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math.NA2026
Adaptive Artificial Anti-Diffusion Methods for Hyperbolic Systems of Conservation Laws
Shaoshuai Chu, Igor Kliakhandler, Alexander Kurganov
We introduce new adaptive artificial anti-diffusion (AAAD) methods for one- and two-dimensional hyperbolic systems of conservation laws. The key idea is to reduce the amount of num…
math.NA2024
On the Gelfand Problem and Viscosity Matrices for Two-Dimensional Hyperbolic Systems of Conservation Laws
Shaoshuai Chu, Igor Kliakhandler, Alexander Kurganov
We present counter-intuitive examples of a viscous regularizations of a two-dimensional strictly hyperbolic system of conservation laws. The regularizations are obtained using two…