Essays about: "Michael Andrew Kraut"

Found 1 essay containing the words Michael Andrew Kraut.

  1. 1. Comparing Multistep Methods Within Parametric Classes to Determine Viability in Solver Applications

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Michael Andrew Kraut; [2021]
    Keywords : Ordinary Differential Equations; Initial Value Problems; Linear Multistep Methods; Numerical Analysis; Numerical Solvers; Parametrized; Algorithms; Control Theory; Mathematics and Statistics;

    Abstract : In the 2017 paper by Arévalo and Söderlind, a framework was established for creating linear multistep methods of various classes based on a polynomial formulation which includes variable step size adaptivity. These classes are: k step explicit and implicit methods of order k and k+1 respectively for nonstiff problems (such as Adams methods), and k step implicit methods of order k for stiff problems (such as BDF methods). READ MORE