2 papers
math.NA2026
Novel Adaptive Methods for Hyperbolic Conservation Laws Based on New Quasi-Linear Seventh- and Ninth-Order Schemes
Shaoshuai Chu, Pingyao Feng, Vadim A. Kolotilov +2
We develop new adaptive numerical schemes for one- and two-dimensional hyperbolic systems of conservation laws. The methodology relies on the use of a smoothness indicator to autom…
math.NA2026
Novel Adaptive Schemes for Hyperbolic Conservation Laws
Shaoshuai Chu, Pingyao Feng, Vadim A. Kolotilov +2
We introduce new adaptive schemes for the one- and two-dimensional hyperbolic systems of conservation laws. Our schemes are based on an adaption strategy recently introduced in [{\…