Sökning: "nonlinear eigenvalue"
Visar resultat 1 - 5 av 16 avhandlingar innehållade orden nonlinear eigenvalue.
1. Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities
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
2. Numerical methods for Sylvester-type matrix equations and nonlinear eigenvalue problems
Sammanfattning : Linear matrix equations and nonlinear eigenvalue problems (NEP) appear in a wide variety of applications in science and engineering. Important special cases of the former are the Lyapunov equation, the Sylvester equation, and their respective generalizations. These appear, e.g. LÄS MER
3. Eigenfrequency Analysis FE-Adaptivity and a Nonlinear Eigenproblem Algorithm
Sammanfattning : Engineering often pose the problem of computing the frequencies with which a system oscillates and the corresponding displacement patterns the system forms, and in case damping is present then the rates of which the amplitudes of the displacement patterns decay are also required. It is necessary to compute these quantities within a prescribed accuracy and the effort required for the computations should be minimised. LÄS MER
4. Transient Electromagnetic Waves in Nonlinear Media
Sammanfattning : This thesis is concerned with the propagation of transient electromagnetic waves in nonlinear media. It consists of a General Introduction and five scientific papers. The General Introduction gives a broad overview of nonlinear electromagnetic phenomena. LÄS MER
5. Krylov methods for nonlinear eigenvalue problems and matrix equations
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