Sökning: "Kjartan Kari Gardarsson Myrdal"

Hittade 2 uppsatser innehållade orden Kjartan Kari Gardarsson Myrdal.

1. 1. Analysis and Implementation of Adaptive Explicit Two-Step Methods

   Master-uppsats, Lunds universitet/Matematik LTH

   Författare :Kjartan Kari Gardarsson Myrdal; [2015]
   Nyckelord :numerical methods; two-step; variable; multistep methods; ODE; adaptive; differential equations; parametric; explicit; Mathematics and Statistics;

   Sammanfattning : Recently a new way of constructing variable step-size multistep methods has been proposed, that parametrizes the entire domain of multistep methods. In the presented work the case of explicit two-step methods is looked at, analyzed and related to the already known theory of multistep methods. LÄS MER

3. 2. Some theoretical and numerical aspects of the N-body problem

   Kandidat-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten)

   Författare :Kjartan Kari Gardarsson Myrdal; [2013]
   Nyckelord :N-body problem; central configuration; Euler s solution; Lagrange s solution; numerical methods; Euler s method; Heun s method; the classical fourth-order Runge-Kutta scheme; Störmer-Verlet; Mathematics and Statistics;

   Sammanfattning : The N-body problem has been studied for many centuries and is still of interest in contemporary science. A lot of effort has gone into solving this problem but it's unlikely that a general solution will be found with the mathematical tools we have today. We review some of the progress that has been made over the centuries in solving it. LÄS MER