Results 141 to 150 of about 856 (206)

Chebyshev Smoothing With Adaptive Block‐FSAI Preconditioners for the Multilevel Solution of Higher‐Order Problems With the Partition of Unity Method

Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT In this paper, we assess the performance of adaptive and nested factorized sparse approximate inverses as smoothers in multilevel V‐cycles, when smoothing is performed following the Chebyshev iteration of the fourth kind, for the efficient solution of linear systems arising from a conforming discretization of higher‐order partial differential ...
Pablo Jiménez Recio, Marc Alexander Schweitzer   +1 more
wiley   +1 more source

MHA-PINN: A Novel Physics-Informed Neural Network for Predicting Fiber Dyeability. [PDF]

Sensors (Basel)
Zhou F, Liu Y, Yang S, Guo F, Yuan X, Xie R.   +5 more
europepmc   +1 more source

Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin, Nina Beranek, Gajendra Babu Budihala, Matthias Mettenleiter, Goksu Oruc, Karsten Urban   +5 more
wiley   +1 more source

Physics-Informed Neural Networks with Unknown Partial Differential Equations: An Application in Multivariate Time Series. [PDF]

Entropy (Basel)
Mortezanejad SAF, Wang R, Mohammad-Djafari A.   +2 more
europepmc   +1 more source

Two Scale FE‐FFT‐Based Modeling of Cancellous Bone

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Osteoporosis is characterized by a loss of volume percentage of cortical bone, which reduces the loading capacity of this organ and increases its likelihood for fractures. The disease has the highest prevalence of any bone disease worldwide, with a particularly high incidence among the elderly.
Mischa Blaszczyk, Christian Gierden, Klaus Hackl, Johanna Waimann   +3 more
wiley   +1 more source

Hybridndiff-UQ: Uncertainty quantification for hybrid neural differentiable modeling. [PDF]

Theor Appl Mech Lett
Akhare D, Luo T, Wang JX.
europepmc   +1 more source

On MAP Estimates and Source Conditions for Drift Identification in SDEs

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck, Nikolas Uesseler, Philipp Wacker, Benedikt Wirth   +3 more
wiley   +1 more source

Virtual cell: Current perspectives and future prospects. [PDF]

J Int Med Res
Li J, Zhang H, Zhang W, Li N, Zhao F, Shen G.   +5 more
europepmc   +1 more source

Toward an Efficient Shifted Cholesky QR for Applications in Model Order Reduction Using pyMOR

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Many model order reduction (MOR) methods rely on the computation of an orthonormal basis of a subspace onto which the large full order model is projected. Numerically, this entails the orthogonalization of a set of vectors. The nature of the MOR process imposes several requirements for the orthogonalization process.
Maximilian Bindhak, Art J. R. Pelling, Jens Saak   +2 more
wiley   +1 more source

Quantum-informed machine learning for predicting spatiotemporal chaos with practical quantum advantage. [PDF]

Sci Adv
Wang M, Xue X, Gao M, Coveney PV.
europepmc   +1 more source