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
Exploring soliton solutions and dynamical features of three dimensional Gardner Kadomtsov Petviashvili equation. [PDF]
Sci RepHussain A +3 more
europepmc +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 17, Page 17793-17815, 30 November 2026.ABSTRACT This paper focuses on optimal design problems in the context of the Kirchhoff‐Love model for pure bending of a thin, solid, symmetric plate under a transverse load. The objective is to simultaneously determine the optimal outer shape of the domain and the distribution of two isotropic materials within the domain in order to minimize compliance.
Ivana Crnjac +2 more
wiley +1 more source
Analytical solutions of the time-fractional symmetric regularized long wave equation using the [Formula: see text] model expansion method. [PDF]
Sci RepAldwoah K +5 more
europepmc +1 more source
Feedback Linearisation with State Constraints
International Journal of Robust and Nonlinear Control, Volume 36, Issue 17, Page 7579-7595, 25 November 2026.ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
wiley +1 more source
Network architecture follows coupling in multiphysics systems: single vs. multiple branches in DeepONet and S-DeepONet. [PDF]
Commun EngPark J +5 more
europepmc +1 more source
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 21, 16 November 2026.Abstract Methane (CH4 ${\text{CH}}_{4}$) is a critical greenhouse gas, and accurate monitoring of its vertical distribution is essential for understanding its radiative impact and identifying emission sources. This paper introduces a novel methodology using a physics‐constrained neural network based on soft constraints to retrieve CH4 ${\text{CH}}_{4}$
Rocco Giosa +12 more
wiley +1 more source
A Geometric Multigrid Preconditioner for Discontinuous Galerkin Shifted Boundary Method
International Journal for Numerical Methods in Engineering, Volume 127, Issue 21, 15 November 2026.ABSTRACT I introduce a geometric multigrid preconditioner for the Shifted Boundary Method (SBM) designed to solve PDEs on complex geometries. While the SBM simplifies mesh generation by using a nonconforming background grid, it often results in nonsymmetric linear systems, a complete analysis of which is missing from the literature, especially with ...
Michał Wichrowski
wiley +1 more source
Beyond Bayesian Inference: The Correlation Integral Likelihood Framework and Gradient Flow Methods for Deterministic Sampling. [PDF]
Bull Math BiolGwiazda P +3 more
europepmc +1 more source
Initial Fisheries Bycatch Estimates for Threatened Marine Mammals in Cambodia
Aquatic Conservation: Marine and Freshwater Ecosystems, Volume 36, Issue 11, November 2026.ABSTRACTBycatch is the biggest threat to marine mammals globally. To estimate bycatch and investigate bycatch drivers for Irrawaddy dolphin (Orcaella brevirostris), Indo‐Pacific humpback dolphin (Sousa chinensis), Indo‐Pacific finless porpoise (Neophocaena phocaenoides) and dugong (Dugong dugon) in Cambodia, questionnaires were conducted with 449 ...
Sarah Tubbs +5 more
wiley +1 more source