Results 61 to 70 of about 129,784 (278)

Recursive integral method for transmission eigenvalues

, 2015
Recently, a new eigenvalue problem, called the transmission eigenvalue problem, has attracted many researchers. The problem arose in inverse scattering theory for inhomogeneous media and has important applications in a variety of inverse problems for ...
Huang, Ruihao, Struthers, Allan A., Sun, Jiguang, Zhang, Ruming   +3 more
core   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Eigenvalue problems for degenerate nonlinear elliptic equations in anisotropic media

Boundary Value Problems, 2005
We study nonlinear eigenvalue problems of the type −div(a(x)∇u)=g(λ,x,u) in ℝN, where a(x) is a degenerate nonnegative weight. We establish the existence of solutions and we obtain information on qualitative properties as multiplicity ...
Vicenţiu RăDulescu, Dumitru Motreanu   +1 more
doaj   +2 more sources

Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning

Advanced Intelligent Discovery, EarlyView.
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley   +1 more source

Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods [PDF]

GAMM-Mitteilungen, 2004
AbstractWe discuss the state of the art in numerical solution methods for large scale polynomial or rational eigenvalue problems. We present the currently available solution methods such as the Jacobi‐Davidson, Arnoldi or the rational Krylov method and analyze their properties.
Mehrmann, Volker, Voss, Heinrich
openaire   +1 more source

Hybrid TE-TE-wave propagation in closed plane waveguide filled with nonlinear medium

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022
Background. Analysis of new modes of wave propagation in planar nonlinear waveguide structures constitutes an important class of electromagnetic problems and leads to the emergence of new problem statements.
V.Yu. Martynova
doaj   +1 more source

Dynamics of Controlled Hybrid Systems of Aerial Cable-Ways

, 2006
Dynamics of the hybrid systems of aerial cable-ways is investigated. The eigenvalue problems are considered for such hybrid systems with different assumptions. An overview of different methods for eigenvalue problems is given. In the research, the method
Akulenko, Delfim F.M. Torres, Gould, Kuhta, Kukhta, Motreanu, Mul, Mul, Mul, Olena V. Mul, Sloss, Volodymyr P. Kravchenko   +11 more
core   +1 more source

Robust Reinforcement Learning Control Framework for a Quadrotor Unmanned Aerial Vehicle Using Critic Neural Network

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
Quadrotor unmanned aerial vehicle control is critical to maintain flight safety and efficiency, especially when facing external disturbances and model uncertainties. This article presents a robust reinforcement learning control scheme to deal with these challenges.
Yu Cai, Yefeng Yang, Tao Huang, Boyang Li   +3 more
wiley   +1 more source

NON LINEAR EIGENVALUE PROBLEMS

Matemática Contemporânea, 2004
In this paper we consider generalized eigenvalue problems for a family of operators with a polynomial dependence on a complex parameter. This problem is equivalent to a genuine non self-adjoint operator. We discuss here existence of non trivial eigenstates for models coming from analytic theory of smoothness for P.D.E.
openaire   +3 more sources

Multiplicity of symmetric solutions for a nonlinear eigenvalue problem in $R^n$

Electronic Journal of Differential Equations, 2005
In this paper, we study the nonlinear eigenvalue field equation $$ -Delta u+V(|x|)u+varepsilon(-Delta_p u+W'(u))=mu u $$ where $u$ is a function from $mathbb{R}^n$ to $mathbb{R}^{n+1}$ with $ngeq 3$, $varepsilon$ is a positive parameter and $p$ greater
Daniela Visetti
doaj