Partial Differential Equations

Utbildningsfakta

Kod: MMG801

This is the first course on partial differential equations (PDE) with applications in science and engineering. The objective of the course is two-fold: To introduce a theoretical foundation for classical PDEs such as Poisson's equation and the heat and wave equations and to introduce some modern approximation tools. In the theoretical part we study existence, uniqueness and stability concepts of model PDEs. As for the approximation tools, we focus on constructing and analysis of Galerkin methods. On one hand we consider the numerical analysis of approximation procedures such as: the variational principle, the minimization problem and representation theorems. On the other hand we deal with important implementation aspects such as a priori and a posteriori error estimates, and construction of numerical algorithms deriving, e.g., stiffness-, mass- and convection matrices.

Behörighet

Knowledge equivalent to 60 credits in mathematics, including the course MMG300 MultivariateAnalysis.

Utbildningstillfällen

Varje tillfälle har egna datum och villkor. Avslutade tillfällen behålls som historik och innebär inte att en ny ansökan är öppen.

• Partial Differential Equations

  University of Gothenburg

  Startdatum: 20 januari 2025

  Slutdatum: 23 mars 2025

  Studietakt: 50 %