Seminar
Modelling point cloud data, an approach from topology
by Nicolas Vercheval (Ghent University)
Location: Campus Sterre, Building S8, Classroom 3.2, Ghent
Time: Friday May 10, 2019 at
14:30
Much research has been devoted to the study of the heat equation, as this partial differential equation finds applications in domains such as physics, probability theory and financial mathematics. Our aim is to discretise this equation in the discrete Clifford framework in one dimension. We will consider both discrete space and discrete time. We determine a fundamental solution of the heat equation in this setting and investigate its properties. Discrete heat polynomials are constructed, i.e. discrete polynomial solutions of the heat equation with initial conditions given by a basic discrete homogeneous polynomial. The analogue problem in the dual space is discussed.
