Results 61 to 70 of about 30,879 (264)
Results in Applied MathematicsThe differential operator eigenvalue problems often arise in the field of physics and engineering, such as solid band structure, electron orbitals of atoms or molecules, and quantum bound states.
Jiaoxia Huang, Yonghui Qin
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Choptuik Spacetime as an Eigenvalue Problem [PDF]
Physical Review Letters, 1995 Review section rewritten; sign error in equation (4), error concerning non-minimally coupled scalar field, one typo in table corrected, references added. To be published in Phys.
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Agribusiness, EarlyView.ABSTRACT Sustainability labels can help support consumers select more socially and environmentally friendly options, thereby enhancing returns for conscientious producers and promoting the transition to a more sustainable food system. However, consumer confusion regarding labels' meaning undermines their effectiveness.
Monika Hartmann +4 more
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Solving Overdetermined Eigenvalue Problems [PDF]
SIAM Journal on Scientific Computing, 2013 We propose a new interpretation of the generalized overdetermined eigenvalue problem $\left({\bf A} - \lambda {\bf B}\right){\bf v} \approx 0$ for two $m\times n$ ($m > n$) matrices ${\bf A}$ and ${\bf B}$, its stability analysis, and an efficient algorithm for solving it.
Saptarshi Das, Arnold Neumaier
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Advanced Intelligent Discovery, EarlyView.This study integrates random matrix theory (RMT) and principal component analysis (PCA) to improve the identification of correlated regions in HIV protein sequences for vaccine design. PCA validation enhances the reliability of RMT‐derived correlations, particularly in small‐sample, high‐dimensional datasets, enabling more accurate detection of ...
Mariyam Siddiqah +3 more
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A one dimensional Hammerstein problem
Electronic Journal of Differential Equations, 1999 Nonlinear equations of the form $L[u]=lambda g(u)$ where $L$ is a linear operator on a function space and $g$ maps $u$ to the composition function $gcirc u$ arise in the theory of spontaneous combustion.
Jun Hua, James L. Moseley
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Mathematics, 2020 This paper uses a locking-free nonconforming Crouzeix–Raviart finite element to solve the planar linear elastic eigenvalue problem with homogeneous pure displacement boundary condition. Making full use of the Poincaré inequality, we obtain the guaranteed
Xuqing Zhang, Yu Zhang, Yidu Yang
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
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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
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On a Fourth-Order Boundary Value Problem at Resonance
Journal of Function Spaces, 2017 We investigate the spectrum structure of the eigenvalue problem u4x=λux, x∈0,1; u0=u1=u′0=u′1=0. As for the application of the spectrum structure, we show the existence of solutions of the fourth-order boundary value problem at resonance -u4x+λ1ux+gx ...
Man Xu, Ruyun Ma
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