The discontinuous Galerkin code uses a combination of high-order spatial and various temporal discretizations methods

1. Spatial discretizations
1. Centered numerical fluxes
2. High-order nodal polynomial interpolation
3. High-order geometrical mapping for curvilinear domains
4. Efficient cubature formulas for line, surface and volume integrals
2. Temporal discretizations
1. Arbitrarily high-order explicit leap-frog integrators
2. Second-order implicit Crank-Nicolson scheme
3. Second-order hybrid explicit/implicit scheme
4. Exponential, one-step, explicit, polynomial integrators

MAXDGTD can handle

• Non-conforming simplicial and hexahedral meshes with arbitrary level hanging nodes
• Non-conforming hybrid tetrahedral-hexahedral meshes
• Locally varying polynomial degrees
• Complex geometries with curved boundaries
• Strongly heterogeneous media, conductive materials, source terms