Results 101 to 110 of about 2,810 (199)

Fast automated adjoints for spectral PDE solvers. [PDF]

Proc Natl Acad Sci U S A
Skene CS, Burns KJ.
europepmc   +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

Diffusion-Shock PDEs for Deep Learning on Position-Orientation Space. [PDF]

J Math Imaging Vis
Sherry FM, Schaefer K, Duits R.
europepmc   +1 more source

A Lightweight and Erudite Automated BiLSTM‐Based Multi‐Cycle GAN for Retinal Blood Vessel and Optic Disc Segmentation in Fundus Images

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, Amaravarapu Pramod Kumar, Yuvaraju Macha, Agraharam Siva Kumar, J. Srinivas, G. Shyama Chandra Prasad, Rajesh Kumar Verma, Shashi Kant   +7 more
wiley   +1 more source

Analytical analysis of the nonlinear fractional order Pochhammer-Chree equation with power-law nonlinearity in elastic materials. [PDF]

Sci Rep
Khalid M, Khalid NA, Ceesay B, Ahmed N.
europepmc   +1 more source

Modeling and Analysis of Nonlinear Radiative and Electromagnetic Effects With Second‐Order Slip in Unsteady Hybrid Nanofluid Flow Past a Porous Stretching Surface

Engineering Reports, Volume 8, Issue 8, August 2026.
The current work examines the dynamics of the stagnation point flow of an unsteady hybrid nanofluid (Fe2O3–Cu/H2O) across an inclined porous stretching surface. It considers heat transfer, second‐order slip, electrical field, heat source/sink, mixed convection, and magnetic field effects, as well as linear and nonlinear radiation.
Mazhar Hussain, Sadia Hameed, Muhammad Zohaib Hanif, Mubashir Qayyum, Saraswati Acharya   +4 more
wiley   +1 more source

New analytical wave solutions for the gardner equation via the Riccati-modified extended simple equation method. [PDF]

Sci Rep
Jawarneh Y, Almusawa MY, Haleemzai I, Hakami AH, Ahmadini AAH, Albaity A.   +5 more
europepmc   +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
wiley   +1 more source

Optimal error estimates of the diffuse domain method for second order parabolic equations. [PDF]

BIT Numer Math
Hao W, Ju L, Xu Y.
europepmc   +1 more source

Special issue on degenerate and singular PDEs and phenomena in analysis and mathematical physics

Journal of Mathematical Analysis and Applications, 2009
openaire   +1 more source