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Showing 1 to 17 of 17 for “"sturm-liouville"”.
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Variational Methods for p-Laplacian Sturm-Liouville Problems
In this work we address the problem of eigencurves for the p-Laplacian operator on [0,1]. First we examine the simple case where p=2. Next, we prove the existence and several properties of the first eigencurve and its corresponding eigenfunction. In chapters 4 and 5, the nonhomogeneous case is …
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Sturm-Liouville estimates for the spectrum and Cheeger constant
… of Agol’s result and also generalize it using Sturm-Liouville theory. Under the same assumptions on M, we are able to give upper bounds on the higher eigenvalues of M , λ_k(M), in terms of the eigenvalues of a Sturm-Liouville problem which depends on h(M). We then compare the Weyl asymptotic of …
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Numerical Solution of Sturm–Liouville Problems via Fer Streamers
… the eigenvalues and eigenfunctions of regular Sturm–Liouville problems, given in Liouville’s normal form, defined on compact intervals, with self-adjoint separated boundary conditions. These are classical problems in computational mathematics which lie on the interface between numerical …
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A Numerical Solution to A Class of Sturm-Liouville Systems
Made available in DSpace on 2014-12-05T21:50:03Z (GMT). No. of bitstreams: 1 0013486.pdf: 1009662 bytes, checksum: c5a57928b9b99adcc4f9d3ff1af28651 (MD5) Previous issue date: 1955
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Study of special algorithms for solving Sturm-Liouville and Schrodinger equations
… van numerieke methoden voor het oplossen van Sturm-Liouville en Schrodinger vergelijkingen. Ook de Matlab-implementatie van de methoden wordt besproken.
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On the parametrization of self-adjoint extensions of singular Sturm-Liouville operators
… extensions of a lower semi-bounded minimal Sturm–Liouville operator are parametrized using generalized boundary values defined by fixed choices of special nonoscillatory solutions, called principal and nonprincipal solutions. However, principal and nonprincipal solutions are not unique, and …
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Optimization for a Sturm--Liouville problem with the spectral parameter in the boundary condition
… an optimal mass of a structure described by a Sturm-Liouville (S-L) problem with a spectral parameter in the boundary conditions. While previous work on the subject focused on a somewhat simplified model, we consider a more general S-L problem. We use the calculus of variations approach to …
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Curve Sketching
… as an extension of Eigencurves for Two-Parameter Sturm-Liouville Equations by Binding and Volkmer. Facts about specific sequences of eigenvalues of linear equations developed in Bases and Comparison Results for Linear Elliptic Eigenproblems by Auchmuty are used in order to characterize $( \lambda, …
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Relativistic neutron stars in general relativity and fourth order gravity
… with the frequencies of the neutron star's Sturm-Liouville problem. The efficiency of the IMEX scheme as compared to other methods such as fully implicit schemes or adaptive methods makes it ideal for implementation in fully 3D numerical relativity codes for modified gravity.
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Closed form solution of the wave equation for piles
… δ < L/c) and a Fourier series solution of the Sturm-Liouville problem thereafter. This solution is applied both to undamped and damped wave equations. The work includes comparison with existing numerical methods such as WEAP87, ANSYS, and Newmark’s method using Maple V.
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Numerical evaluation of wavenumbers of the acoustic waves propagating in an ice-covered ocean
… method of separation of variables leads to a Sturm-Liouville problem in the crosssection of the waveguide. We are specifically interested in the two leading modes, the separated solutions for the maximal eigenvalues. We first consider the homogeneous waveguide. We prove the differentiability …
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Space-Charge Saturation and Current Limits in Cylindrical Drift Tubes and Planar Sheaths
… Poisson's equation is transferred to solving a Sturm-Liouville eigenvalue problem, which is easily solved by elementary methods. In general, the resulting eigenvalue, which is required to estimate the limiting current, must be numerically determined. However, analytic expressions can be found …
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Geometrical approximation methods for the discrete spectra of Schrödinger operators
… from non-relativistic quantum mechanics and the Sturm-Liouville theory. We develop practical techniques to obtain reliable bounds for the eigenvalues of the Schrödinger operator [Special characters omitted.] . We introduce a three-parameter variational function, to determine an upper bound to …
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Quantum Algorithms and Complexity for Numerical Problems
… system, which is also known as the multivariate Sturm-Liouville eigenvalue problem. Since the cost of this problem grows exponentially with the number of particles using deterministic classical algorithms, it suffers from the curse of dimensionality. Quantum computers can vanquish the curse, and …
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Application of Lie Groups and Approximate Coordinate Functions in Nuclear Engineering
Made available in DSpace on 2017-07-06T18:56:00Z (GMT). No. of bitstreams: 3 Ramsey_Scott_D_MS.pdf: 73305760 bytes, checksum: eb41d45b0d8620e9c75cf17acd0c936e (MD5) Ramsey_Scott_D_MS_ABS.pdf: 1036683 bytes, checksum: cfb9ec1ba27af3afe2a15ad7a5f824bf (MD5) license.txt: 4813 bytes, checksum: …