activity
20182026
most citedFinite Basis Physics-Informed Neural Networks (FBPINNs): a scalable domain decomposition approach for solving differential equations

363 citations · 462 across the 10 of their papers we have counts for

collaborators

11 papers

cs.CE2026

Differentiable Hybrid Modelling for Learning and Optimising Chemical Transport Processes from Experimental Data

Arthur Jessop, Mohammed Alsubeihi, Ben Moseley +1

Transport models underpin the design and optimisation of chemical processes, yet their constitutive laws are typically hand-picked, their experimental initial conditions are assume…

quant-ph2026

Extending quantum theory with AI-assisted deterministic game theory

Florian Pauschitz, Ben Moseley, Ghislain Fourny

We present an AI-assisted framework for predicting individual runs of complex quantum experiments, including contextuality and causality (adaptive measurements), within our long-te…

cs.LG2026

Learning, Solving and Optimizing PDEs with TensorGalerkin: an efficient high-performance Galerkin assembly algorithm

Shizheng Wen, Mingyuan Chi, Tianwei Yu +5

We present a unified algorithmic framework for the numerical solution, constrained optimization, and physics-informed learning of PDEs with a variational structure. Our framework i…

cs.LG2026

PTL-PINNs: Perturbation-Guided Transfer Learning with Physics- Informed Neural Networks for Nonlinear Systems

Duarte Alexandrino, Ben Moseley, Pavlos Protopapas

Accurately and efficiently solving nonlinear differential equations is crucial for modeling dynamic behavior across science and engineering. Physics-Informed Neural Networks (PINNs…

math.NA2025

Local Feature Filtering for Scalable and Well-Conditioned Domain-Decomposed Random Feature Methods

Jan Willem van Beek, Victorita Dolean, Ben Moseley

Random Feature Methods (RFMs) and their variants such as extreme learning machine finite-basis physics-informed neural networks (ELM-FBPINNs) offer a scalable approach for solving…

cs.CE2024

Modern, Efficient, and Differentiable Transport Equation Models using JAX: Applications to Population Balance Equations

Mohammed Alsubeihi, Arthur Jessop, Ben Moseley +2

Population balance equation (PBE) models have potential to automate many engineering processes with far-reaching implications. In the pharmaceutical sector, crystallization model-b…

math.NA2024

ELM-FBPINNs: An Efficient Multilevel Random Feature Method

Samuel Anderson, Victorita Dolean, Ben Moseley +1

Domain-decomposed variants of physics-informed neural networks (PINNs) such as finite basis PINNs (FBPINNs) mitigate some of PINNs' issues like slow convergence and spectral bias t…

math.NA2023★ 96 cited

Multilevel domain decomposition-based architectures for physics-informed neural networks

Victorita Dolean, Alexander Heinlein, Siddhartha Mishra +1

Physics-informed neural networks (PINNs) are a powerful approach for solving problems involving differential equations, yet they often struggle to solve problems with high frequenc…

math.NA2022★ 3 cited

Finite basis physics-informed neural networks as a Schwarz domain decomposition method

Victorita Dolean, Alexander Heinlein, Siddhartha Mishra +1

Physics-informed neural networks (PINNs) [4, 10] are an approach for solving boundary value problems based on differential equations (PDEs). The key idea of PINNs is to use a neura…

physics.comp-ph2021★ 363 cited

Finite Basis Physics-Informed Neural Networks (FBPINNs): a scalable domain decomposition approach for solving differential equations

Ben Moseley, Andrew Markham, Tarje Nissen-Meyer

Recently, physics-informed neural networks (PINNs) have offered a powerful new paradigm for solving problems relating to differential equations. Compared to classical numerical met…

cs.NE2018

Pre-Synaptic Pool Modification (PSPM): A Supervised Learning Procedure for Spiking Neural Networks

Bryce Bagley, Blake Bordelon, Benjamin Moseley +1

Learning synaptic weights of spiking neural network (SNN) models that can reproduce target spike trains from provided neural firing data is a central problem in computational neuro…