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Simulating the mechanical response of advanced materials can be done more accurately using concurrent multiscale models than with single-scale simulations. However, the computational costs stand in the way of the practical application of…

Machine Learning · Computer Science 2024-02-21 J. Storm , I. B. C. M. Rocha , F. P. van der Meer

Hydrogen's role is growing as an energy carrier, increasing the need for efficient production, with methane steam reforming being the most widely used technique. This process is crucial for applications like fuel cells, where hydrogen is…

Computational Engineering, Finance, and Science · Computer Science 2025-09-16 Zofia Pizoń , Shinji Kimijima , Grzegorz Brus

Loosely coupled partitioned methods for multiphysics problems treat each subproblem as a separate entity and advance them independently in time. In so doing these methods enable code reuse, increase concurrency and provide a convenient…

Computational Engineering, Finance, and Science · Computer Science 2025-07-31 Pavel Bochev , Justin Owen , Paul Kuberry , Jeffrey Connors

A surrogate model approximates the outputs of a solver of Partial Differential Equations (PDEs) with a low computational cost. In this article, we propose a method to build learning-based surrogates in the context of parameterized PDEs,…

Machine Learning · Computer Science 2024-06-28 Alejandro Ribés , Nawfal Benchekroun , Théo Delagnes

Large-scale numerical simulations underpin modern scientific discovery but remain constrained by prohibitive computational costs. AI surrogates offer acceleration, yet adoption in mission-critical settings is limited by concerns over…

Machine Learning · Computer Science 2025-09-30 Dawei Gao , Dali Wang , Zhuowei Gu , Qinglei Cao , Xiao Wang , Peter Thornton , Dan Ricciuto , Yunhe Feng

We present a hybrid sampling-surrogate approach for reducing the computational expense of uncertainty quantification in nonlinear dynamical systems. Our motivation is to enable rapid uncertainty quantification in complex mechanical systems…

Computation · Statistics 2022-01-27 Hang Yang , Yuji Fujii , K. W. Wang , Alex A. Gorodetsky

Many real-world systems are modelled using complex ordinary differential equations (ODEs). However, the dimensionality of these systems can make them challenging to analyze. Dimensionality reduction techniques like Proper Orthogonal…

Computational Engineering, Finance, and Science · Computer Science 2025-02-26 Abhishek Ajayakumar , Soumyendu Raha

The energy transition entails a rapid uptake of renewable energy sources. Besides physical changes within the grid infrastructure, energy storage devices and their smart operation are key measures to master the resulting challenges like,…

Optimization and Control · Mathematics 2019-11-13 Manuel Baumann , Sara Grundel , Philipp Sauerteig , Karl Worthmann

Simulation of complex dynamical systems arising in many applications is computationally challenging due to their size and complexity. Model order reduction, machine learning, and other types of surrogate modeling techniques offer cheaper…

Numerical Analysis · Mathematics 2026-02-11 Steven Roberts , Andrey A Popov , Arash Sarshar , Adrian Sandu

Physics simulations like computational fluid dynamics (CFD) are a computational bottleneck in computer-aided design (CAD) optimization processes. To overcome this bottleneck, one requires either an optimization framework that is highly…

Machine Learning · Computer Science 2024-08-29 Harsh Vardhan , David Hyde , Umesh Timalsina , Peter Volgyesi , Janos Sztipanovits

Modern computational methods, involving highly sophisticated mathematical formulations, enable several tasks like modeling complex physical phenomenon, predicting key properties and design optimization. The higher fidelity in these computer…

Computational Engineering, Finance, and Science · Computer Science 2023-04-13 Lele Luan , Nesar Ramachandra , Sandipp Krishnan Ravi , Anindya Bhaduri , Piyush Pandita , Prasanna Balaprakash , Mihai Anitescu , Changjie Sun , Liping Wang

The solution of partial differential equations (PDEs) plays a central role in numerous applications in science and engineering, particularly those involving multiphase flow in porous media. Complex, nonlinear systems govern these problems…

The transition of the power grid requires new technologies and methodologies, which can only be developed and tested in simulations. Especially larger simulation setups with many levels of detail can become quite slow. Therefore, the number…

Signal Processing · Electrical Eng. & Systems 2020-06-23 Stephan Balduin , Tom Westermann , Erika Puiutta

Predictive estimation, which comprises model calibration, model prediction, and validation, is a common objective when performing inverse uncertainty quantification (UQ) in diverse scientific applications. These techniques typically require…

Numerical Analysis · Mathematics 2024-07-17 Ningxin Yang , Truong Le , Lidija Zdravković , David M. Potts

Existing work on data-driven optimization focuses on problems in static environments, but little attention has been paid to problems in dynamic environments. This paper proposes a data-driven optimization algorithm to deal with the…

Neural and Evolutionary Computing · Computer Science 2020-12-29 Cuie Yang , Jinliang Ding , Yaochu Jin , Tianyou Chai

Numerical solutions of partial differential equations (PDEs) require expensive simulations, limiting their application in design optimization, model-based control, and large-scale inverse problems. Surrogate modeling techniques seek to…

Computational Physics · Physics 2022-05-18 James Duvall , Karthik Duraisamy , Shaowu Pan

Neural surrogates promise large speedups over classical solvers for physical dynamics but fail silently at sharp dynamical events such as shocks, fronts, and contact. We present hybrid neural world models for physical dynamics: a recipe for…

Machine Learning · Computer Science 2026-05-28 Pranav Lakshmanan , Paras Chopra

The entry phase constitutes a design driver for aerospace systems that include such a critical step. This phase is characterized by hypersonic flows encompassing multiscale phenomena that require advanced modeling capabilities. However,…

Recent developments of advanced driver-assistance systems necessitate an increasing number of tests to validate new technologies. These tests cannot be carried out on track in a reasonable amount of time and automotive groups rely on…

Machine Learning · Statistics 2022-12-16 Clara Carlier , Arnaud Franju , Matthieu Lerasle , Mathias Obrebski

A surrogate model that accurately predicts distribution system voltages is crucial for reliable smart grid planning and operation. This letter proposes a fixed-point data-driven surrogate modeling method that employs a limited dataset to…

Systems and Control · Electrical Eng. & Systems 2024-01-01 Hoang Tien Nguyen , Young-Jin Kim , Dae-Hyun Choi