Essays about: "Summation By Parts"

Showing result 11 - 15 of 27 essays containing the words Summation By Parts.

1. 11. Summation By Parts Finite Difference Methods with Simultaneous Approximation Terms for the Heat Equation with Discontinuous Coefficients

   University essay from Linnéuniversitetet/Institutionen för matematik (MA)

   Author : Niklas Kåhlman; [2019]
   Keywords : Finite Difference Method; FDM; Summation By Parts; Simultaneous Approximation Terms; SBP-SAT; Heat Equation; Poisson s Equation; Discontinuous Coefficients; Piecewise Constant Coefficients; Convergence; Dual Consistency; Stability;

   Abstract : In this thesis we will investigate how the SBP-SAT finite difference method behave with and without an interface. As model problem, we consider the heat equation with piecewise constant coefficients. The thesis is split in two main parts. READ MORE

3. 12. Polynomial Computer Algebra and implementation of Wilf-Zeilberger's method

   University essay from Lunds universitet/Matematik LTH

   Author : Lars Åström; [2019]
   Keywords : Computer Algebra; Wilf-Zeilberger s method; Automized proofs; Combinatorics; Proving identities; Mathematics and Statistics;

   Abstract : The purpose of the thesis is to get a better understanding of computer algebra in general, and polynomial computer algebra in particular. This is done by implementing a library for a polynomials and methods that are needed to be able to perform operations on the polynomials. READ MORE

4. 13. Stability and accuracy for difference methods using asynchronous processors

   University essay from Linköpings universitet/Matematiska institutionen; Linköpings universitet/Tekniska fakulteten

   Author : Albin Göransson; [2018]
   Keywords : asynchronous problems; partial diffrence equations; initial boundary value problems; parallel computing;

   Abstract : We solve initial boundary value problems with information unavailable at random time-steps. The randomly unavailable information represents asynchrony between processing elements. To approximate the initial boundary value problem, finite difference operators with summation-by-parts proper-ties and weak boundary procedures are used. READ MORE

5. 14. Performance comparison of parallel turbulent noise evaluation with different gradient selection methods

   University essay from KTH/Skolan för datavetenskap och kommunikation (CSC)

   Author : Alexander Lingtorp; Simon Mossmyr; [2017]
   Keywords : ;

   Abstract : Noise is of vital interest in many parts of computer sciene, especially in the computer graphics eld where noise is used to create nature-like e ects. Perlin’s 1985 algorithm to generate noise remains the most pop- ular in spite of many alternatives having been presented over the years. READ MORE

6. 15. Data acquisition system for optical frequency comb spectroscopy

   University essay from Umeå universitet/Institutionen för fysik

   Author : Ragnar Seton; [2017]
   Keywords : DAQS; HITRAN; MATLAB; libmx; Fourier Transform Spectrometry; Real time data visualization;

   Abstract : The Optical Frequency Comb Spectroscopy (OFCS) Group at the Department of Physics at Umeå University develops new techniques for extremely high sensitivity trace gas detection, non invasive temperature measurements, and other applications of OFCS. Their setup used primarily for trace gas detection contains several components that have been developed in-house, including a Fourier Transform Spectrometer (FTS) and an auto-balancing detector. READ MORE