Sökning: "Initial value ODE linear multistep method variable step method Adams method BDF stepsize control error analysis Mathematics Matematik"

Hittade 1 avhandling innehållade orden Initial value ODE linear multistep method variable step method Adams method BDF stepsize control error analysis Mathematics Matematik.

1. 1. Analysis of Computational Algorithms for Linear Multistep Methods

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

   Sammanfattning : 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. LÄS MER