Essays about: "simultaneous approximation term"

Showing result 1 - 5 of 13 essays containing the words simultaneous approximation term.

1. 1. Numerical Simulation of the Generalized Modified Benjamin-Bona-Mahony Equation Using SBP-SAT in Time

   University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

   Author : Vilma Kjelldahl; [2023]
   Keywords : Benjamin-Bona-Mahony equation; non-linear; initial boundary value problem; summation-by-parts; simultaneous-approximation-term; time integration; simulation;

   Abstract : This paper describes simulations of the generalized modified Benjamin-Bona-Mahony (BBM) equation, using finite difference methods (FDM). Well-posed boundary conditions (BCs) as well as stable semi-discrete approximations are derived using summations-by-parts (SBP) operators combined with the projection method. READ MORE

3. 2. An exploration of classical SBP-SAT operators and their minimal size

   University essay from Linnéuniversitetet/Institutionen för matematik (MA)

   Author : Jesper Nilsson; [2021]
   Keywords : Finite differences; summation by parts; simultaneous approximation term; SBP-SAT; discretization matrix inverses;

   Abstract : We consider diagonal-norm classical summation-by-parts (SBP) operators us-ing the simultaneous approximation term (SAT) method of imposing boundaryconditions. We derive a formula for the inverse of these SBP-SAT discretizationmatrices. READ MORE

4. 3. Numerical Simulation of Soliton Tunneling

   University essay from

   Author : Matilda Tiberg; Elias Estensen; Amanda Seger; [2020]
   Keywords : soliton; GPE; gross pitaevskii; Schrödinger; step potential; summation by parts; SBP-SAT; Simultaneous approximation term; SAT; Projection; SBP-Projection; finite differences; boundary treatment; interface treatment;

   Abstract : This project studied two different ways of imposing boundary conditions weakly with the finite difference summation-by-parts (SBP) operators. These operators were combined with the boundary handling methods of simultaneous-approximation-terms (SAT) and the Projection to impose homogeneous Neumann and Dirichlet boundary conditions. READ MORE

5. 4. Simulation of Viscosity-Stratified Flow

   University essay from

   Author : Victor Carlsson; Philip Isaac; Persson Adina; [2020]
   Keywords : Burgers equation; flow; SAT; projection method; boundary treatment;

   Abstract : The aim of this project is to study the viscous Burgers' equation for the case where the viscosity is constant, but also when it contains a jump in viscosity. In the first case where the viscosity is constant, Burgers' is simply solved on a singular domain. READ MORE

6. 5. Estimation of Hourly Origin Destination Trip Matrices for a Model of Norrköping

   University essay from Linköpings universitet/Kommunikations- och transportsystem; Linköpings universitet/Tekniska fakulteten

   Author : Agnes Lindström; Frida Persson; [2018]
   Keywords : Visum; OD-estimation; SPSA; multiple linear regression; macroscopic modelling; traffic demand modelling;

   Abstract : During the last century, the number of car users has increased as an effect of the increasing population growth. To manage the environmental and infrastructural challenges that comes with a more congested traffic network, traffic planning has become of higher importance to analyze the current traffic state and to predict future capacity challenges and effects of investments. READ MORE