Numerical methods for changing type systems
It provides a numerical framework for a class of linear PDEs with changing type, but the results are theoretical and no concrete numerical experiments or performance metrics are reported.
The paper develops a numerical method for partial differential equations with changing type, using a discontinuous Galerkin approach in space-time with exponentially weighted spaces, building on a unified solution theory by Rainer Picard.
In this note we develop a numerical method for partial differential equations with changing type. Our method is based on a unified solution theory found by Rainer Picard for several linear equations from mathematical physics. Parallel to the solution theory already developed, we frame our numerical method in a discontinuous Galerkin approach in space-time with certain exponentially weighted spaces.