Sökning: "error bounds"

Visar resultat 11 - 15 av 116 avhandlingar innehållade orden error bounds.

  1. 11. Finite element approximation of the linear stochastic Cahn-Hilliard equation

    Författare :Ali Mesforush; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Cahn-Hilliard-Cook equation; finite element method; backward Euler method; error estimate; strong convergence; backward Euler method;

    Sammanfattning : The linearized Cahn-Hilliard-Cook equation is discretized in the spatial variables by a standard finite element method. Strong convergence estimates are proved under suitable assumptions on the covariance operator of the Wiener process, which is driving the equation. The backward Euler time stepping is also studied. LÄS MER

  3. 12. 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

  4. 13. Finite element approximation of the deterministic and the stochastic Cahn-Hilliard equation

    Författare :Ali Mesforush; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; finite element; a priori error estimate; stochastic integral; mild solution; dual weighted residuals; a posteriori error estimate; additive noise; Wiener process; Cahn-Hilliard equation; existence; regularity; Lya- punov functional; stochastic convolution; Lya- punov functional;

    Sammanfattning : This thesis consists of three papers on numerical approximation of the Cahn-Hilliard equation. The main part of the work is concerned with the Cahn-Hilliard equation perturbed by noise, also known as the Cahn-Hilliard-Cook equation. LÄS MER

  5. 14. Adaptive Concatenated Coding for Wireless Real-Time Communications

    Författare :Elisabeth Uhlemann; Högskolan i Halmstad; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; Incremental redundancy hybrid ARQ; Multiple concatenated codes; Iterative decoding; Rate compatible punctured codes; Union bounds; EXIT charts; Convergence analysis; Wireless real-time communication; Quality of service; TECHNOLOGY; TEKNIKVETENSKAP;

    Sammanfattning : The objective of this thesis is to improve the performance of real-time communication overa wireless channel, by means of specifically tailored channel coding. The deadlinedependent coding (DDC) communication protocol presented here lets the timeliness and thereliability of the delivered information constitute quality of service (QoS) parametersrequested by the application. LÄS MER

  7. 15. Bounds on the maximum coding rate of multiple-access channels and feedback channels

    Författare :Rahul Devassy; Chalmers tekniska högskola; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY;

    Sammanfattning : We provide upper and lower bounds on the coding rate of multiple-access channels (MACs) and feedback channels.Traditional MACs have been extensively studied under the assumption of availability of perfect channel state information (CSI).In Paper A we relax this assumption for a Rayleigh block-fading MAC and provide bounds on the sum-rate capacity. LÄS MER