3 papers
math.NA2026
Compact Finite-Average-Moment Schemes with Single-Step Oscillation Elimination for Hyperbolic Conservation Laws
Chuan Fan, Kailiang Wu
High-order shock-capturing schemes often face severe computational bottlenecks due to wide stencils, stagewise nonlinear weights, and expensive local characteristic decompositions.…
math.NA2025
Provably realizability-preserving finite volume method for quadrature-based moment models of kinetic equations
Chuan Fan, Qian Huang, Kailiang Wu
Quadrature-based moment methods (QBMM) provide tractable closures for multiscale kinetic equations, with diverse applications across aerosols, sprays, and particulate flows, etc. H…
math.NA2024
High-Order Oscillation-Eliminating Hermite WENO Method for Hyperbolic Conservation Laws
Chuan Fan, Kailiang Wu
This paper proposes high-order accurate, oscillation-eliminating Hermite weighted essentially non-oscillatory (OE-HWENO) finite volume schemes for hyperbolic conservation laws. The…