Results 11 to 20 of about 66,006 (78)
Inverse spectral problems for Sturm–Liouville operators with partial information [PDF]
, 2014 In this paper, we study the inverse spectral problems for Sturm–Liouville operators with Robin boundary conditions and show that if the potential q on the interval [0,α] for some α∈[0,1) is given a priori, then the potential q on the whole interval [0,1]
Wang, Yu-Ping; Shieh, Chung-Tsun; Ma, Yan-Ting +1 more
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On a fractional Sturm-Liouville problem in higher dimensions [PDF]
, 2023 In this short paper, we consider an n-dimensional fractional Sturm-Liouville eigenvalue problem, by using fractional versions of the gradient operator involving left Caputo and right Riemann-Liouville fractional derivatives.
Ferreira, M. +2 more
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, 2021 In Chap. 3 we have seen how the separability of PDEs leads to ordinary differential equations problems, usually of second order. The problem is complemented with B.C.s and the reduction of the initial PDE to second order ODEs often yield a so-called
Cossali G., Tonini S.
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Spectral Collocation Solutions to Second Order Singular Sturm-Liouville Eigenproblems
CoRR, 2020 We comparatively use some classical spectral collocation methods as well as highly performing Chebfun algorithms in order to compute the eigenpairs of second order singular Sturm-Liouville problems with separated self-adjoint boundary conditions. For both the limit-circle non oscillatory and oscillatory cases we pay a particular attention.
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Complex coordinate methods for hydrodynamic instabilities and Sturm-Liouville eigenproblems with an interior singularity [PDF]
Journal of Computational Physics, 1985 Calculations of inviscid, linearized waves in fluids are very difficult when a mean wind or current U(y) is included because the differential equation is singular wherever \(U(y)=c\), the phase speed. These ``critical latitude'', ``critical level'', or ``critical point'' singularities are particularly severe for Chebyshev methods since these global ...
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A Globally Convergent Inexact Newton‐Like Cayley Transform Method for Inverse Eigenvalue Problems
Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013 We propose an inexact Newton method for solving inverse eigenvalue problems (IEP). This method is globalized by employing the classical backtracking techniques. A global convergence analysis of this method is provided and the R‐order convergence property is proved under some mild assumptions.
Yonghui Ling +2 more
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Discontinuous Sturm‐Liouville Problems and Associated Sampling Theories
Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011 This paper investigates the sampling analysis associated with discontinuous Sturm‐Liouville problems with eigenvalue parameters in two boundary conditions and with transmission conditions at the point of discontinuity. We closely follow the analysis derived by Fulton (1977) to establish the needed relations for the derivations of the sampling theorems ...
M. M. Tharwat, Yuming Shi
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Finite Dynamic Elements and Modal Analysis
Shock and Vibration, Volume 1, Issue 2, Page 171-176, 1993., 1993 A general modal analysis scheme is derived for forced response that makes use of high accuracy modes computed by the dynamic element method. The new procedure differs from the usual modal analysis in that the modes are obtained from a power series expansion for the dynamic stiffness matrix that includes an extra dynamic correction term in addition to ...
N.J. Fergusson, W.D. Pilkey
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MASALAH STURM -LIOUVILLE [PDF]
, 1995 Masalah sturm-Liouville terdiri atas masalah Sturm-Liouville regular dan singular. Dalam masalah sturm-Liouville regular koefisien-koefisien persamaannya kontinu pada interyal tertutup [a~b].
IRMA MARIA KUSUMA SAWITRI MILIK, 088910668
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Nonrelativistic Quantum Dynamics in a Twisted Screw Spacetime
UniverseWe investigate the nonrelativistic quantum dynamics of a spinless particle in a screw-type spacetime endowed with two independent twist controls that interpolate between a pure screw dislocation and a homogeneous twist.
Faizuddin Ahmed, Edilberto O. Silva
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