Sökning: "multistep methods"

Visar resultat 1 - 5 av 20 avhandlingar innehållade orden multistep methods.

  1. 1. Construction of Adaptive Multistep Methods for Problems with Discontinuities, Invariants, and Constraints

    Författare :Fatemeh Mohammadi; Numerisk analys; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; multistep methods; Initialization; beta-blocking; Discontinuity; Time adaptivity; Strong stability preserving; Differential algebraic equations;

    Sammanfattning : Adaptive multistep methods have been widely used to solve initial value problems. These ordinary differential equations (ODEs) may arise from semi-discretization of time-dependent partial differential equations(PDEs) or may combine with some algebraic equations to represent a differential algebraic equations (DAEs). LÄS MER

  2. 2. 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. 3. Discretizations of nonlinear dissipative evolution equations. Order and convergence

    Författare :Eskil Hansen; Numerisk analys; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; kontroll; systems; numerisk analys; control; Datalogi; numerical analysis; Computer science; B-convergence; Dissipative maps; Logarithmic Lipschitz constants; Galerkin methods; Nonlinear evolution equations; Time discretizations; system;

    Sammanfattning : The theme of this thesis is to study discretizations of nonlinear dissipative evolution equations, which arise in e.g. advection-diffusion-reaction processes. LÄS MER

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

    Författare :Christian Andersson; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 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. 5. Development of Aerobic Oxidative N-Heterocyclic Carbene Catalysis via Multistep Electron Transfer and its Application

    Författare :Anton Axelsson; Chalmers University of Technology; []
    Nyckelord :dihydropyranone; Michael addition; kinetics.; aerobic oxidation; acylation; N-heterocyclic carbene; green chemistry; Organocatalysis; electron transfer mediator; asymmetric synthesis;

    Sammanfattning : Oxidation reactions are ubiquitous in synthetic chemistry, but generally suffer from formation of large amounts of potentially toxic byproducts. Aerial oxygen represents an ideal oxidant since it is inexpensive, non-toxic and only forms water as a byproduct. LÄS MER