, coprocessors, and RTL designs. Its development, from early mainframes to modern…

Deep models have achieved impressive progress in solving partial differential equations (PDEs). A burgeoning paradigm is learning neural operators to approximate the input-output mappings of PDEs. While previous deep models have explored…

Machine Learning · Computer Science 2023-05-30 Haixu Wu , Tengge Hu , Huakun Luo , Jianmin Wang , Mingsheng Long

This paper addresses the problem of parallelizing computations to study non-linear dynamics in large networks of non-locally coupled oscillators using heterogeneous computing resources. The proposed approach can be applied to a variety of…

Chaotic Dynamics · Physics 2025-07-04 Oleksandr Sudakov , Volodymyr Maistrenko

Many mechanical engineering applications call for multiscale computational modeling and simulation. However, solving for complex multiscale systems remains computationally onerous due to the high dimensionality of the solution space.…

Machine Learning · Computer Science 2023-03-23 Phong C. H. Nguyen , Joseph B. Choi , H. S. Udaykumar , Stephen Baek