Low regularity time integration of dispersive problems
Abstract: Standard numerical integrators, such as Lie splitting, Strang splitting, and exponential integrators, experience order reduction when applied to semilinear dispersive problems with non-smooth initial data. To address this issue, a recent development introduces a new class of integrators known as low-regularity integrators. These integrators use the variation-of-constants formula and e...
Speaker:Alexander Ostermann (University of Innsbruck, Austria)