Stochastic and Statistical Analysis of Cnoidal, Snoidal, Dnoidal, Hyperbolic, Trigonometric and Exponential Wave Solutions of a Coupled Volatility Option-Pricing System. [PDF]
Abdalgadir LM +3 more
europepmc +1 more source
ABSTRACT We extend the kernel‐based symplectic predictor introduced by Herkert et al. (2026) to a parameter‐augmented setting in which the learned flow‐map surrogate depends not only on the state, but also on additional variables such as physical parameters and macro time‐step sizes. The method uses a product kernel ansatz on a parameter and macro step
Robin Herkert +2 more
wiley +1 more source
Exact wave structures and bifurcation for the (2+1)-Dimensional bogoyavlensky-Konopelchenko equation using modified extended direct algebraic technique. [PDF]
Elhady MA +4 more
europepmc +1 more source
Abstract Spatial heterogeneity, manifested as strong variability in hydraulic conductivity (K) within geological formations, exerts a fundamental control on groundwater flow and solute transport. Because K can vary over multiple orders of magnitude in complex three‐dimensional patterns, predicting contaminant plume migration remains a long‐standing ...
Zhilin Guo +8 more
wiley +1 more source
Deterministic, stochastic, and mean-field PDE models in neuroscience. [PDF]
Çetin C +5 more
europepmc +1 more source
Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
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
Two novel phosphodiesterases (PDEs) found from woody plant jujube exhibit diverse biological functions via regulating cAMP, cGMP and hormones. [PDF]
Zhao X +5 more
europepmc +1 more source
Feedback Linearisation with State Constraints
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
Innovative Aboodh-based gractional analytical methods for nonlinear Burgers' partial differential equations. [PDF]
Iqbal N +6 more
europepmc +1 more source
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

