Automated Solution of Differential Equations

Anders Logg
Department of Mathematical Sciences
Chalmers University of Technology


For more than two centuries, partial differential equations have been the most important tool available to scientists and engineers to model and understand a wide range of physical phenomena. The solution of a partial differential equation is often a very challenging and time-consuming task, involving mathematical analysis, numerical analysis and the development of sophisticated computer programs.

In this lecture, I demonstrate how the solution process can be completely automated, to the point where complicated systems of nonlinear partial differential equations can be solved with ease in a web browser.