Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 60 for “"eigenvalue problems"”.
-
Nonlinear eigenvalue problems
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.
-
Graphs, Principal Minors, and Eigenvalue Problems
… algebra: determinantal point processes, extremal problems in spectral graph theory, force-directed layouts, and eigenvalue algorithms. For determinantal point processes (DPPs), we consider the classes of symmetric and signed DPPs, respectively, and in both cases connect the problem of learning the …
-
Rational Interpolation Methods for Nonlinear Eigenvalue Problems
… the numerical treatment of nonlinear eigenvalue problems. These problems are defined by the condition $T(lambda) v = boldsymbol{0}$, with $T: C to C^{n times n}$, where we seek to compute the scalar-vector pairs, $lambda in C$ and nonzero $ v in C^{n}$. The first contribution of this …
-
Homotopy Analysis Method For Nonlinear Ordinary Eigenvalue Problems
… nonlinear initial value problem and a nonlinear eigenvalue problem. We adjust the convergence region of a solution by modifying auxiliary parameter values. The results converge in very few iterations under the proper choice of the values of auxiliary parameters. The approach is shown to be …
-
Twisted and intermediate eigenvalue problems in shape optimization
L'abstract è presente nell'allegato / the abstract is in the attachment
-
On Some Schroedinger Eigenvalue Problems From Mathematical Physics
In particular, this implies that the eigenvalues are all positive real for the potentials alphaiz3 + beta z2 + gammaiz when alpha, beta, gamma ∈ R with alpha ≠ 0 and alphagamma ≥ 0, and with the boundary conditions that u(z) decays to zero as z tends to infinity along the positive and …
-
Multilevel solution procedures for structural dynamics eigenvalue problems
… that can solve the symmetric generalized eigenvalue problem encountered in structural dynamics. First, the multigrid algorithm for solving linear matrix equations is incorporated into the subspace iteration and block Lanczos methods to produce implicit subspace and Lanczos multigrid …
-
Steklov Eigenvalue Problems on Nearly Spherical and Annular Domains
<p>We consider Steklov eigenvalues on nearly spherical and nearly annular domains in d dimensions where d is any given positive integer. By using the Green-Beltrami identity for spherical harmonic functions, the derivatives of Steklov eigenvalues with respect to the domain perturbation parameter …
-
Solution Techniques for Large Eigenvalue Problems in Structural Dynamics
This study deals with the determination of eigenvalues and eigenvectors of large algebraic systems. In particular, the methods developed are applicable to finding the natural frequencies and modes of vibration of large structural systems such as frames or continuous systems discretized in some way.
-
Sensitivity analysis and approximation methods for general eigenvalue problems
… reanalysis methods. For the algebraic eigenvalue problem involving non-hermitian matrices, algorithms for sensitivity analysis and approximate reanalysis are classified, compared and evaluated for efficiency and accuracy. Proper eigenvector normalization is discussed. An improved method …
-
Efficient Solution of Large Sparse Eigenvalue Problems in Microelectronic Simulation
… We adapt the algorithm to two important problems, the self-consistent Schrodinger-Poisson model of quantum-effect devices, and the vector Helmholtz equation for a dielectric waveguide, addressing other important physical, numerical and computational issues as they arise. An asymptotic …
-
Restarting the Lanczos algorithm for large eigenvalue problems and linear equations.
We are interested in computing eigenvalues and eigenvectors of large matrices and in solving large systems of linear equations. Restarted versions of both the symmetric and nonsymmetric Lanczos algorithms are given. For the symmetric case, we give a method called Lan-DR that simultaneously solves …
-
On a posteriori finite element bound procedures for nonsymmetric Eigenvalue problems
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1999.
-
Finite element analysis of eigenvalue problems in the stability of fluid motions
Variational eigenvalue problems for linear and energy stability theory of buoyancy-driven flow are studied. Critical Rayleigh numbers are determined by the finite element method. The penalty method is used to approximate the incompressibility condition. We consider the stability of Boussinesq flows …
-
Multivariate Rational Approximation in Action: From Data-driven Modeling to Nonlinear Eigenvalue Problems
… by deriving novel formulations of least-squares problems that incorporate interpolation constraints on scattered data sets. Several numerical experiments demonstrate the effectiveness of our proposed algorithms for reduced-order modeling problems and beyond. Further, novel theoretical results …
-
Vibrations of mechanical structures: source localization and nonlinear eigenvalue problems for mode calculation
… I introduce a method of using a nonlinear eigenvalue problem (NLEVP) to express boundary conditions of the vibrating elements so that the (infinitely many) eigenvalues of the full structure are the eigenvalues of the finite-dimensional NLEVP. The mode shapes of the structure can then be …
-
Formulation and implementation of conforming finite element approximations to static and eigenvalue problems for thin elastic shells
… element analyses of static thin elastic shell problems, the French mathematician Ciarlet (1976) proposed an approach to the formulation of such problems. The formulation he uses is based on classical shell theory making use of Kirchhoff-Koiter assumptions. The shell problem is posed in …
-
Discretization and round-off errors in the finite element analysis of elliptic boundary value problems and eigenvalue problems.
Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics. Thesis. 1971. Ph.D.
-
Computation of nodes and weights of Gaussian Quadrature rule by using Jacobi method
… analysis has become important in solving large eigenvalue problems in science and engineering due to the increasing spread of quantitative analysis. These problems occur in a wide variety of applications. Eigenvalues are very useful in engineering for the dynamic analysis of large-scale …
-
A study of the computation and convergence behavior of eigenvalue bounds for self-adjoint operators
… of finite element methods for differential eigenvalue problems. An example of a one dimensional Schrodinger operator with a potential is presented which arises in quantum mechanics. Examples using the recent eigenvector-free (EVF) method of Beattie and Goerisch are considered. Since the EVF …
Page 1 of 3