Mesoscopic and multiscale modelling in materials

J Fish, GJ Wagner, S Keten - Nature materials, 2021 - nature.com
The concept of multiscale modelling has emerged over the last few decades to describe
procedures that seek to simulate continuum-scale behaviour using information gleaned from …

[HTML][HTML] Physics-informed machine learning: A comprehensive review on applications in anomaly detection and condition monitoring

Y Wu, B Sicard, SA Gadsden - Expert Systems with Applications, 2024 - Elsevier
Condition monitoring plays a vital role in ensuring the reliability and optimal performance of
various engineering systems. Traditional methods for condition monitoring rely on physics …

Learning data-driven discretizations for partial differential equations

Y Bar-Sinai, S Hoyer, J Hickey… - Proceedings of the …, 2019 - National Acad Sciences
The numerical solution of partial differential equations (PDEs) is challenging because of the
need to resolve spatiotemporal features over wide length-and timescales. Often, it is …

[KNIHA][B] Dynamic mode decomposition: data-driven modeling of complex systems

The integration of data and scientific computation is driving a paradigm shift across the
engineering, natural, and physical sciences. Indeed, there exists an unprecedented …

Interfacing finite elements with deep neural operators for fast multiscale modeling of mechanics problems

M Yin, E Zhang, Y Yu, GE Karniadakis - Computer methods in applied …, 2022 - Elsevier
Multiscale modeling is an effective approach for investigating multiphysics systems with
largely disparate size features, where models with different resolutions or heterogeneous …

Data-driven identification of parametric partial differential equations

S Rudy, A Alla, SL Brunton, JN Kutz - SIAM Journal on Applied Dynamical …, 2019 - SIAM
In this work we present a data-driven method for the discovery of parametric partial
differential equations (PDEs), thus allowing one to disambiguate between the underlying …

[HTML][HTML] Sparse learning of stochastic dynamical equations

L Boninsegna, F Nüske, C Clementi - The Journal of chemical physics, 2018 - pubs.aip.org
With the rapid increase of available data for complex systems, there is great interest in the
extraction of physically relevant information from massive datasets. Recently, a framework …

Simulating cancer growth with multiscale agent-based modeling

Z Wang, JD Butner, R Kerketta, V Cristini… - Seminars in cancer …, 2015 - Elsevier
There have been many techniques developed in recent years to in silico model a variety of
cancer behaviors. Agent-based modeling is a specific discrete-based hybrid modeling …

Partial differential equations and stochastic methods in molecular dynamics

T Lelievre, G Stoltz - Acta Numerica, 2016 - cambridge.org
The objective of molecular dynamics computations is to infer macroscopic properties of
matter from atomistic models via averages with respect to probability measures dictated by …

New Directions for Chemical Engineering

National Academies of Sciences, Engineering, and … - 2022 - osti.gov
Over the past century, the work of chemical engineers has helped transform societies and
the lives of individuals, from the synthetic fertilizers that helped feed the world to the …