Results 71 to 80 of about 1,499,028 (285)
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles
Studies in Applied Mathematics, Volume 150, Issue 1, Page 277-315, January 2023., 2023 Abstract This paper introduces a novel boundary integral equation (BIE) method for the numerical solution of problems of planewave scattering by periodic line arrays of two‐dimensional penetrable obstacles. Our approach is built upon a direct BIE formulation that leverages the simplicity of the free‐space Green function but in turn entails evaluation ...
Thomas Strauszer‐Caussade +3 more
wiley +1 more source
Brownian bridges for contained random walks
AIChE Journal, EarlyView.Abstract Using linear operator techniques, we demonstrate an efficient method for investigating rare events in stochastic processes. Specifically, we examine contained trajectories, which are continuous random walks that only leave a specified region of phase space after a set period of time T$$ T $$.
George Curtis +2 more
wiley +1 more source
Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory [PDF]
, 1999 The low-lying spectrum of the Dirac operator is predicted to be universal, within three classes, depending on symmetry properties specified according to random matrix theory.
R. Edwards, U. Heller, R. Narayanan
semanticscholar +1 more source
Solution of boundary value problems for batteries: Operator‐theoretic methods
AIChE Journal, EarlyView.Abstract Batteries with porous electrodes of negligible ionic and electronic conduction resistance are modeled with reaction‐diffusion equations in multilayered media. The classical separation of variables becomes inapplicable to battery problems because of nonlinearities in reaction rates and constraints of imposed current. A linear operator‐theoretic
Doraiswami Ramkrishna +1 more
wiley +1 more source
Universal Racah matrices and adjoint knot polynomials: Arborescent knots
Physics Letters B, 2016 By now it is well established that the quantum dimensions of descendants of the adjoint representation can be described in a universal form, independent of a particular family of simple Lie algebras.
A. Mironov, A. Morozov
doaj
On the analytic representation of Newtonian systems [PDF]
, 2020 We show that the theory of self-adjoint differential equations can be used to provide a satisfactory solution of the inverse variational problem in classical mechanics. A Newtonian equation when transformed to the self-adjoint form allows one to find an appropriate Lagrangian representation (direct analytic representation) for it.
arxiv +1 more source
THE ADJOINT REPRESENTATION OF QUANTUM ALGEBRA Uq(sl(2))
Journal of Nonlinear Mathematical Physics, 2009 Starting from any representation of the Lie algebra on the finite dimensional vector space V we can construct the representation on the space Aut(V). These representations are of the type of ad.
C. Burdik, O. Navrátil, S. Posta
semanticscholar +1 more source
Advanced Intelligent Discovery, EarlyView.A novel framework is proposed for simultaneous topology optimization of differentiable and non‐differentiable objectives via a data‐driven morphology learning approach. As a case study, an optimized scaffold design that simultaneously improves mechanical stiffness by 29.69% and cell growth by 37.05% on day 7 and 33.30% on day 14 is demonstrated ...
Weiming Wang +4 more
wiley +1 more source
BPS Center Vortices in Nonrelativistic SU(N) Gauge Models with Adjoint Higgs Fields
Advances in High Energy Physics, 2015 We propose a class of SU(N) Yang-Mills models, with adjoint Higgs fields, that accept BPS center vortex equations. The lack of a local magnetic flux that could serve as an energy bound is circumvented by including a new term in the energy functional ...
L. E. Oxman
doaj +1 more source
Adjoint Majorana QCD2 at finite N
Journal of High Energy Physics, 2023 The mass spectrum of 1 + 1-dimensional SU(N) gauge theory coupled to a Majorana fermion in the adjoint representation has been studied in the large N limit using Light-Cone Quantization.
Ross Dempsey +3 more
doaj +1 more source