Essays about: "Måns Alskog"

Found 2 essays containing the words Måns Alskog.

1. 1. The History of the Dirichlet Problem for Laplace’s Equation

   University essay from Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

   Author : Måns Alskog; [2023]
   Keywords : Potential Theory; Dirichlet Problem; Laplace’s Equation; Complex Analysis; Potentialteori; Dirichletproblemet; Laplaces ekvation; komplex analys;

   Abstract : This thesis aims to provide an introduction to the field of potential theory at an undergraduate level, by studying an important mathematical problem in the field, namely the Dirichlet problem. By examining the historical development of different methods for solving the problem in increasingly general contexts, and the mathematical concepts which were established to support these methods, the aim is to provide an overview of various basic techniques in the field of potential theory, as well as a summary of the fundamental results concerning the Dirichlet problem in Euclidean space. READ MORE

3. 2. Implementation of a Fast Approximation Algorithm for Precedence Constrained Scheduling

   University essay from Linköpings universitet/Tillämpad matematik; Linköpings universitet/Tekniska fakulteten

   Author : Måns Alskog; [2022]
   Keywords : Optimization; scheduling; approximation algorithms; linear programming; multiplicative weight update; Optimering; schemaläggning; approximationsalgoritmer; linjärprogrammering;

   Abstract : We present an implementation of a very recent approximation algorithm for scheduling jobs on a single machine with precedence constraints, minimising the total weighted completion time. We also evaluate the performance of this implementation. READ MORE