Finite elements approximation of heat equation: the Crank Nicolson method

Luogo:   Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Aula Seminari
Ore 9:00

• Relatore: Karla Margaret Eva Misselbeck (Dottoranda Università di Trento)

Abstract:
The distribution of heat in a given space and over time can be described with a parabolic partial differential equation, the so-called heat equation.
In order to numerically solve this problem, a weak formulation is considered. After discretization of the space variables, one arrives at a system of ordinary differential equations which can be solved by the means of many finite difference methods. We will limit ourselves to considering the so-called theta-method for theta = 1/2 (Crank-Nicholson method). In this seminar we concentrate on the convergence analysis of the theta-method.

Esame del corso “Numerical methods for PDEs”
Docente: Ana Maria Alonso Rodriguez