Results 11 to 20 of about 8,983 (77)
Mathematical software for Sturm-Liouville problems
ACM Transactions on Mathematical Software, 1993 S. Pruess, C. Fulton
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A Chebyshev Spectral Method for Normal Mode and Parabolic Equation Models in Underwater Acoustics
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 In this paper, the Chebyshev spectral method is used to solve the normal mode and parabolic equation models of underwater acoustic propagation, and the results of the Chebyshev spectral method and the traditional finite difference method are compared for an ideal fluid waveguide with a constant sound velocity and an ideal fluid waveguide with a deep ...
Houwang Tu +6 more
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A practical method for recovering Sturm–Liouville problems from the Weyl function [PDF]
Inverse Problems, 2021 In the paper we propose a direct method for recovering the Sturm–Liouville potential from the Weyl–Titchmarsh m-function given on a countable set of points.
V. Kravchenko, S. Torba
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Partial Inverse Sturm-Liouville Problems
Mathematics, 2023 This paper presents a review of both classical and modern results pertaining to partial inverse spectral problems for differential operators. Such problems consist in the recovery of differential expression coefficients in some part of the domain (a ...
N. Bondarenko
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Inverse Sturm–Liouville Problem with Spectral Parameter in the Boundary Conditions
Mathematics, 2023 In this paper, for the first time, we study the inverse Sturm–Liouville problem with polynomials of the spectral parameter in the first boundary condition and with entire analytic functions in the second one.
N. Bondarenko, E. E. Chitorkin
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Algebraic evaluation of matrix elements in the Laguerre function basis [PDF]
, 2016 The Laguerre functions constitute one of the fundamental basis sets for calculations in atomic and molecular electron-structure theory, with applications in hadronic and nuclear theory as well.
A. McCoy, M. Caprio
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Entropy, 2022 In this paper, we study the fractional Sturm–Liouville problem with homogeneous Neumann boundary conditions. We transform the differential problem to an equivalent integral one on a suitable function space.
M. Klimek, M. Ciesielski, T. Blaszczyk
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Optimal control problems of parabolic fractional Sturm-Liouville equations in a star graph [PDF]
Mathematical Control & Related Fields, 2021 In the present paper we deal with parabolic fractional initial-boundary value problems of Sturm–Liouville type in an interval and in a general star graph. We first give several existence, uniqueness and regularity results of weak and very-weak solutions.
G. Leugering +3 more
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Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole
Advances in Mathematical Physics, Volume 2018, Issue 1, 2018., 2018 We investigate the existence of multivortex states in a superconducting mesoscopic sphere with a magnetic dipole placed at the center. We obtain analytic solutions for the order parameter Ψ(r→) inside the sphere through the linearized Ginzburg‐Landau (GL) model, coupled with mixed boundary conditions, and under regularity conditions and decoupling ...
A. Ludu, Alexander Iomin
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Journal of Computational and Applied Mathematics, 2004 The authors present a method for determining the eigenvalues of a Sturm-Liouville problem based on extrapolation from the discrepancy at the middle of the interval when shooting from both ends. Numerical examples are given.
GHELARDONI, PAOLO +2 more
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