Results 151 to 160 of about 1,699 (225)

Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley   +1 more source

Go-or-grow models in biology: a monster on a leash. [PDF]

J Math Biol
Thiessen R, Conte M, Stepien TL, Hillen T.   +3 more
europepmc   +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, Janne Nurminen, Mikko Salo   +2 more
wiley   +1 more source

Effects of modified woods saxon potential on quantum dynamics of spin 0 scalar particle in a cosmic string spacetime. [PDF]

Sci Rep
Ahmed F, Bouzenada A.
europepmc   +1 more source

Laterally Oscillating Trajectory for Undersampling Slices: LOTUS

Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1682-1695, October 2026.
ABSTRACT Purpose While spiral sampling offers SNR advantages for diffusion MRI, its acceleration with simultaneous multislice remains relatively unexplored. This study introduces Laterally Oscillating Trajectory for Undersampling Slices (LOTUS), which is a 3D spiral‐like k‐space trajectory that aims to minimize g‐factor via controlled incoherent ...
Mayuri Sothynathan, Paul I. Dubovan, Corey A. Baron   +2 more
wiley   +1 more source

Using Randomized Nyström Preconditioners to Accelerate Variational Image Reconstruction. [PDF]

IEEE Trans Comput Imaging
Hong T, Xu Z, Hu J, Fessler JA.
europepmc   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Applications of the Mittag-Leffler law to linear kinetic models & diffusion equations. [PDF]

Sci Rep
Monyayi VT, Doungmo Goufo EF, Tchangou Toudjeu I.   +2 more
europepmc   +1 more source

Fast and Robust Diffusion Posterior Sampling for MR Image Reconstruction Using the Preconditioned Unadjusted Langevin Algorithm

Magnetic Resonance in Medicine, Volume 96, Issue 3, Page 1323-1332, September 2026.
ABSTRACT Purpose The Unadjusted Langevin Algorithm (ULA) in combination with diffusion models can generate high quality MRI reconstructions with uncertainty estimation from highly undersampled k‐space data. However, sampling methods such as diffusion posterior sampling (DPS) or likelihood annealing suffer from long reconstruction times and the need for
Moritz Blumenthal, Tina Holliber, Jonathan I. Tamir, Martin Uecker   +3 more
wiley   +1 more source

Rescaling and Asymptotic Acceleration in Unconstrained Quadratic Optimisation. [PDF]

Mathematica (N Y)
Zverovich A, Hutchings M, Gauthier B.
europepmc   +1 more source