Results 51 to 60 of about 36,154 (311)
FEAST for Differential Eigenvalue Problems [PDF]
SIAM Journal on Numerical Analysis, 2020 Expanded discussion for clarity in several places, revised statement of theorem 5.2 for ...
Andrew J. Horning, Alex Townsend
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Advanced Robotics Research, EarlyView.Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds +2 more
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International Journal of Mathematics and Mathematical Sciences, 1979 We show in this paper that the sequence {max|uk|}, where the uk are the eigenfunctions of the problem Δu+λu=0 in D⊂Rn and u=0 on ∂D, is not bounded generally if one imposes the norm ∫Du2p(x)dx=1, p=(1),2,3,….
Yves Biollay
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Numerical Solutions of Quantum Mechanical Eigenvalue Problems
Frontiers in Physics, 2020 A large class of problems in quantum physics involve solution of the time independent Schrödinger equation in one or more space dimensions. These are boundary value problems, which in many cases only have solutions for specific (quantized) values of the ...
Asif Mushtaq +2 more
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Triple‐Mode Ferroelectric Thin‐Film Transistor for Hybrid Electrical–Optical Reservoir Computing
Advanced Science, EarlyView.A triple‐mode ferroelectric thin‐film transistor is developed by integrating Si3N4/HZO/IGZO layers to realize three independent memory modes: electric long‐term, electric short‐term, and optical short‐term. This single‐device architecture functions as both a reservoir and readout layer, achieving 92.43% MNIST accuracy. It offers a fully hardware‐based,
Hyeonho Lee +9 more
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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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On a double eigenvalue problem [PDF]
Proceedings of the American Mathematical Society, 1954 where X = -1. Rembs [3] demonstrated the existence of a countably infinite set of such a's under the assumption that the functions p, q, and r are analytic on the interval [0, b], that q>0 and r >0 on the interval, and that p >0 on the open interval, but vanishes to the first order at each end.
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Helical Electron Beam Micro‐Bunching by High‐Order Modes in a Micro‐Plasma Waveguide
Advanced Science, EarlyView.ABSTRACT Electron acceleration by a high‐power Laguerre‐Gaussian pulse in a micro‐plasma waveguide is investigated. When the incident laser travels in the waveguide, electrons on the wall are extracted into the vacuum core and accelerated by the longitudinal field of the waveguide mode.
Xingju Guo, Longqing Yi
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Green functions for four-point boundary value problems with applications to heterogeneous beams
Applications in Engineering ScienceThe main objective of this study is to define the Green functions for four-point boundary value problems. It is a further aim to clarify what properties the Green functions have and to present a method for calculating the elements of these Green ...
Abderrazek Messaoudi +2 more
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On minmax characterization in non-linear eigenvalue problems
Bruno Pini Mathematical Analysis Seminar, 2022 This is a note based on the paper [20] written in collaboration with N. Fusco and Y. Zhang. The main goal is to introduce minimax type variational characterization of non-linear eigenvalues of the p-Laplacian and other results related to shape and ...
Shirsho Mukherjee
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