Results 21 to 30 of about 8,983 (77)
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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On a Partial Fractional Hybrid Version of Generalized Sturm–Liouville–Langevin Equation
Fractal and Fractional, 2022 As we know one of the most important equations which have many applications in various areas of physics, mathematics, and financial markets, is the Sturm–Liouville equation.
Zohreh Heydarpour +4 more
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Iso-bispectral potentials for Sturm–Liouville-type operators with small delay [PDF]
, 2021 The paper addresses nonlinear inverse Sturm–Liouville-type problems with constant delay. Since many processes in the real world possess nonlocal nature, operators with delay as well as other classes of nonlocal operators are continuously finding numerous
Nebojvsa Djuri'c, S. Buterin
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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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Boundary Value Problems, 2021 In this article, we consider the existence of solutions to the Sturm–Liouville differential equation with random impulses and boundary value problems.
Zi-yan Li, X. Shu, Tengyuan Miao
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Spectral Collocation Solutions to Second Order Singular Sturm-Liouville Eigenproblems
, 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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On an open question in recovering Sturm-Liouville-type operators with delay
Applied Mathematics Letters, 2021 In recent years, there appeared a considerable interest in the inverse spectral theory for functional-differential operators with constant delay.
Nebojša Djurić, S. Buterin
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A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus
Journal of Function Spaces, 2021 In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some ...
Sertac Goktas
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