Search for dissertations about: "numerisk analys"

Showing result 1 - 5 of 441 swedish dissertations containing the words numerisk analys.

  2. 1. Numerical methods for parameterized linear systems

    Author : Siobhán Correnty; Elias Jarlebring; Johan Karlsson; Kirk M. Soodhalter; Andrew J. Wathen; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Parameterized linear systems; Krylov subspace methods; preconditioning; tensor decompositions; shifted linear systems; parameterized partial differential equations; time-delay systems; transfer functions; parameter estimation problems; Parameteriserade linjära system; Krylov-metoder; förkonditionering; tensordekomposition; skiftade linjära system; parametriserade partiella differentialekvationer; tidsfördröjningssystem; överföringsfunktioner; parameteruppskattningsproblem; Numerical Analysis; Numerisk analys;

    Abstract : Solving linear systems of equations is a fundamental problem in engineering. Moreover, applications involving the solution to linear systems arise in the social sciences, business, and economics. Specifically, the research conducted in this dissertation explores solutions to linear systems where the system matrix depends nonlinearly on a parameter. READ MORE

  4. 2. Accurate quadrature and fast summation in boundary integral methods for Stokes flow

    Author : Joar Bagge; Anna-Karin Tornberg; Katarina Gustavsson; Adrianna Gillman; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys;

    Abstract : This thesis concerns accurate and efficient numerical methods for the simulation of fluid flow on the microscale, known as Stokes flow or creeping flow. Such flows are important, for example, in understanding the swimming of microorganisms, spreading of dust particles, as well as in developing new nano-materials, and microfluidic devices that can be used for on-the-fly analysis of blood samples, among other things. READ MORE

  5. 3. Accuracy, efficiency and robustness for rigid particle simulations in Stokes flow

    Author : Anna Broms; Anna-Karin Tornberg; Mattias Sandberg; Eric Keaveny; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Stokes flow; rigid particles; accuracy; fundamental solutions; method of images; multiblob; contact avoiding; complementarity problem; barrier method; elliptic PDE; grid optimisation; pair-correction; boundary integral equations; Stokesflöde; noggrannhet; stela partiklar; fundamentallösningar; randintegralekvation; reflektionspunkter; multiblob; kontaktundvikande algoritmer; komplementaritetsproblem; barriärmetod; elliptisk PDE; gridoptimering; parkorrektion; Numerical Analysis; Numerisk analys;

    Abstract : The thesis concerns simulation techniques for systems of nano- to micro-scaled rigid particles immersed in a viscous fluid, ubiquitous in nature and industry. With negligible fluid inertia, the set of PDEs known as the Stokes equations can be used to model the hydrodynamics. READ MORE

  6. 4. Numerical Approximation of Reaction and Diffusion Systems in Complex Cell Geometry

    Author : Qasim Ali Chaudhry; Michael Hanke; Maya Gueorguieva Neytcheva; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Complex Cell Geometry; Reaction and Diffusion System; Metabolism in Biological Cells; Homogenization; Compartment Modelling; Numerical analysis; Numerisk analys;

    Abstract : The mathematical modelling of the reaction and diffusion mechanism of lipophilic toxic compounds in the mammalian cell is a challenging task because of its considerable complexity and variation in the architecture of the cell. The heterogeneity of the cell regarding the enzyme distribution participating in the bio-transformation, makes the modelling even more difficult. READ MORE

  7. 5. Coarse Graining Monte Carlo Methods for Wireless Channels and Stochastic Differential Equations

    Author : Håkon Hoel; Anders Szepessy; Ola Hössjer; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Coarse graining; Monte Carlo Methods; Stochastic processes; Numerical analysis; Numerisk analys;

    Abstract : This thesis consists of two papers considering different aspects of stochastic process modelling and the minimisation of computational cost. In the first paper, we analyse statistical signal properties and develop a Gaussian pro- cess model for scenarios with a moving receiver in a scattering environment, as in Clarke’s model, with the generalisation that noise is introduced through scatterers randomly flip- ping on and off as a function of time. READ MORE