2 papers
math.NA2026
A collocation scheme that is equivalent to discontinuous Galerkin discretizations
Jason Hicken
A spectral collocation operator with the summation-by-parts property was introduced by Chan to develop entropy-stable discontinuous Galerkin (DG) semi-discretizations (https://doi.…
math.NA2025
Constructing stable, high-order finite-difference operators on point clouds over complex geometries
Jason Hicken, Ge Yan, Sharanjeet Kaur
High-order difference operators with the summation-by-parts (SBP) property can be used to build stable discretizations of hyperbolic conservation laws; however, most high-order SBP…