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The sustainable utilization of lithium-ion batteries (LIBs) is crucial to the global energy transition and carbon neutrality, yet data scarcity and heterogeneity remain major barriers across remanufacturing, reusing, and recycling. This…

Machine Learning · Computer Science 2025-09-29 Shengyu Tao

Accurate error estimation is crucial in model order reduction, both to obtain small reduced-order models and to certify their accuracy when deployed in downstream applications such as digital twins. In existing a posteriori error estimation…

Numerical Analysis · Mathematics 2023-07-24 Sridhar Chellappa , Lihong Feng , Peter Benner

Dynamical low-rank approximation (DLRA) is a widely used paradigm for solving large-scale matrix differential equations, as they arise, for example, from the discretization of time-dependent partial differential equations on tensorized…

Numerical Analysis · Mathematics 2025-10-23 Benjamin Carrel , Daniel Kressner , Hei Yin Lam , Bart Vandereycken

An important objective of designing lithium-ion rechargeable battery cells is to maximize their rate performance without compromising the energy density, which is mainly achieved through computationally expensive numerical simulations at…

Materials Science · Physics 2020-05-05 Fan Wang , Ming Tang

Diagnosing the internal state of Li-ion batteries is critical for battery research, operation of real-world systems, and prognostic evaluation of remaining lifetime. By using physics-based models to perform probabilistic parameter…

Data Analysis, Statistics and Probability · Physics 2026-04-06 Malik Hassanaly , Corey R. Randall , Peter J. Weddle , Paul J. Gasper , Conlain Kelly , Tanvir R. Tanim , Kandler Smith

Efficient accelerator modeling and particle tracking are key for the design and configuration of modern particle accelerators. In this work, we present JuTrack, a nested accelerator modeling package developed in the Julia programming…

Accelerator Physics · Physics 2024-12-30 Jinyu Wan , Helena Alamprese , Christian Ratcliff , Ji Qiang , Yue Hao

To further improve Lithium-ion batteries (LiBs), a profound understanding of complex battery processes is crucial. Physical models offer understanding but are difficult to validate and parameterize. Therefore, automated machine-learning…

Chemical Physics · Physics 2024-10-28 Micha C. J. Philipp , Yannick Kuhn , Arnulf Latz , Birger Horstmann

Transferring policies learned in simulation to the real world is a promising strategy for acquiring robot skills at scale. However, sim-to-real approaches typically rely on manual design and tuning of the task reward function as well as the…

The numerical treatment of fluid-particle systems is a very challenging problem because of the complex coupling phenomena occurring between the two phases. Although accurate mathematical modelling is available to address this kind of…

Numerical Analysis · Mathematics 2024-03-22 Arash Hajisharifi , Rahul Halder , Michele Girfoglio , Andrea Beccari , Domenico Bonanni , Gianluigi Rozza

In robotics, simulation has the potential to reduce design time and costs, and lead to a more robust engineered solution and a safer development process. However, the use of simulators is predicated on the availability of good models. This…

Robotics · Computer Science 2023-05-12 Huzaifa Mustafa Unjhawala , Ruochun Zhang , Wei Hu , Jinlong Wu , Radu Serban , Dan Negrut

Batteries degrade with usage and continuous cycling. This aging is typically reflected through the resistance growth and the capacity fade of battery cells. Over the years, various charging methods have been presented in the literature that…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Shanthan Kumar Padisala , Bharatkumar Hegde , Ibrahim Haskara , Satadru Dey

Capacity degradation of lithium-ion batteries under long-term cyclic aging is modelled via a flexible sigmoidal-type regression set-up, where the regression parameters can be interpreted. Different approaches known from the literature are…

Applications · Statistics 2019-07-31 Marcus Johnen , Simon Pitzen , Udo Kamps , Maria Kateri , Dirk Uwe Sauer

In this paper we study arbitrarily high-order energy-conserving methods for simulating the dynamics of a charged particle. They are derived and studied within the framework of Line Integral Methods (LIMs), previously used for defining…

Numerical Analysis · Mathematics 2019-10-17 L. Brugnano , J. I. Montijano , L. Rández

We present a finite element semi-discrete error analysis for the Doyle-Fuller-Newman model, which is the most popular model for lithium-ion batteries. Central to our approach is a novel projection operator designed for the…

Numerical Analysis · Mathematics 2025-07-09 Shu Xu , Liqun Cao

In a multiscale modeling approach, we present computer simulation results for a rectifying bipolar nanopore on two modeling levels. In an all-atom model, we use explicit water to simulate ion transport directly with the molecular dynamics…

Mesoscale and Nanoscale Physics · Physics 2018-03-13 Zoltán Ható , Mónika Valiskó , Tamás Kristóf , Dirk Gillespie , Dezső Boda

Electrolytes play a critical role in designing next-generation battery systems, by allowing efficient ion transfer, preventing charge transfer, and stabilizing electrode-electrolyte interfaces. In this work, we develop a differentiable…

Reduced Order Modelling (ROM) has been widely used to create lower order, computationally inexpensive representations of higher-order dynamical systems. Using these representations, ROMs can efficiently model flow fields while using…

Fluid Dynamics · Physics 2021-10-13 Pranshu Pant , Ruchit Doshi , Pranav Bahl , Amir Barati Farimani

The optimization of the electrodes manufacturing process constitutes one of the most critical steps to ensure high-quality Lithium-Ion Battery (LIB) cells, in particular for automotive applications. Because LIB electrode manufacturing is a…

Electrochemical and equivalent-circuit modelling are the two most popular approaches to battery simulation, but the former is computationally expensive and the latter provides limited physical insight. A theoretical middle ground would be…

Chemical Physics · Physics 2020-06-05 Valentin Sulzer , S. Jon Chapman , Colin P. Please , David A. Howey , Charles W. Monroe

Battery models generally fall into two categories: physics-based models and ECM models. Physics-based Doyle-Fuller-Newman (DFN) models can accurately simulate the battery internal electrochemical processes, but to properly account for…

Applied Physics · Physics 2026-05-20 Han Yuan , Shen Li , Tao Zhu , Simon O'Kane , Carlos Garcia , Gregory Offer , Monica Marinescu
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