Results 271 to 280 of about 173,975,381 (346)

Sparsity‐Driven Source Localization in Tomographic Sensing Applications

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Hyperspectral standoff detection systems such as Focal Plane Array (FPA) Fourier Transform Infrared (FTIR) spectrometers provide high spatial resolution in detecting airborne chemical contaminants that are invisible to the human eye but potentially hazardous. When two such systems are operated simultaneously with a suitable opening angle, they
Marco Mattuschka, Noah An der Lan, Stefanie Schröder, Arne Ficks, Max von Danwitz, Alexander Popp   +5 more
wiley   +1 more source

A framework to map cAMP signalling nanodomains: phosphodiesterase-centred phosphoproteome-interactome networks (pPINs) in cardiac myocytes. [PDF]

J Mol Endocrinol
Kovanich D, Zaccolo M.
europepmc   +1 more source

Gradient Flows on Sparse Representations for PDE‐Regularized Inverse Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT In this short paper, we summarize the theory of Atomic Gradient Flows (AGF) introduced in (Amend, Carioni and Zemas, arxiv:2603.25675, 2026), which provides a framework to construct gradient flows on sparse representations for convex regularized optimization problems.
Christian Amend, Marcello Carioni
wiley   +1 more source

Deterministic, stochastic, and mean-field PDE models in neuroscience. [PDF]

Front Comput Neurosci
Çetin C, Piqueira JRC, İzgi B, Peker-Dobie A, Ahmetolan S, Özkaya M.   +5 more
europepmc   +1 more source

On Switching Times Optimization and Second‐Order Sufficient Conditions for Optimal Bang‐Bang Boundary Control of the Heat Equation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT We consider optimal control of the heat equation where the control variable appears linearly as a boundary control. We establish switching times optimization for bang–bang controls with multiple switching times. Particularly, representations of variational derivatives of the state and the cost w.r.t. switching times are given.
Georg Vossen
wiley   +1 more source

Convergence Analysis of Iterative Deep Learning Algorithms for Fully Nonlinear BSPDEs in Non-Markovian Utility Maximization. [PDF]

J Sci Comput
Ma J, Wu H, Zheng HH.
europepmc   +1 more source

On the Coupling of Reaction–Diffusion–Transport Equations With Biot's Poroelasticity Model: An Application to Meniscus Regeneration

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Regenerative medicine is a promising approach for the treatment of meniscus injuries. In silico experiments provide a valuable framework for optimizing such therapies by improving the understanding of both environmental effects on cell behavior and the interaction between cells and nonwoven scaffolds, which act as porous media supporting cell ...
Ahmad Hussein, Jeremias Arf, Bernd Simeon, Christina Surulescu   +3 more
wiley   +1 more source

Extracting wave solutions of coupled system of dual-mode variant boussinesq equation via two analytical methods. [PDF]

Sci Rep
Arshed S, Akram G, Sadaf M, Ahmed M, Birhanu A, Abd El-Rahman M.   +5 more
europepmc   +1 more source

A Variational Physics‐Informed Neural Network Framework for Simulating Nonlinear Elastic Wave Propagation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT This work employs Variational Physics‐Informed Neural Networks (VPINNs) to solve the forward problem of one‐dimensional wave propagation in nonlinear elastic solids. A first‐order elastodynamic formulation is adopted, where particle velocity and strain serve as the primary field variables.
Benjamin Ankay, Okyay Altay
wiley   +1 more source

Diffusion-Shock PDEs for Deep Learning on Position-Orientation Space. [PDF]

J Math Imaging Vis
Sherry FM, Schaefer K, Duits R.
europepmc   +1 more source