Results 111 to 120 of about 4,626 (231)

Revisiting PSF models: Unifying framework and high‐performance implementation

Journal of Microscopy, Volume 301, Issue 3, Page 362-374, March 2026.
Abstract Localisation microscopy often relies on detailed models of point‐spread functions. For applications such as deconvolution or PSF engineering, accurate models for light propagation in imaging systems with a high numerical aperture are required. Different models have been proposed based on 2D Fourier transforms or 1D Bessel integrals.
Yan Liu, Vasiliki Stergiopoulou, Jonathan Chuah, Eric Bezzam, Gert‐Jan Both, Michael Unser, Daniel Sage, Jonathan Dong   +7 more
wiley   +1 more source

An Inverse Problem for a Fractional Space-Time Diffusion Equation with Fractional Boundary Condition. [PDF]

Entropy (Basel)
Brociek R, Wajda A, Napoli C, Capizzi G, Słota D.   +4 more
europepmc   +1 more source

Cointegrating Polynomial Regressions With Power Law Trends

Journal of Time Series Analysis, Volume 47, Issue 2, Page 331-344, March 2026.
ABSTRACT The common practice in cointegrating polynomial regressions (CPRs) often confines nonlinearities in the variable of interest to stochastic trends, thereby overlooking the possibility that they may be caused by deterministic components. As an extension, we propose univariate and multivariate CPRs that incorporate power law deterministic trends.
Yicong Lin, Hanno Reuvers
wiley   +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

Quasi‐Fuchsian flows and the coupled vortex equations

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract We provide an alternative construction of the quasi‐Fuchsian flows introduced by Ghys. Our approach is based on the coupled vortex equations that allows to see these flows as thermostats on the unit tangent bundle of the Blaschke metric, uniquely determined by a conformal class and a holomorphic quadratic differential.
Mihajlo Cekić, Gabriel P. Paternain
wiley   +1 more source

Solving the coupled Gerdjikov-Ivanov equation via Riemann-Hilbert approach on the half line. [PDF]

Sci Rep
Hu J, Dong H, Zhang N.
europepmc   +1 more source

Hyperderivatives of the deformation series associated with arithmetic gamma values and characteristic p$p$ multiple zeta values

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
wiley   +1 more source

Investigation of a Lyapunov delta-type inequality with respect to a discrete fractional Green's function. [PDF]

Sci Rep
Mohammed PO, Arab M.
europepmc   +1 more source

On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley   +1 more source

Stability of Inverse Problems for Steady Supersonic Flows Past Lipschitz Perturbed Cones. [PDF]

Arch Ration Mech Anal
Chen GG, Pu Y, Zhang Y.
europepmc   +1 more source