Search for dissertations about: "Runge-Kutta"

Showing result 1 - 5 of 17 swedish dissertations containing the word Runge-Kutta.

  1. 1. Runge-Kutta Solution of Initial Value Problems: Methods, Algorithms and Implementation

    University dissertation from Department of Computer Science, Lund University

    Author : Hans Olsson; Lund University.; Lunds universitet.; [1998]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Computer science; stiffness; software; computational process; differential algebraic equations; ordinary differential equations; Runge-Kutta; initial value problems; time-stepping; system; kontroll; numerisk analys; Datalogi; control; numerical analysis; systems;

    Abstract : The last decades have seen a strongly increasing use of computers for modeling larger and more complex systems. This has been made possible by a combination of increasing computer power and easy-to-use graphical modeling environments and libraries of components. READ MORE

  2. 2. Runge–Kutta Time Step Selection for Flow Problems

    University dissertation from Uppsala : Acta Universitatis Upsaliensis

    Author : Karl Hörnell; Uppsala universitet.; Uppsala universitet.; [1999]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Runge-Kutta; stepsize selection; optimization; flow problems; numerical analysis; Numerical Analysis; Numerisk analys;

    Abstract : Optimality is studied for Runge-Kutta iteration for solving steady-state and time dependent flow problems. For the former type an algorithm for determining locally optimal time steps is developed, based on the fact that the squared norm of the residual produced by an m-stage scheme is a 2m-degree polynomial, the coefficients of which can be computed from scalar products of Krylov subspace vectors. READ MORE

  3. 3. A Fast Method for Solving the Helmholtz Equation Based on Wave Splitting

    University dissertation from Stockholm : KTH

    Author : Jelena Popovic; KTH.; [2009]
    Keywords : Helmholtz equation; high fequency waves;

    Abstract : In this thesis, we propose and analyze a fast method for computing the solution of the Helmholtz equation in a bounded domain with a variable wave speed function. The method is based on wave splitting. The Helmholtz equation is first split into one--way wave equations which are then solved iteratively for a given tolerance. READ MORE

  4. 4. Discretizations of nonlinear dissipative evolution equations. Order and convergence

    University dissertation from Numerical Analysis, Lund University

    Author : Eskil Hansen; Lund University.; Lunds universitet.; [2005]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; kontroll; systems; numerisk analys; control; Datalogi; numerical analysis; Computer science; B-convergence; Dissipative maps; Logarithmic Lipschitz constants; Galerkin methods; Nonlinear evolution equations; Time discretizations; system;

    Abstract : The theme of this thesis is to study discretizations of nonlinear dissipative evolution equations, which arise in e.g. advection-diffusion-reaction processes. READ MORE

  5. 5. Large eddy simulation of transonic flow with shock wave/turbulent boundary layer interaction

    University dissertation from Numerical Analysis, Lund University

    Author : Christian Wollblad; [2004]
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; shock wave; turbulent boundary layer; LES;

    Abstract : Large eddy simulations (LES) of shock wave/turbulent boundary layer interaction (SWTBLI) have been carried out. The flow configuration was that of transonic flow over a bump with inlet Mach number 0.75 and maximum Mach number 1.27. READ MORE