Essays about: "Poisson summation"

Found 2 essays containing the words Poisson summation.

1. 1. Always Look on the Positive-Definite Side of Life

   University essay from Göteborgs universitet/Institutionen för matematiska vetenskaper

   Author : Mattias Byléhn; [2020-11-24]
   Keywords : Poisson summation; positive-definite distributions; Abel transform; Guinand’s distribution; relatively positive-definite distributions; Krein’s theorem; Krein measures;

   Abstract : This thesis concerns distributions on Rn with the property of being positive-definite relative to a finite subgroup of the orthogonal group O(n). We construct examples of such distributions as the inverse Abel transform of Dirac combs on the geometries of Euclidean space Rn and the real- and complex hyperbolic plane H2, H2 C. READ MORE

3. 2. Summation By Part Methods for Poisson's Equation with Discontinuous Variable Coefficients

   University essay from Uppsala universitet/Institutionen för informationsteknologi

   Author : Thomas Nystrand; [2014]
   Keywords : SBP; SAT; Summation By Parts; Poisson equation; Discontinuous coefficients; Numerical methods; oil reservoir; improved boundary; weak boundary;

   Abstract : Nowadays there is an ever increasing demand to obtain more accurate numericalsimulation results while at the same time using fewer computations. One area withsuch a demand is oil reservoir simulations, which builds upon Poisson's equation withvariable coefficients (PEWVC). READ MORE