Results 51 to 60 of about 629 (136)

Inf‐Sup Stable Non‐Conforming Finite Elements on Tetrahedra With Second‐ and Third‐Order Accuracy

open access: yesNumerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT We introduce a family of scalar non‐conforming finite elements with second‐ and third‐order accuracy with respect to the H1$$ {H}^1 $$‐norm on tetrahedra. Their vector‐valued versions generate, together with discontinuous pressure approximations of order one and two, respectively, inf‐sup stable finite element pairs with convergence order two ...
Loïc Balazi   +3 more
wiley   +1 more source

A Non‐Intrusive Efficient Two‐Step Model Reduction Method for Large‐Scale Thin‐Walled Acoustic Indirect BEM Systems

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.
ABSTRACT Performing frequency sweep analysis for acoustic performance prediction using the boundary element method (BEM) is associated with high computational costs as the associated system matrices are dense and frequency‐dependent. While model order reduction (MOR) techniques, such as Krylov subspace recycling, have been proposed for direct BEM ...
Philip Le   +2 more
wiley   +1 more source

Sensitivity of Perron and Fiedler Eigenpairs to Structural Perturbations of a Network

open access: yesNumerical Linear Algebra with Applications, Volume 32, Issue 5, October 2025.
ABSTRACT One can estimate the change of the Perron and Fiedler values for a connected network when the weight of an edge is perturbed by analyzing relevant entries of the Perron and Fiedler vectors. This is helpful for identifying edges whose weight perturbation causes the largest change in the Perron and Fiedler values.
Silvia Noschese, Lothar Reichel
wiley   +1 more source

Stochastic estimation of nuclear level density in the nuclear shell model: An application to parity-dependent level density in 58Ni

open access: yesPhysics Letters B, 2016
We introduce a novel method to obtain level densities in large-scale shell-model calculations. Our method is a stochastic estimation of eigenvalue count based on a shifted Krylov-subspace method, which enables us to obtain level densities of huge ...
Noritaka Shimizu   +5 more
doaj   +1 more source

A Time-Segmented SAI-Krylov Subspace Approach for Large-Scale Transient Electromagnetic Forward Modeling

open access: yesApplied Sciences
After nearly two decades of development, transient electromagnetic (TEM) 3D forward modeling technology has significantly improved both numerical precision and computational efficiency, primarily through advancements in mesh generation and the ...
Ya’nan Fan   +3 more
doaj   +1 more source

Extended block Hessenberg method for large-scale Sylvester differential matrix equations [PDF]

open access: yesJournal of Mahani Mathematical Research
In this paper, we consider large-scale low-rank Sylvester differential matrix equations. We present two iterative methods for the approximate solution of such differential matrix equations. In the first method, exploiting the extended block Krylov method,
Azita Tajaddini
doaj   +1 more source

Developing Hessian–Free Second–Order Adversarial Examples for Adversarial Training

open access: yesInternational Journal of Applied Mathematics and Computer Science
Recent studies show that deep neural networks (DNNs) are extremely vulnerable to elaborately designed adversarial examples. Adversarial training, which uses adversarial examples as training data, has been proven to be one of the most effective methods of
Qian Yaguan   +5 more
doaj   +1 more source

Krylov complexity in the Schrödinger field theory

open access: yesJournal of High Energy Physics
We investigate the Krylov complexity of Schrödinger field theories, focusing on both bosonic and fermionic systems within the grand canonical ensemble which includes a chemical potential.
Peng-Zhang He, Hai-Qing Zhang
doaj   +1 more source

Stochastic estimation of level density in nuclear shell-model calculations

open access: yesEPJ Web of Conferences, 2016
An estimation method of the nuclear level density stochastically based on nuclear shell-model calculations is introduced. In order to count the number of the eigen-values of the shell-model Hamiltonian matrix, we perform the contour integral of the ...
Shimizu Noritaka   +5 more
doaj   +1 more source

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