Search for dissertations about: "stepsize control"

Found 3 swedish dissertations containing the words stepsize control.

  2. 1. Computational Stability and Adaptive Strategies - An Experimental Study of ODE Software

    Author : Lina Wang; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; algorithm analysis; Mathematical software; RADAU5; DASSL; digital filters; PI control; adaptive time-stepping; stepsize control; computational stability; test protocol; Computer science; numerical analysis; systems; control; Datalogi; numerisk analys; system; kontroll;

    Abstract : The algorithmic content of adaptive ODE/DAE software is dominated by a considerable amount of control structures, support algorithms and logic. The control logic has been largely heuristic and lacking support by analysis. READ MORE

  4. 2. Analysis of Computational Algorithms for Linear Multistep Methods

    Author : Anders Sjö; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; linear multistep method; Initial value ODE; variable step method; Adams method; BDF; stepsize control; error analysis; Mathematics; Matematik;

    Abstract : Linear multistep methods (LMMs) constitute a class of time-stepping methods for the solution of initial value ODEs; the most well-known methods of this class are the Adams methods (AMs) and the backward differentiation formulae (BDFs). For the fixed stepsize LMMs there exists an extensive error and stability analysis; in practical computations, however, one always uses a variable stepsize. READ MORE

  5. 3. Runge–Kutta Time Step Selection for Flow Problems

    Author : Karl Hörnell; Per Lötstedt; Uppsala universitet; []
    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