Sökning: "eigenvalue"

Visar resultat 6 - 10 av 121 avhandlingar innehållade ordet eigenvalue.

1. 6. Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities

   Författare :Parikshit Upadhyaya; Elias Jarlebring; Robert Corless; KTH; []
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

3. 7. Graph Techniques for Matrix Equations and Eigenvalue Dynamics

   Författare :Joakim Arnlind; Jens Hoppe; Martin Bordemann; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

   Sammanfattning : One way to construct noncommutative analogues of a Riemannian manifold Σ is to make use of the Toeplitz quantization procedure. In Paper III and IV, we construct C-algebras for a continuously deformable class of spheres and tori, and by introducing the directed graph of a representation, we can completely characterize the representation theory of these algebras in terms of the corresponding graphs. LÄS MER

4. 8. Krylov methods for nonlinear eigenvalue problems and matrix equations

   Författare :Giampaolo Mele; Elias Jarlebring; Raf Vandebril; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys;

   Sammanfattning : Nonlinear eigenvalue problems (NEPs) arise in many fields of science and engineering. Such problems are often defined by large matrices, which have specific structures, such as being sparse, low-rank, etc. Like the linear eigenvalue problem, the eigenvector appears in a linear form, whereas the eigenvalue appears in a nonlinear form. LÄS MER

5. 9. The Dirac Equation: Numerical and Asymptotic Analysis

   Författare :Hasan Almanasreh; Göteborgs universitet; []
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

7. 10. Analysis of Sub-Synchronous Oscillations in Wind Power Plants

   Författare :Muhammad Taha Ali; Mehrdad Ghandari; Massimo Bongiorno; KTH; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Doubly fed Induction generator; eigenvalue analysis; sub-synchronous control interaction; voltage source converter; Electrical Engineering; Elektro- och systemteknik;

   Sammanfattning : The modern power system is moving towards the high integration of renewable energy sources at a fast pace. The integration of wind power in the power system raises many challenges along with the benefits. One of the recent challenges is the sub-synchronous oscillation (SSO) that occurs in doubly-fed induction generator (DFIG) based wind farms. LÄS MER