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In this work, we present a machine learning approach for reducing the error when numerically solving time-dependent partial differential equations (PDE). We use a fully convolutional LSTM network to exploit the spatiotemporal dynamics of…

Machine Learning · Computer Science 2020-02-11 Ben Stevens , Tim Colonius

The most popular methods for self-consistent simulation of fields interacting with charged species is using finite difference time domain (FDTD) methods together with Newton's laws of motion to evolve locations and velocities of particles.…

Computational Physics · Physics 2022-04-29 Zane D. Crawford , O. H. Ramachandran , Scott O'Connor , Daniel L. Dault , John Luginsland , B. Shanker

Computational Fluid Dynamics (CFD) is an important approach for analyzing flow phenomena and predicting engineering-relevant quantities. The governing physics is formulated as partial differential equations(PDEs) and solved numerically on…

Fluid Dynamics · Physics 2026-05-14 Yali Luo , Yiye Zou , Heng Zhang , Mingjie Zhang , Gang Wei , Jingyu Wang , Xiaogang Deng

With the advent of PW class lasers, the very large laser intensities attainable on-target should enable the production of intense high order Doppler harmonics from relativistic laser-plasma mirrors interactions. At present, the modeling of…

Computational Physics · Physics 2017-10-11 G. Blaclard , H. Vincenti , R. Lehe , J. L. Vay

Existing interventional causal discovery methods -- IGSP, DCDI, ENCO -- assume causal sufficiency (no latent confounders) and rely on virtual interventions in synthetic simulators. In AI-for-Science settings such as molecular design and…

Machine Learning · Computer Science 2026-05-11 Tsuyoshi Okita

Despite rapid improvements in the performance of central processing unit (CPU), the calculation cost of simulating chemically reacting flow using CFD remains infeasible in many cases. The application of the convolutional neural networks…

Machine Learning · Computer Science 2023-07-26 Joongoo Jeon , Juhyeong Lee , Sung Joong Kim

We present a generalized FDTD scheme to simulate moving electromagnetic structures with arbitrary space-time configurations. This scheme is a local adaptation and 2+1-dimensional extension of the uniform and 1+1-dimensional scheme recently…

Computational Engineering, Finance, and Science · Computer Science 2023-10-10 Amir Bahrami , Zoé-Lise Deck-Léger , Zhiyu Li , Christophe Caloz

The scientific computation methods development in conjunction with artificial intelligence technologies remains a hot research topic. Finding a balance between lightweight and accurate computations is a solid foundation for this direction.…

Machine Learning · Computer Science 2025-07-03 Nikita Sakovich , Dmitry Aksenov , Ekaterina Pleshakova , Sergey Gataullin

Neural operator models for solving partial differential equations (PDEs) often rely on global mixing mechanisms-such as spectral convolutions or attention-which tend to oversmooth sharp local dynamics and introduce high computational cost.…

Machine Learning · Computer Science 2025-10-01 Chun-Wun Cheng , Bin Dong , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

Over the last ten years, Patient-Derived Organoids (PDOs) emerged as the most reliable technology to generate ex-vivo tumor avatars. PDOs retain the main characteristics of their original tumor, making them a system of choice for…

The technologically-relevant task of feature extraction from data performed in deep-learning systems is routinely accomplished as repeated fast Fourier transforms (FFT) electronically in prevalent domain-specific architectures such as in…

The physics-informed neural operator (PINO) is a machine learning paradigm that has demonstrated promising results for learning solutions to partial differential equations (PDEs). It leverages the Fourier Neural Operator to learn solution…

This study introduces a novel point-wise diffusion model that processes spatio-temporal points independently to efficiently predict complex physical systems with shape variations. This methodological contribution lies in applying forward…

Computational Physics · Physics 2025-08-05 Jiyong Kim , Sunwoong Yang , Namwoo Kang

Photodynamic therapy (PDT) is a targeted cancer treatment that uses light-activated photosensitizers to generate reactive oxygen species that selectively destroy tumor cells, generally causing less collateral damage than conventional…

Fourier Neural Operators (FNOs) have been promoted as fast, mesh-invariant surrogates for partial-differential equation solvers, with seismic studies reporting orders-of-magnitude speedup over classical methods. We revisit those claims by…

Geophysics · Physics 2025-08-18 Dimitri Voytan , Litan Li

Neural operators are becoming the default tools to learn solutions to governing partial differential equations (PDEs) in weather and ocean forecasting applications. Despite early promising achievements, significant challenges remain,…

Machine Learning · Computer Science 2025-10-14 Vahidreza Jahanmard , Ali Ramezani-Kebrya , Robinson Hordoir

We present an fully AI-driven design framework for photonic crystals (PhCs), engineered to achieve high efficiency in photonic crystal surface-emitting lasers (PCSELs). By discretizing the PhC structure into a grid, where the edges of the…

Optics · Physics 2025-03-31 Hai Huang , Ziteng Xu , Qi Xin , Zhaoyu Zhang

The rapid adaptation of data driven AI models, such as deep learning inference, training, Vision Transformers (ViTs), and other HPC applications, drives a strong need for runtime precision configurable different non linear activation…

Hardware Architecture · Computer Science 2026-02-12 Mukul Lokhande , Gopal Raut , Santosh Kumar Vishvakarma

Physics-Informed Neural Networks (PINNs) have recently emerged as a promising alternative for solving partial differential equations, offering a mesh-free framework that incorporates physical laws directly into the learning process. In this…

Computational Physics · Physics 2025-04-17 Gal G. Shaviner , Hemanth Chandravamsi , Shimon Pisnoy , Ziv Chen , Steven H. Frankel

This study aims to improve photon counting CT (PCCT) image resolution using denoising diffusion probabilistic models (DDPM). Although DDPMs have shown superior performance when applied to various computer vision tasks, their effectiveness…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Chuang Niu , Christopher Wiedeman , Mengzhou Li , Jonathan S Maltz , Ge Wang