Essays about: "Linear multistep method"
Found 2 essays containing the words Linear multistep method.
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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/MatematikcentrumAbstract : 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
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2. Construction and benchmarking of adaptive parameterized linear multistep methods
University essay from Lunds universitet/Matematik LTHAbstract : A recent publication introduced a new way to define all k-step linear multistep methods of order k and k+1, in a parametric form that builds in variable step-size. In this framework it is possible to continuously change method and step-size, making it possible to create better behaving adaptive numerical solvers. READ MORE