Sparse Grid Discontinuous Galerkin Methods for High-Dimensional Transport Equations
In this talk, we present sparse grid discontinuous Galerkin (DG) schemes for solving high-dimensional PDEs. We will discuss the construction of the scheme based on sparse finite element spaces built from multiwavelets, its properties and applications in kinetic transport equations, such as Vlasov equations in plasma physics. We also discuss the extensions to adaptive and central DG schemes.