Essays about: "Gustaf Lorentzon"

Found 2 essays containing the words Gustaf Lorentzon.

1. 1. Designing Effective Derivative Line Filters: Utilizing convolution to extract extra information

   University essay from KTH/Matematik (Avd.)

   Author : Gustaf Lorentzon; [2023]
   Keywords : Computational Fluid Dynamics; Convolution Filters; Convolution Kernels; Derivatives; Extracting Extra Accuracy; Filtration; Post-processing; Smoothness-Increasing Accuracy-Conserving; Signal-processing; Visualization; Vorticity; Beräkningsbaserad Strömningsdynamik; Faltningsfilter; Faltningskärnor; Derivator; Extrahering av Extra Noggrannhet; Filtrering; Efterbehandling; Kontinuitetsökande; Noggrannhetsbevarande; Signalbehandling; Visualisering; Vorticitet;

   Abstract : The ability to generate accurate approximations of derivatives holds significant importance in numerous scientific fields, including chemistry, economics and fluid mechanics. This thesis is centred around extracting hidden information in data using Smoothness-Increasing Accuracy-Conserving (SIAC) filters. READ MORE

3. 2. A Relation Between Anderson Acceleration and GMRES

   University essay from Lunds universitet/Matematikcentrum

   Author : Gustaf Lorentzon; [2020]
   Keywords : Numerical analysis; acceleration methods; fixed-point iteration; generalized minimal residual method; GMRES; iterative methods; numerical linear algebra; finite difference method; Mathematics and Statistics;

   Abstract : A very common type of problem within mathematics and numerical analysis are fixed-point problems, which can arise as sub-problems of optimization methods, differential equations solvers and much more. The most basic iterative approach for fixed-point problems is fixed-point iteration, special cases of which actually date back as far as the Babylonians, where it was used to to find the square roots of positive numbers. READ MORE