Results 41 to 50 of about 19,790 (125)
Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley +1 more source
Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley +1 more source
Positive contractive projections on noncommutative $\mathrm{L}^p$-spaces
In this paper, we prove the first theorems on contractive projections on general noncommutative $\mathrm{L}^p$-spaces associated with non-type I von Neumann algebras where $1 < p < \infty$.
Arhancet, Cédric
core
ABSTRACT As artificial intelligence (AI) increasingly impacts professional practice, higher education requires new frameworks for integrating AI competencies into degree programs. At the same time, systematic approaches to designing domain‐specific AI programs are underexplored in research.
Johannes Schleiss +4 more
wiley +1 more source
On cardinal invariants and generators for von Neumann algebras
We demonstrate how virtually all common cardinal invariants associated to a von Neumann algebra M can be computed from the decomposability number, dec(M), and the minimal cardinality of a generating set, gen(M).
Akemann +45 more
core +1 more source
Agricultural intensification and the increasing use of fertilizers and irrigation have significantly improved crop productivity but have also led to growing concerns over groundwater contamination and inefficient water usage. When solutes like nitrates and pesticides seep past the root zone, they not only deplete soil fertility but also endanger the ...
Wubale Demis Alamirew, Ephrem Yetbarek
wiley +1 more source
ABSTRACT Nonlinear mechanical vibrations under harmonic forcing can be well approximated by Fourier series. For a finite number of harmonics, the error is minimized over one period of vibration. This technique, known as multiharmonic balance method (MHBM), is today widely used in academics as well as industrial applications, e.g., for friction‐damped ...
Sebastian Tatzko +2 more
wiley +1 more source
Digital Twin Simulations Toolbox of the Nitrogen‐Vacancy Center in Diamond
The Nitrogen‐vacancy (NV) center in diamond is a key platform within quantum technologies. This work introduces a Python based digital‐twin of the NV, where the spin dynamics of the system is simulated without relying on commonly used approximations, such as the adoption of rotating frame. The digital‐twin is validated through three different examples,
Lucas Tsunaki +3 more
wiley +1 more source
The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2
Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito +2 more
wiley +1 more source
Harmonic maps to the circle with higher dimensional singular set
Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley +1 more source

