Search for dissertations about: "nonlinear iteration"

Showing result 1 - 5 of 31 swedish dissertations containing the words nonlinear iteration.

  2. 1. 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

  4. 2. Eigenfrequency Analysis FE-Adaptivity and a Nonlinear Eigenproblem Algorithm

    Author : Patrik Hager; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; nonlinear eigenvalue; finite element; adaptivity; superconvergent patch recovery; rational krylov;

    Abstract : 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. READ MORE

  5. 3. Data Assimilation in Fluid Dynamics using Adjoint Optimization

    Author : Johan Lundvall; Vladimir Kozlov; Per Weinerfelt; Matts Karlsson; Anders Szepessy; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Data assimilation; Inverse problem; Adjoint optimization; Burgers equation; nonlinear; Landweber; Initial pressure; Euler flow; Applied mathematics; Tillämpad matematik;

    Abstract : Data assimilation arises in a vast array of different topics: traditionally in meteorological and oceanographic modelling, wind tunnel or water tunnel experiments and recently from biomedical engineering. Data assimilation is a process for combine measured or observed data with a mathematical model, to obtain estimates of the expected data. READ MORE

  6. 4. On risk-coherent input design and Bayesian methods for nonlinear system identification

    Author : Patricio E. Valenzuela Pacheco; Cristian Rojas; Daniel Rivera; KTH; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; System identification; input design; Bayesian methods; nonlinear models; risk theory; Electrical Engineering; Elektro- och systemteknik;

    Abstract : System identification deals with the estimation of mathematical models from experimental data. As mathematical models are built for specific purposes, ensuring that the estimated model represents the system with sufficient accuracy is a relevant aspect in system identification. READ MORE

  7. 5. Approaches to accelerate methods for solving systems of equations arising in nonlinear optimization

    Author : David Ek; Anders Forsgren; Jacek Gondzio; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Nonlinear optimization; mathematical programming; interior-point methods; approximate solutions to systems of linear equations; method of conjugate gradients; quasi-Newton methods; modified Newton methods; Ickelinjär optimering; matematisk programmering; inre-punktsmetoder; approximativa lösningar till linjära ekvationssystem; konjugerade gradientmetoden; kvasi-Newtonmetoder; modifierade Newtonmetoder.; Optimization and Systems Theory; Optimeringslära och systemteori;

    Abstract : Methods for solving nonlinear optimization problems typically involve solving systems of equations. This thesis concerns approaches for accelerating some of those methods. In our setting, accelerating involves finding a trade-off between the computational cost of an iteration and the quality of the computed search direction. READ MORE