Results 181 to 190 of about 1,768,391 (280)

Thermomechanically squeezed multi-mode phonon lasers with levitated optomechanics. [PDF]

Nat Commun
Song X, Li G, Kuang T, Huang R, Xiong W, Chen X, Han X, Zhang Y, Nori F, Jing H, Luo H, Xiao G.   +11 more
europepmc   +1 more source

Probing and Graph Coloring Techniques for Trace Estimation in Lattice QCD

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The computation of Tr[D−1]$\mathrm{Tr}[D^{-1}]$, where D$D$ is the Wilson–Dirac matrix of Lattice QCD, is a fundamental and computationally demanding task with applications to disconnected hadronic correlation functions. Since D−1$D^{-1}$ is a dense matrix of prohibitive size, its trace cannot be computed exactly, and one must resort to ...
Mario Papace, Andreas Frommer, Jose Jimenez‐Merchan, Bruno Lang, Gustavo Ramirez‐Hidalgo, Christian Schneider   +5 more
wiley   +1 more source

An optimal Petrov-Galerkin framework for operator networks. [PDF]

Comput Methods Appl Mech Eng
Charles P, Ray D, Yu Y, Prins J, Melchers H, Abdelmalik MRA, Cochran J, Oberai AA, Hughes TJR, Larson MG.   +9 more
europepmc   +1 more source

Shooting Methods for Boundary Value Problems of Fractional Differential Equations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT We consider two‐point boundary value problems of fractional differential equations (FDEs) including a Caputo derivative with a fractional order in the range (0,1) or (1,2). The numerical solution of a boundary value problem is investigated using shooting methods.
Roland Pulch, Abhishek Kumar Singh
wiley   +1 more source

The finite element neural network method to simulate two dimensional partial differential equations and perform parameter identification. [PDF]

Sci Rep
Abda M, Berthet L, Hamedi M, Hibatullah D, Piollet E, Blake C, Blais B, Gosselin FP.   +7 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

Convergence of the Immersed Interface Method in Linear Elasticity. [PDF]

Mathematica (N Y)
Asghar S, Peng Q, Javierre E, Vermolen F.   +3 more
europepmc   +1 more source

Adaptive Implicit Runge–Kutta Methods for Stabilized Index‐One Differential Algebraic Equations in Constrained Flexible Multibody Systems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT This communication discusses the application of implicit Runge–Kutta methods to constrained flexible multibody systems. Since the resulting systems of differential algebraic equations (DAEs) are typically considered to be very stiff, the family of stiffly accurate A$A$‐ and L$L$‐stable Radau IIA collocation methods is investigated.
Jonas Breuling
wiley   +1 more source

Editorial for the Special Issue on Advanced Manufacturing Technology and Systems, 3rd Edition. [PDF]

Micromachines (Basel)
Xing Y, Li G, Zhu Z.
europepmc   +1 more source

A Mixed Discrete Cosserat Rod Formulation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT In this communication we propose a discrete Cosserat rod formulation in which a slender elastic rod is represented as a chain of rigid bodies (nodes) coupled by compliant elastic forces and moments acting between adjacent node pairs. Discrete dilatation, shear, torsion and curvature strain measures are evaluated from the relative kinematics of
Tianxiang Dai, Marco Herrmann, Jonas Breuling, Remco I. Leine, Simon R. Eugster   +4 more
wiley   +1 more source