Search for dissertations about: "Numerisk analys"

Showing result 11 - 15 of 441 swedish dissertations containing the words Numerisk analys.

  2. 11. Krylov methods for nonlinear eigenvalue problems and matrix equations

    Author : Giampaolo Mele; Elias Jarlebring; Raf Vandebril; KTH; []
    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

  4. 12. Topics in Analysis and Computation of Linear Wave Propagation

    Author : Mohammad Motamed; Olof Runborg; Shi Jin; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Numerical analysis; Numerisk analys;

    Abstract : This thesis concerns the analysis and numerical simulation of wave propagation problems described by systems of linear hyperbolic partial differential equations. A major challenge in wave propagation problems is numerical simulation of high frequency waves. READ MORE

  5. 13. Adaptive Algorithms and High Order Stabilization for Finite Element Computation of Turbulent Compressible Flow

    Author : Murtazo Nazarov; Johan Hoffman; Timothy J. Barth; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Compressible flow; adaptivity; finite element method; a posteriori error estimates; Implicit LES; Applied mathematics; Tillämpad matematik; Numerical analysis; Numerisk analys;

    Abstract : This work develops finite element methods with high order stabilization, and robust and efficient adaptive algorithms for Large Eddy Simulation of turbulent compressible flows. The equations are approximated by continuous piecewise linear functions in space, and the time discretization is done in implicit/explicit fashion: the second order Crank-Nicholson method and third/fourth order explicit Runge-Kutta methods. READ MORE

  6. 14. Boundary integral methods for fast and accurate simulation of droplets in two-dimensional Stokes flow

    Author : Sara Pålsson; Anna-Karin Tornberg; Shravan Veerapaneni; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys;

    Abstract : Accurate simulation of viscous fluid flows with deforming droplets creates a number of challenges. This thesis identifies these principal challenges and develops a numerical methodology to overcome them. Two-dimensional viscosity-dominated fluid flows are exclusively considered in this work. READ MORE

  7. 15. 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