A Time-Decomposition Method and Applications to Physical Problems

Physical phenomena such as wave propagation and singularity formation can be described with partial differential equations (PDEs). ~In many cases, such PDEs originate in physical, hyperbolic systems. ~Often, analytic solutions are not available. ~In this talk, we present a time-parallel numerical method to solve such PDEs with physically relevant results. ~The model problems we apply this method to are taken from relativistic quantum mechanical systems including the Klein-Gordon equation, the Dirac equation and the semilinear wave equation. ~