The method of characteristics for solving first order quasilinear equations will be discussed. The three main types of linear second order partial differential equations will be considered: parabolic ...

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

pdf T. Hagstrom and D. Appelö, Solving PDEs with Hermite Interpolation, Springer Lecture Notes in Computational Science and Engineering 2015. pdf Xi (Ronald) Chen, D. Appelö and Thomas Hagstrom, A ...

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 ...