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
Enhanced Taylor-Aris dispersion in slender pulsatile annular channels: Implications for perivascular solute transport. [PDF]
J Fluid MechSarkar D, Mukherjee S.
europepmc +1 more source
Estimation of Underlying Normal Distribution Parameters From Dichotomized Data
Biometrical Journal, Volume 68, Issue 5, October 2026.ABSTRACT Accurately estimating the parameters of a continuous distribution from dichotomized or aggregated data is a common problem in biomedical and environmental research. Many studies report only the proportion of subjects exceeding a threshold, without releasing individual‐level measurements.
Zhaoze Liu +4 more
wiley +1 more source
Some generalized recurrence relations for nonlinear equations by using decomposition technique with application of fractal geometry. [PDF]
MethodsXShah FA +3 more
europepmc +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
Hybrid meta heuristic and fuzzy impedance method for fast fault location in power system lines. [PDF]
Sci RepNajafzadeh M +4 more
europepmc +1 more source
When a Week Is Not A Week: How Temporal Boundaries Shift Regulatory Focus and Consumer Preference
Psychology &Marketing, Volume 43, Issue 10, Page 2569-2587, October 2026.ABSTRACT Does consumer perception of a sales event change if it falls across a calendar boundary (e.g., next month) versus within the current month, holding objective time constant? We investigate this question in the context of Cyber Monday, the global shopping event occurring the Monday after the U.S. Thanksgiving holiday.
David DeFranza, Promothesh Chatterjee
wiley +1 more source
Innovative sustainable concrete with waste glass materials: an explainable machine learning for compressive strength prediction. [PDF]
Sci RepShams A, Wani SR, Mousa E, Hamed AK.
europepmc +1 more source
Polynomial Preconditioning for Indefinite Matrices
Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.ABSTRACT Polynomial preconditioning is an important tool in solving large linear systems and eigenvalue problems. A polynomial from GMRES can be used to precondition restarted GMRES and restarted Arnoldi. Here we give methods for indefinite matrices that make polynomial preconditioning more generally applicable. The new techniques include balancing the
Hayden Henson, Ronald B. Morgan
wiley +1 more source
Rapid Estimation of Global Sea Surface Temperatures From Sparse Streaming In Situ Observations
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 5, October 2026.Abstract Reconstructing high‐resolution sea surface temperatures (SST) from staggered SST measurements is essential for analyzing earth system processes. However, when SST measurements are sparse, the resulting inferred SST fields are rather inaccurate.
Cassidy All +5 more
wiley +1 more source