Search for dissertations about: "spurious eigenvalues"

Found 4 swedish dissertations containing the words spurious eigenvalues.

2. 1. The Dirac Equation: Numerical and Asymptotic Analysis

   Author : Hasan Almanasreh; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Dirac operator; eigenvalue problem; finite element method; spurious eigenvalues; Petrov-Galerkin; cubic Hermite basis functions; stability parameter; meshfree method; $hp$-cloud; intrinsic enrichment; G-convergence; $ Gamma$-convergence; scattering theory; identification; wave operator; stationary approach; Dirac operator;

   Abstract : The thesis consists of three parts, although each part belongs to a specific subject area in mathematics, they are considered as subfields of the perturbation theory. The main objective of the presented work is the study of the Dirac operator; the first part concerns the treatment of the spurious eigenvalues in the computation of the discrete spectrum. READ MORE

4. 2. The Dirac Operator; From Numerics to the Theory of G-convergence

   Author : Hasan Almanasreh; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Dirac operator; spuriousity; cubic Hermitian; stability parameter; G-convergence; ¡-convergence; spectral measure; quadratic form; stability parameter;

   Abstract : We consider two main issues concerning the Dirac operator, the first is widely known as the appearance of spurious eigenvalues within the spectrum. The second is the study of the asymptotic behavior of the eigenvalues for a family of Dirac operators with oscillatory potential added to the Coulomb-Dirac Hamiltonian. READ MORE

5. 3. Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities

   Author : Parikshit Upadhyaya; Elias Jarlebring; Robert Corless; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; numerical algorithms; nonlinear eigenproblems; multiparameter eigenvalue problem; nonlinear eigenvalue problem; eigenvector nonlinearities; nepv; scf; p-laplacian; quasi-newton; Numerical Analysis; Numerisk analys;

   Abstract : Eigenproblems and their nonlinear generalizations appear as important problems in a wide variety of fields, ranging from quantum chemistry and vibration analysis to macroeconomics and data science. Hence, the development and analysis of numerical algorithms to solve such problems has a broad multiplicative effect on our ability to answer several crucial scientific questions. READ MORE

6. 4. The Texture-Transform : An Operator for Texture Detection and Discrimination

   Author : Alireza Tavakoli Targhi; Jan-Olof Eklundh; Arnold Smeulders; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Computer science; Datalogi;

   Abstract : In this thesis we present contributions related to texture detection and discrimination to be used for analyzing real world images. Many computer vision applications can benefit from a fast and low dimensional texture descriptor. READ MORE