Acoustic scattering in waveguides that are discontinuous in geometry and material property [PDF]
, 2002 The scattering of acoustic waves at the discontinuity between two ducts of different heights is considered. At least one of the ducts is bounded by a membrane and, thus, the underlying eigenproblem is non-Sturm–Liouville. A mode-matching procedure, based
Lawrie, JB, Mohamed, IM, Warren, DP
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Squeezed States and Helmholtz Spectra [PDF]
, 1997 The 'classical interpretation' of the wave function psi(x) reveals an interesting operational aspect of the Helmholtz spectra. It is shown that the traditional Sturm-Liouville problem contains the simplest key to predict the squeezing effect for charged ...
Ammann +32 more
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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
wiley +1 more source
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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On CP, LP and other piecewise perturbation methods for the numerical solution of the Schrödinger equation [PDF]
, 2011 The piecewise perturbation methods (PPM) have proven to be very efficient for the numerical solution of the linear time-independent Schrödinger equation.
Ledoux, Veerle, Van Daele, Marnix
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Port reduction in parametrized component static condensation: approximation and a posteriori error estimation [PDF]
, 2013 We introduce a port (interface) approximation and a posteriori error bound framework for a general component-based static condensation method in the context of parameter-dependent linear elliptic partial differential equations. The key ingredients are as
Eftang, Jens L., Patera, Anthony T.
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, 2012 Expansion of a wave function in a basis of eigenfunctions of a differential eigenvalue problem lies at the heart of the R-matrix methods for both the Schr\"odinger and Dirac particles.
Al-Gwaiz M. A. +7 more
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Polynomial Lie algebra methods in solving the second-harmonic generation model: some exact and approximate calculations [PDF]
, 2001 We compare exact and SU(2)-cluster approximate calculation schemes to determine dynamics of the second-harmonic generation model using its reformulation in terms of a polynomial Lie algebra $su_{pd}(2)$ and related spectral representations of the model ...
A.A. Gusev +45 more
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KurSL: model of anharmonic coupled oscillations based on Kuramoto coupling and Sturm–Liouville problem [PDF]
, 2018 Physiological signaling is often oscillatory and shows nonlinearity due to complex interactions of underlying processes or signal propagation delays.
Cohen L. +7 more
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