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Determining the proper level of details to develop and solve physical models is usually difficult when one encounters new engineering problems. Such difficulty comes from how to balance the time (simulation cost) and accuracy for the…

Artificial Intelligence · Computer Science 2022-02-03 Randi Wang , Morad Behandish

The design of new High Entropy Alloys that can achieve exceptional mechanical properties is presently of great interest to the materials science community. However, due to the difficulty of designing these alloys using traditional methods,…

Materials Science · Physics 2023-01-03 Arindam Debnath , Wesley F Reinhart

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

Optimization and Control · Mathematics 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

We present a combined numerical and data-driven workflow for efficient prediction of nonlinear, instationary convection-diffusion-reaction dynamics on a two-dimensional phenotypic domain, motivated by macroscopic modeling of cancer cell…

Computational Engineering, Finance, and Science · Computer Science 2026-02-02 Michael Urs Lars Kastor , Jan Rottmayer , Anna Hundertmark , Nicolas Ralph Gauger

This work presents a detailed case study on using Generative AI (GenAI) to develop AI surrogates for simulation models in fusion energy research. The scope includes the methodology, implementation, and results of using GenAI to assist in…

Active multi-fidelity surrogate modeling is developed for multi-condition airfoil shape optimization to reduce high-fidelity CFD cost while retaining RANS-level accuracy. The framework couples a low-fidelity-informed Gaussian process…

Complex engineering models are typically computationally demanding and defined by a high-dimensional parameter space challenging the comprehensive exploration of parameter effects and design optimization. To overcome this curse of…

Applications · Statistics 2024-03-01 Corey Arndt , Cody Crusenberry , Bozhi Heng , Rochelle Butler , Stephanie TerMaath

The appearance of generative models has opened vast chemical spaces in the design of functional materials. Although machine learning interatomic potentials (MLIPs) have substantially accelerated phonon calculations, high-fidelity prediction…

Modeling plays a critical role in additive manufacturing (AM), enabling a deeper understanding of underlying processes. Parametric solutions for such models are of great importance, enabling the optimization of production processes and…

Computational Engineering, Finance, and Science · Computer Science 2025-02-05 Hesameddin Safari , Henning Wessels

Optimization problems involving mixed variables (i.e., variables of numerical and categorical nature) can be challenging to solve, especially in the presence of mixed-variable constraints. Moreover, when the objective function is the result…

Optimization and Control · Mathematics 2024-12-12 Mengjia Zhu , Alberto Bemporad

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

Agent-based modeling (ABM) is a powerful computational approach for studying complex biological and biomedical systems, yet its widespread use remains limited by significant computational demands. As models become increasingly…

Quantitative Methods · Quantitative Biology 2025-04-17 Kerri-Ann Norton , Daniel Bergman , Harsh Vardhan Jain , Trachette Jackson

In this paper, we present a novel tolerance allocation algorithm for the assessment and control of geometric variation on system performance that is applicable to any system of partial differential equations. In particular, we parameterize…

Numerical Analysis · Mathematics 2019-04-16 Joseph Benzaken , Alireza Doostan , John A. Evans

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

Synthetic fuels are crucial for decarbonizing the transportation sector. A significant challenge lies in the rapid and efficient characterization of these fuels. Chemometric methods using ATR-FTIR data offer a potential alternative to…

Chemical Physics · Physics 2025-06-03 Mohammed Almomtan , Emad Al Ibrahim , Aamir Farooq

Surrogate models are used to predict the behavior of complex energy systems that are too expensive to simulate with traditional numerical methods. Our work introduces the use of language descriptions, which we call ``system captions'' or…

Machine Learning · Computer Science 2025-04-21 Patrick Emami , Zhaonan Li , Saumya Sinha , Truc Nguyen

Accurate and predictive scale-resolving simulations of laser-ignited rocket engines are highly time-consuming because the problem includes turbulent fuel-oxidizer mixing dynamics, laser-induced energy deposition, and high-speed flame…

Machine Learning · Computer Science 2026-03-10 Tony Zahtila , Ettore Saetta , Murray Cutforth , Davy Brouzet , Diego Rossinelli , Gianluca Iaccarino

There is a high interest in accelerating multiscale models using data-driven surrogate modeling techniques. Creating a large training dataset encompassing all relevant load scenarios is essential for a good surrogate, yet the computational…

Numerical Analysis · Mathematics 2025-04-24 J. Storm , W. Sun , I. B. C. M. Rocha , F. P. van der Meer

The ongoing development of quantum processors is driving breakthroughs in scientific discovery. Despite this progress, the formidable cost of fabricating large-scale quantum processors means they will remain rare for the foreseeable future,…

Quantum Physics · Physics 2025-07-24 Wei-You Liao , Yuxuan Du , Xinbiao Wang , Tian-Ci Tian , Yong Luo , Bo Du , Dacheng Tao , He-Liang Huang

Deep-learning-based surrogate models show great promise for use in geological carbon storage operations. In this work we target an important application - the history matching of storage systems characterized by a high degree of (prior)…

Computer Vision and Pattern Recognition · Computer Science 2024-02-05 Yifu Han , Francois P. Hamon , Su Jiang , Louis J. Durlofsky