Essays about: "pointwise convergence"

Found 3 essays containing the words pointwise convergence.

1. 1. Sequences of Functions : Different Notions of Convergence and How They Are Related

   University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

   Author : Erik Sätterqvist; [2018]
   Keywords : Sequences of functions; convergence; quasi uniform convergence; Lp-spaces; Funktionsföljder; konvergens; kvasilikformig konvergens; Lp-rum;

   Abstract : In this thesis we examine different types of convergence for sequences of functions and how these are related. The functions considered are real valued Lebesgue measurablefunctions defined on a subset of R. READ MORE

3. 2. Preconditioned iterative methods for PDE-constrained optimization problems with pointwise state constraints

   University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

   Author : Anders Ström; [2017]
   Keywords : ;

   Abstract : Optimization problems constrained by partial differential equations (PDEs) arise in a variety of fields when one wants to optimize a system governed by a PDE. The goal is to compute a control variable such that a state variable is as close as possible to some desired state when control and state are coupled by some PDE. READ MORE

4. 3. Introduction to some modes of convergence : Theory and applications

   University essay from Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

   Author : Milosz Bolibrzuch; [2017]
   Keywords : Modes of convergence; uniform convergence; pointwise convergence; L1 convergence; numerical methods; differential equations; big O notation; central difference method; topological space; metric space; bump function; support;

   Abstract : This thesis aims to provide a brief exposition of some chosen modes of convergence; namely uniform convergence, pointwise convergence and L1 convergence. Theoretical discussion is complemented by simple applications to scientific computing. READ MORE