Results 41 to 50 of about 53,900 (153)

Homogeneous Multigrid for Hybrid Discretizations: Application to HHO Methods

Numerical Methods for Partial Differential Equations, Volume 41, Issue 5, September 2025.
ABSTRACT We prove the uniform convergence of the geometric multigrid V‐cycle for hybrid high‐order (HHO) and other discontinuous skeletal methods. Our results generalize previously established results for HDG methods, and our multigrid method uses standard smoothers and local solvers that are bounded, convergent, and consistent.
Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp   +4 more
wiley   +1 more source

Application of conserved quantities using the formal Lagrangian of a nonlinear integro partial differential equation through optimal system of one-dimensional subalgebras in physics and engineering

Open Physics
This research article analytically investigates a soliton equation of high dimensions, particularly with applications, and precisely in the fields of physical sciences and engineering.
Adeyemo Oke Davies, Khalique Chaudry Masood   +1 more
doaj   +1 more source

Deformations of Lie 2-algebras

, 2013
In this paper, we consider deformations of Lie 2-algebras via the cohomology theory. We prove that a 1-parameter infinitesimal deformation of a Lie 2-algebra $\g$ corresponds to a 2-cocycle of $\g$ with the coefficients in the adjoint representation. The
Liu, Zhangju, Sheng, Yunhe, Zhang, Tao
core   +1 more source

Quantum Computing in Industrial Internet of Things (IIoT) Forensics: Framework, Implications, Opportunities, and Future Directions

WIREs Forensic Science, Volume 7, Issue 3, September 2025.
Generic Quantum‐Safe IIoT Forensics Framework (QS‐IIoT‐F) ABSTRACT The continuous evolution of quantum computing has shown novel and transformative possibilities and critical implications for the Industrial Internet of Things (IIoT) forensic processes.
Victor R. Kebande
wiley   +1 more source

Four-Dimensional Spin Foam Perturbation Theory

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We define a four-dimensional spin-foam perturbation theory for the BF-theory with a B∧B potential term defined for a compact semi-simple Lie group G on a compact orientable 4-manifold M.
João Faria Martins, Aleksandar Mikovic
doaj   +1 more source

Nonsymmetric Askey–Wilson Shift Operators

Studies in Applied Mathematics, Volume 155, Issue 3, September 2025.
ABSTRACT We classify the shift operators for the symmetric Askey–Wilson polynomials and construct shift operators for the nonsymmetric Askey–Wilson polynomials using two decompositions of nonsymmetric Askey–Wilson polynomials in terms of symmetric ones. These shift operators are difference–reflection operators, and we discuss the conditions under which
Max van Horssen, Philip Schlösser
wiley   +1 more source

Solving Particle–Antiparticle and Cosmological Constant Problems

Axioms
We solve the particle-antiparticle and cosmological constant problems proceeding from quantum theory, which postulates that: various states of the system under consideration are elements of a Hilbert space H with a positive definite metric; each physical
Felix M. Lev
doaj   +1 more source

Optimally defined Racah-Casimir operators for su(n) and their eigenvalues for various classes of representations

, 2000
This paper deals with the striking fact that there is an essentially canonical path from the $i$-th Lie algebra cohomology cocycle, $i=1,2,... l$, of a simple compact Lie algebra $\g$ of rank $l$ to the definition of its primitive Casimir operators $C ...
A. J. Macfarlane, de Azcárraga J.A., Dynkin E.B., J. A. de Azcárraga, Kuriyan J.G., Macfarlane A.J., Macfarlane A.J., Okubo S., Patera J., Sudbery A., van Ritbergen T.   +10 more
core   +2 more sources

On fixed‐point‐free involutions in actions of finite exceptional groups of Lie type

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract Let G$G$ be a nontrivial transitive permutation group on a finite set Ω$\Omega$. By a classical theorem of Jordan, G$G$ contains a derangement, which is an element with no fixed points on Ω$\Omega$. Given a prime divisor r$r$ of |Ω|$|\Omega |$, we say that G$G$ is r$r$‐elusive if it does not contain a derangement of order r$r$. In a paper from
Timothy C. Burness, Mikko Korhonen
wiley   +1 more source

Cohomologies of Lie Algebras of Vector Fields with Coefficients In Adjoint Representations Foliated Case

Publications of the Research Institute for Mathematical Sciences, 1978
Let M be a smooth manifold, and ^l(M) the infinite dimensional Lie algebra of all smooth vector fields on M. Let 91 be 9l(M) or a certain natural subalgebra of it. We arc interested in the cohomology #*(9l; V) of $1 with coefficients in some representation V9 which is an invariant of the Lie algebra 21. In 1968, I. M. Gel'fand and D. B.
openaire   +3 more sources