Results 111 to 120 of about 1,345 (197)

Scattering theory for difference equations with operator coefficients

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher, Luis Silva, Boris Vertman, Monika Winklmeier   +3 more
wiley   +1 more source

Unitary ensembles with a critical edge point, their multiplicative statistics, and the Korteweg‐de‐Vries hierarchy

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso, Carla Mariana da Silva Pinheiro   +1 more
wiley   +1 more source

Multi‐Scale Electrical Conductivity Model of the Contiguous United States

Geophysical Research Letters, Volume 53, Issue 4, 28 February 2026.
Abstract The completion of the Magnetotelluric (MT) USArray across the contiguous US enables continental‐scale 3‐D imaging of the asthenosphere‐lithosphere electrical structure. We present a novel 3‐D model of the contiguous United States (MECMUS), derived from a single inversion of the now‐completed USMTArray data set.
Federico D. Munch, Alexander Grayver
wiley   +1 more source

Implementing physics-informed neural networks with deep learning for differential equations. [PDF]

Front Artif Intell
Emmert-Streib F, Tripathi S, Farea A, Holzinger A.   +3 more
europepmc   +1 more source

Bi-level iterative regularization for inverse problems in nonlinear PDEs

Inverse Problems
Abstract We investigate the ill-posed inverse problem of recovering unknown spatially dependent parameters in nonlinear evolution partial differential equations (PDEs). We propose a bi-level Landweber scheme, where the upper-level parameter reconstruction embeds a lower-level state approximation.
openaire   +4 more sources

Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
Zimmermann P.
europepmc   +1 more source

Fast Numerical Solvers for Parameter Identification Problems in Mathematical Biology. [PDF]

J Sci Comput
Benková K, Pearson JW, Ptashnyk M.
europepmc   +1 more source

Parameter identification for PDEs using sparse interior data and a recurrent neural network. [PDF]

Sci Rep
Long J, Khaliq A, Furati KM.
europepmc   +1 more source

Physics-informed neural network with weighted loss and hard constraints for hyperbolic conservation laws. [PDF]

Sci Rep
Ghoreishi MS, Naderan H.
europepmc   +1 more source

Physics-informed neural networks for physiological signal processing and modeling: a narrative review. [PDF]

Physiol Meas
Zhao A, Fattahi D, Hu X.
europepmc   +1 more source