Results 111 to 120 of about 2,183,872 (273)
Mean‐field limit of non‐exchangeable systems
Communications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 651-741, April 2025.Abstract This paper deals with the derivation of the mean‐field limit for multi‐agent systems on a large class of sparse graphs. More specifically, the case of non‐exchangeable multi‐agent systems consisting of non‐identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept ...
Pierre‐Emmanuel Jabin +2 more
wiley +1 more source
On the stability of Runge–Kutta methods for arbitrarily large systems of ODEs
Communications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 821-855, April 2025.Abstract We prove that Runge–Kutta (RK) methods for numerical integration of arbitrarily large systems of Ordinary Differential Equations are linearly stable. Standard stability arguments—based on spectral analysis, resolvent condition or strong stability, fail to secure the stability of RK methods for arbitrarily large systems.
Eitan Tadmor
wiley +1 more source
AI Safety for Physical Infrastructures: A Collaborative and Interdisciplinary Approach
Fatigue &Fracture of Engineering Materials &Structures, Volume 48, Issue 4, Page 1919-1928, April 2025.ABSTRACT Where AI systems are increasingly and rapidly impacting engineering, science, and our daily lives, progress in AI safety for physical infrastructures is lagging. Most of the research and educational programs on AI safety do not consider that, in today's connected world, safety and security in physical infrastructures are increasingly entangled.
Fariborz Farahmand, Richard W. Neu
wiley +1 more source
Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source
A New Approach to Asynchronous Variational Integrators for a Phase Field Model of Dynamic Fracture
International Journal for Numerical Methods in Engineering, Volume 126, Issue 6, 30 March 2025.ABSTRACT Phase field modeling of fracture has gained attention as a relatively simple and fundamental approach to predict crack propagation. However, the significant computational demands still pose challenges, particularly in dynamic simulations. To mitigate these challenges, we present a newly devised asynchronous variational integrator (AVI) for ...
Deepak B. Jadhav +4 more
wiley +1 more source
Stabilization for degenerate equations with drift and small singular term
Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 5086-5109, 15 March 2025.We consider a degenerate/singular wave equation in lone dimension, with drift and in presence of a leading operator that is not in divergence form. We impose a homogeneous Dirichlet boundary condition where the degeneracy occurs and a boundary damping at the other endpoint.
Genni Fragnelli +2 more
wiley +1 more source
A Non‐Intrusive, Online Reduced Order Method for Non‐Linear Micro‐Heterogeneous Materials
International Journal for Numerical Methods in Engineering, Volume 126, Issue 5, 15 March 2025.ABSTRACT In this contribution we present an adaptive model order reduction technique for non‐linear finite element computations of micro‐heterogeneous materials. The presented projection‐based method performs updates of the reduced basis during the iterative process and at the end of each load step.
Yasemin von Hoegen +2 more
wiley +1 more source
Recent Advances in Machine Learning‐Assisted Multiscale Design of Energy Materials
Advanced Energy Materials, Volume 15, Issue 9, March 4, 2025.This review highlights recent advances in machine learning (ML)‐assisted multiscale design of energy materials, currently achievable through generative structure prediction, the discovery of complex atomic structure–property relationships, accelerated prediction of diverse material and interface properties, deeper insights into microstructure effects ...
Bohayra Mortazavi
wiley +1 more source
The use of artificial intelligence in liquid crystal applications: A review
The Canadian Journal of Chemical Engineering, Volume 103, Issue 3, Page 1060-1082, March 2025.Abstract Recent advancements in artificial intelligence (AI) have significantly influenced scientific discovery and analysis, including liquid crystals. This paper reviews the use of AI in predicting the properties of liquid crystals and improving their sensing applications. Typically, liquid crystals are utilized as sensors in biomedical detection and
Sarah Chattha +2 more
wiley +1 more source
The Canadian Journal of Chemical Engineering, Volume 103, Issue 3, Page 1036-1059, March 2025.Abstract Surrogate‐based optimization has gained significant traction in several engineering fields, given its ability to handle complex systems without significant computational burdens. However, surrogate models are approximations and may have limitations, including the possibility of artificial minima.
Carine Menezes Rebello +4 more
wiley +1 more source