2 papers
math.NA2026
Local linear stability of dual-pairing summation-by-parts methods for nonlinear conservation laws
Dougal Stewart, Kenneth Duru
A recent study by Gassner et al. [J. Sci. Comput. 90:79 (2022)] demonstrates that local energy stability--that is, ensuring the asymptotic numerical growth rate does not exceed the…
math.NA2026
A dual-pairing summation-by-parts finite difference framework for nonlinear conservation laws
Dougal Stewart, Nathan Lee, Kenneth Duru
Robust and convergent high-order numerical methods for solving partial differential equations are highly attractive due to their efficiency on modern and next-generation hardware a…