KdVH has additional solitary and periodic traveling waves beyond KdV solitons, and the paper's ImEx-SBP schemes provably preserve energy and are asymptotic preserving toward KdV.
Perfectly matched layers methods for mixed hyperbolic–dispersive equations
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
method 1
citation-polarity summary
fields
math.NA 1years
2024 1verdicts
ACCEPT 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation
KdVH has additional solitary and periodic traveling waves beyond KdV solitons, and the paper's ImEx-SBP schemes provably preserve energy and are asymptotic preserving toward KdV.