Search for dissertations about: "nonlinear eigenvalue problems"

Showing result 1 - 5 of 7 swedish dissertations containing the words nonlinear eigenvalue problems.

  1. 1. Krylov methods for nonlinear eigenvalue problems and matrix equations

    University dissertation from Stockholm : KTH Royal Institute of Technology

    Author : Giampaolo Mele; Elias Jarlebring; Raf Vandebril; [2020]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys;

    Abstract : 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. READ MORE

  2. 2. Reliable hp finite element computations of scattering resonances in nano optics

    University dissertation from Umeå : Umeå Universitet

    Author : Juan Carlos Araujo-Cabarcas; Christian Engström; David Cohen; Mats G. Larson; Jeffrey Ovall; [2019]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Scattering resonances; Helmholtz problems; pseudospectrum; Lippmann-Schwinger equation; finite element methods; nonlinear eigenvalue problems; spurious solutions;

    Abstract : Eigenfrequencies are commonly studied in wave propagation problems, as they are important in the analysis of closed cavities such as a microwave oven. For open systems, energy leaks into infinity and therefore scattering resonances are used instead of eigenfrequencies. READ MORE

  3. 3. On nonlinear eigenvalue problems and critical point theory for indefinite functionals

    University dissertation from Stockholm : Stockholm University

    Author : Li Yongqing; [1994]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematisk Analys;

    Abstract : .... READ MORE

  4. 4. Model Order Reduction with Rational Krylov Methods

    University dissertation from Stockholm : KTH

    Author : K. Henrik A. Olsson; Axel Ruhe; Volker Mehrmann; [2005]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Model order reduction; dual rational Arnoldi; rational Krylov; moment matching; eigenvalue computation; stability analysis; heat exchanger model; MATHEMATICS Applied mathematics Numerical analysis; MATEMATIK Tillämpad matematik Numerisk analys;

    Abstract : Rational Krylov methods for model order reduction are studied. A dual rational Arnoldi method for model order reduction and a rational Krylov method for model order reduction and eigenvalue computation have been implemented. It is shown how to deflate redundant or unwanted vectors and how to obtain moment matching. READ MORE

  5. 5. Critical point theory with applications to semilinear problems without compactness

    University dissertation from Uppsala : Avdelningen för matematik

    Author : Sara Maad; Jacqueline Fleckinger; [2002]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; MATEMATIK; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Abstract : The thesis consists of four papers which all regard the study of critical point theory and its applications to boundary value problems of semilinear elliptic equations. More specifically, let Ω be a domain, and consider a boundary value problem of the form -L u + u = f(x,u) in Ω, and with the boundary condition u=0. READ MORE