Sökning: "linear multistep method"

Hittade 5 avhandlingar innehållade orden linear multistep method.

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

3. 2. Error Analysis and Smoothing Properties of Discretized Deterministic and Stochastic Parabolic Problems

   Författare :Yubin Yan; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : In this thesis we consider smoothing properties and approximation of time derivatives for parabolic equations and error estimates for stochastic parabolic partial differential equations approximated by the finite element method. In the first two papers, we study smoothing properties and approximation of the time derivative in time discretization schemes with constant and variable time steps for an abstract homogeneous linear parabolic problem. LÄS MER

4. 3. Methods and Tools for Co-Simulation of Dynamic Systems with the Functional Mock-up Interface

   Författare :Christian Andersson; Matematik LTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Coupled Systems; Co-Simulation; FMI; Functional Mock-up Interface; PyFMI; Assimulo; Stability; Master Algorithm;

   Sammanfattning : Simulation of coupled dynamical systems, where the subsystems are bundled with their own internal solver, is important in industry. This is due to that in many cases, with complex systems, this is the only viable option. LÄS MER

5. 4. Stability and boundedness results for variable-step variable-formula methods

   Författare :Jørgen Sand; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : This work constitutes the author's Doctoral thesis, which includes an introduction to and a summary of the following two TRITA-NA-reports: 8112 and 8218.In many practical applications one is interested in step-wise simulation of the behaviour of a dynamic system described by ordinary differential equations. LÄS MER

7. 5. Testing for Rationality, Separability and Efficiency

   Författare :Per Hjertstrand; Nationalekonomiska institutionen; []
   Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Revealed preference; Regional convergence; Rationality; Nonparametric; NONPAR test; LP test; GARP; Efficiency; Data Envelopment Analysis DEA ; Afriat’s Theorem; Bootstrap; Swofford and Whitney test; Weak separability;

   Sammanfattning : This thesis aims to propose, evaluate and apply test procedures for rationality, weak separability and efficiency. In particular, it focuses on nonparametric revealed preference procedures. LÄS MER