Results 31 to 40 of about 1,072 (108)
The Journal of Physiology, EarlyView.Abstract figure legend Ephaptic phenomena in a high‐resolution model of the cardiac intercalated disc. Meshed representation of a tortuous intercalated disc that was generated based on electron and super‐resolution microscopy data. Na+ channels (red) and gap junctions (green) are heterogeneously distributed, with additional regions of reduced ion ...
Ena Ivanovic +4 more
wiley +1 more source
Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
wiley +1 more source
Toward Robust Optimal Control of Chromatographic Separation Processes With Controlled Flow Reversal
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.ABSTRACT Column liquid chromatography is an important technique applied in the production of biopharmaceuticals, specifically for the separation of biological macromolecules such as proteins. When setting up process conditions, it is crucial that the purity of the product is sufficiently high, even in the presence of perturbations in the process ...
Dominik H. Cebulla +2 more
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.ABSTRACT This study introduces the inductive differential constraint method (IDCM), a data‐informed structural regularization framework that enhances neural network predictions under data‐scarce regimes by enforcing invariant differential structures extracted from simulation data.
Rekisei Ozawa, Yoshitaka Wada
wiley +1 more source
Thermo‐Mechanical Topology Optimization: An Immersed FEM Level‐Set‐Based Approach
International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.ABSTRACT This paper proposes a multi‐physics framework for topology optimization using an immersed level set‐finite element model. The work extends the capabilities of a recently developed immersed level‐set method to thermo‐mechanical problems, including coupling and material‐dependent properties.
Farzad Tatar +3 more
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Engineering Reports, Volume 8, Issue 8, August 2026.This graphical abstract presents a lightweight and automated BiLSTM‐based Multi‐Cycle GAN framework for retinal blood vessel and optic disc segmentation in fundus images. Initially, fundus images undergo preprocessing, including green channel extraction, denoising, resizing, and dataset splitting.
Rasmita Kumari Mohanty +7 more
wiley +1 more source
Physics Constraint‐Guided Neural Network for Solving Partial Differential Equations
Engineering Reports, Volume 8, Issue 8, August 2026.A Physics Constraint‐Guided Network (PCGN) is proposed to solve partial differential equations by integrating physical encoding, adaptive residual balancing, and constraint projection. The framework enables stable constraint propagation, improves physical consistency, and achieves higher accuracy and robustness compared with existing neural network ...
Zhihui Hou, Yaxu Peng
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Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 12, Page 4863-4878, 25 August 2026.ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo +7 more
wiley +1 more source
Efficient Tensor Completion Algorithms for Highly Oscillatory Operators
Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.ABSTRACT We address the problem of recovering highly oscillatory operators, represented as n×n$$ n\times n $$ matrices with a fixed set of observed entries. Given that these matrices can be well compressed by butterfly matrix decomposition of L=𝒪(logn) levels requiring only O(nlogn)$$ O\left(n\log n\right) $$ degrees of freedom, we propose a novel ...
Navjot Singh +3 more
wiley +1 more source