These methods leverage an iterative approach to efficiently solve steady-state solutions of hyperbolic partial differential equations, including Eikonal equations. By incorporating sparse-grid ...

parabolic (diffusion equation), elliptic (Laplace equation), and hyperbolic (wave equation). Techniques for solving these for various initial and boundary value problems on bounded and unbounded ...

making it a viable option for solving wave equations in complex media[2]. Research has also explored space-time discontinuous Galerkin methods for hyperbolic linear symmetric Friedrichs systems ...

Appelö, Solving PDEs with Hermite Interpolation ... Appelö and Thomas Hagstrom, A Hybrid Hermite - Discontinuous Galerkin Method for Hyperbolic Systems with Application to Maxwell’s Equations, J. Comp ...