3 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.NA2025
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 [{\…
cs.LG2023
Topology-enhanced machine learning for speech signal processing
Pingyao Feng, Siheng Yi, Haiyu Zhang +4
In artificial-intelligence-aided signal processing, existing deep learning models often exhibit a black-box structure. Here, conceptually beyond spectral analysis, we demonstrate t…