Results 111 to 120 of about 543 (203)

Partial Observation of Linear Systems With the Mori–Zwanzig Formalism

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The Mori–Zwanzig (MZ) formalism provides a systematic framework for deriving reduced‐order model of dynamical systems when only part of the state is observed, but its practical use is often limited by the complexity of the resulting computations.
Fan Wang, Peter Benner, Jan Heiland
wiley   +1 more source

Novel approximate solutions of the fractional form of graphene sheet thermophoretic motion model. [PDF]

Sci Rep
Abdel-Aty AH, Hafez M, Wan Niu Voon B, Albalawi W, Abdalla M, Mohamed Ali H.   +5 more
europepmc   +1 more source

Global Graph Surrogates and Neural Graph Elements for Computational Mechanics

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Machine learning surrogates are increasingly used to accelerate physics‐based simulations by predicting full‐field responses at a fraction of the computational cost. In this contribution, we present two complementary graph‐based approaches for surrogate modelling in computational mechanics.
Rutwik Gulakala, Marcus Stoffel
wiley   +1 more source

Bifurcation analysis and exploration of new optical soliton solutions in parabolic law medium with weak non-local nonlinearity. [PDF]

Sci Rep
Ali KK, Siddique I, Baloch SA, Saqib I, Bayram M, Abdullaeva B.   +5 more
europepmc   +1 more source

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

Data-driven emulation of modal aerosol microphysics via neural operator-based modeling. [PDF]

Sci Rep
Bai Z, Rouson D.
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

β-Fractional [Formula: see text]-dimensional generalized KP model: nonlinear dynamical behaviors, analytical wave structures, bifurcation, and sensitivity analysis. [PDF]

Sci Rep
Demirbilek U, Danladi A, Akbulut A, Boulaaras S, Ahmed KK.   +4 more
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

Time fractional modeling of MHD natural convection flow between parallel plates via caputo-fabrizio integral. [PDF]

Sci Rep
Masood K.
europepmc   +1 more source