Results 91 to 100 of about 20,411 (217)
A family of Fourier transform\u27s eigenfunctions
This paper presents a family of Fourier eigenfunctions indexed by the space dimension d. These eigenfunctions are radial and built upon some generalized exponential integral function.
Garbit, Rodolphe, Zinoune, Julien-Bilal
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Pointwise Bounds for Steklov Eigenfunctions
, 2019 Let (Ω,g) be a compact, real-analytic Riemannian manifold with real-analytic boundary ∂Ω. The harmonic extensions of the boundary Dirichlet-to-Neumann eigenfunctions are called Steklov eigenfunctions.
Galkowski, J, Toth, JA
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NUMERICAL METHODS FOR DISCONTINUOUS STURM-LIOUVILLE PROBLEMS
Journal of New Theory, 2015 − This study is devoted to determining the eigenvalues and eigenfunctions of a discontinuous Sturm-Liouville Problem. By modifying the finite difference method, we have developed anumerical approximation to the eigenvalues and ...
Zulfigar Akdogan, Savas Kunduracı
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Karpatsʹkì Matematičnì Publìkacìï, 2018 We study a problem with periodic boundary conditions for a $2n$-order differential equation whose coefficients are non-self-adjoint operators. It is established that the operator of the problem has two invariant subspaces generated by the involution ...
Ya.O. Baranetskij +3 more
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Tables of Heine Eigenfunctions II [PDF]
Heine functions are the solutions of the Heine differential equations, which have two forms, algebraic and Jacobian. The boundary conditions that the functions and their derivatives are bounded at the ends of interval give eigenvalues and eigenfunctions.
Aikawa, Kosaku, Miyoshi, Osamu
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Tables of Heine Eigenfunctions I [PDF]
Heine functions are the solutions of the Heine differential equations, which have two forms, algebraic and Jacobian. The boundary conditions that the functions and their derivatives are bounded at the ends of interval give eigenvalues and eigenfunctions.
Aikawa, Kosaku, Miyoshi, Osamu
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Neural Representation of Shape-Dependent Laplacian Eigenfunctions [PDF]
The eigenfunctions of the Laplace operator are essential in mathematical physics, engineering, and geometry processing. Typically, these are computed by discretizing the domain and performing eigendecomposition, tying the results to a specific mesh ...
Grinspun, Eitan +4 more
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Biorthogonality condition for axisymmetric stokes flow in spherical geometries
International Journal of Mathematics and Mathematical Sciences, 2000 We derive the biorthogonality condition for axisymmetric Stokes flow in a region between two concentric spheres. This biorthogonality condition is a property satisfied by the eigenfunctions and adjoint eigenfunctions, which is needed to compute the ...
S. A. Khuri
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About the spectral problem arising from robotic manipulator mechanics
Моделирование и анализ информационных систем, 2009 A spectral boundary problem of special type containing a spectral parameter in the boundary condition is completely solved in this paper. The characteristic equation for spectrum points determination is obtained, the energy innerproduct is derived, and ...
V. I. Voytitsky +2 more
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Symmetry, Integrability and Geometry: Methods and Applications, 2007 There exists a large class of quantum many-body systems of Calogero-Sutherland type where all particles can have different masses and coupling constants and which nevertheless are such that one can construct a complete (in a certain sense) set of exact ...
Edwin Langmann
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