Reaction-Diffusion Systems

Latest papers

13 papers2 papers in the last four weeks, against 1 the four weeks before. 0.0% of all new papers.

Global-in-time Spectral Duhamel-Picard Method for Post-Exposure Bake Simulation and Physics-Informed Neural Operators for EUV Lithography
Oct 13, 2026Doyun Kim, Mircea Dusa, Werner Gilijns +1Reaction-Diffusion Systems Semiconductor Manufacturing
IMEC, Kapeldreef 75, 3001 Leuven, Belgium
Neural Constitutive Learning for Generalized Reaction-Diffusion Systems
Sep 29, 2026Shang-Ke Chen, Yu-Peng Wang, Shih-Hsuan Hung +4Reaction-Diffusion Systems Neural PDE Solvers
National Tsing Hua University · NVIDIA
RD-JEPA: Predictive latent pretraining for few-trajectory transfer across reaction--diffusion equations
Sep 24, 2026Chenhao Si, Ming YanDynamical Systems Reaction-Diffusion Systems
School of Data Science, The Chinese University of Hong Kong, Shenzhen, Shenzhen, China
AI-Augmented Adaptive Digital Twin Modeling for Brain Tumor Evolution Prediction and Treatment Scheduling
Jul 15, 2026Wenxi Liu, Michael Trimboli, Xianqi LiDynamical Systems Reaction-Diffusion Systems
Department of Mathematics and Systems Engineering, Florida Institute of Technology, Melbourne, FL, 32901, USA
Loss Landscape Diagnosis for Gradient-Based Gray-Scott System Inversion: Disentangling the Roles of PINN Components
Jun 9, 2026Yan YangLoss Landscape Dynamical Systems
Independent Researcher.
Turing Patterns for Multimedia: Reaction-Diffusion Multi-Modal Fusion for Language-Guided Video Moment Retrieval
Jun 1, 2026Xiang Fang, Wanlong Fang, Wei Ji +1Temporal Video Grounding Reaction-Diffusion Systems
Nanyang Technological University · Singapore, Singapore · Nanjing University +2
Approximation Theory of Laplacian-Based Neural Operators for Reaction-Diffusion System
May 12, 2026Takashi Furuya, Ryo Ozawa, Jenn-Nan WangReaction-Diffusion Systems PDE Operator Learning
Doshisha University, RIKEN AIP · Tohoku University · National Taiwan University
Physics-Informed Neural Networks for Biological $2\mathrm{D}{+}t$ Reaction-Diffusion Systems
Apr 20, 2026William Lavery, Jodie A. Cochrane, Christian Olesen +3Dynamical Systems Reaction-Diffusion Systems
Dept. of Information Technology Uppsala University Uppsala, Sweden · Dept. of Medical Genetics Oslo University Hospital Oslo, Norway · Dept. of Translational Hematology and Oncology Research, Cleveland Clinic, Cleveland, USA +1
Bias Inheritance in Neural-Symbolic Discovery of Constitutive Closures Under Function-Class Mismatch
Apr 1, 2026Hanbing Liang, Ze Tao, Fujun LiuReaction-Diffusion Systems PDE Discovery
Nanophotonics and Biophotonics Key Laboratory of Jilin Province, School of Physics, Changchun University of Science and Technology, Changchun 130022, P.R. China
FluidWorld: Reaction-Diffusion Dynamics as a Predictive Substrate for World Models
Mar 22, 2026Fabien PollyReaction-Diffusion Systems World Model Learning
Independent Researcher
Mathematical Modeling of Cancer-Bacterial Therapy: Analysis and Numerical Simulation via Physics-Informed Neural Networks
Mar 18, 2026Ayoub Farkane, David LassounonReaction-Diffusion Systems Oncology
TICLab, International University of Rabat, Rabat, 11100, Morocco · Université de Lorraine, CNRS, CRAN, F-54000 Nancy, France · Université de Lorraine, CNRS, IECL, F-54000, Nancy, France +1
A scaled TW-PINN: A physics-informed neural network for traveling wave solutions of reaction-diffusion equations with general coefficients
Mar 16, 2026Seungwan Han, Kwanghyuk Park, Jiaxi Gu +1Reaction-Diffusion Systems PDE Solving
Particle-Guided Diffusion for Gas-Phase Reaction Kinetics
Mar 5, 2026Andrew Millard, Henrik PedersenReaction-Diffusion Systems Physics-Informed Diffusion Models
Department of Computer and Information Science, Linköping University, Linköping, Sweden · Department of Physics, Chemistry and Biology, Linköping University, Linköping, Sweden

Oct 13, 2026J/K move · Enter open · S save

Global-in-time Spectral Duhamel-Picard Method for Post-Exposure Bake Simulation and Physics-Informed Neural Operators for EUV Lithography

Doyun Kim, Mircea Dusa, Werner Gilijns, Philippe Leray

IMEC, Kapeldreef 75, 3001 Leuven, Belgium

Reaction-Diffusion Systems Semiconductor Manufacturing Spectral Methods Physics-Informed Neural Operators Fourier Neural Operator

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We present a global-in-time spectral Duhamel-Picard method with polynomial expansions for post-exposure bake (PEB) simulation. The coupled acid-quencher reaction-diffusion equations are reformulated as nonlinear Volterra integral equations using the Duhamel principle. Full trajectories are represented by finite polynomial expansions, with temporal coefficient fields determined over the bake interval by Anderson-accelerated Picard iteration, thereby avoiding sequential time marching. In 3-D PEB simulations, we employ Chebyshev and Legendre temporal bases while evaluating the Duhamel integrals using the corresponding Gaussian quadrature rules. We demonstrate that the proposed method simulates a large domain of

1200\times1200\times100

voxels on the order of one minute. The representation is further incorporated into a physics-informed neural operator (PINO) with a mixed-transform variant of a factorized Fourier neural operator, which is trained without precomputed solution trajectories. Together, the integral formulation and its PINO extension enable accelerated, time-marching-free prediction of concentration fields at arbitrary times within the bake interval.