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Showing result 1 - 5 of 6 swedish dissertations matching the above criteria.

  2. 1. Time Domain Methods for Load Identification of Linear and Nonlinear Systems

    Author : Patrik Nordberg; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; inverse problem; ill-conditioning; upper block triangular Toeplitz matrix; regularization; wavelet parameterization; least squares problem; input estimation; time domain; linear and nonlinear systems; load identification;

    Abstract : The automotive industry faces an increasing demand for virtual prototyping to simulate the operation conditions of vehicles and subsystems. Each component, as well as the complete vehicle, must meet the desired design requirements in a time- and cost-efficient development process. READ MORE

  4. 2. 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

  5. 3. Algorithms for the Weighted Orthogonal Procrustes Problem and other Least Squares Problems

    Author : Thomas Viklands; Per-Åke Wedin; Lars Eldén; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Procrustes; weighted; orthogonal; algorithms; global optimization.; Numerical analysis; Numerisk analys;

    Abstract : In this thesis, we present algorithms for local and global minimization of some Procrustes type problems. Typically, these problems are about rotating and scaling a known set of data to fit another set with applications related to determination of rigid body movements, factor analysis and multidimensional scaling. READ MORE

  6. 4. Regularization of Parameter Problems for Dynamic Beam Models

    Author : Sara Rydström; Börje Nilsson; Fredrik Berntsson; Linnéuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Euler-Bernoulli beam equation; parameter identification; bending stiffness; refractive index; Tikhonov regularization; Applied mathematics; Tillämpad matematik; Mathematics; Matematik;

    Abstract : The field of inverse problems is an area in applied mathematics that is of great importance in several scientific and industrial applications. Since an inverse problem is typically founded on non-linear and ill-posed models it is a very difficult problem to solve. READ MORE

  7. 5. Inverse Problems for Tumour Growth Models and Neural ODEs

    Author : Rym Jaroudi; George Baravdish; Tomas Johansson; Jonas Unger; Gabriel Eilertsen; Lukáš Malý; Torbjörn Lundh; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis concerns the application of methods and techniques from the theory of inverse problems and differential equations to study models arising in the areas of mathematical oncology and deep learning. The first problem studied is to develop methods to perform numerical simulations with full 3-dimensional brain imaging data of reaction-diffusion models for tumour growth forwards as well as backwards in time with the goal of enabling the numerical reconstruction of the source of the tumour given an image (or similar data) at a later stage in time of the tumour. READ MORE