229 citations · 396 across the 31 of their papers we have counts for
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Fifth-Order Well-Balanced Path-Conservative A-WENO Scheme for the Ripa Model
Yan-Ping Qiu, Zhen Gao, Alexander Kurganov +2
In this work, we introduce a fifth-order well-balanced (WB) path-conservative A-WENO scheme with the central-upwind numerical fluxes (PCCU-5) for the Ripa model. The proposed schem…
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…
An Asymptotic-Preserving Dual Formulation Finite-Volume Method for the Thermal Rotating Shallow Water Equations
Alina Chertock, Alexander Kurganov, Lorenzo Micalizzi +1
We propose a new second-order asymptotic-preserving (AP) dual formulation finite-volume (DF-FV) method for the thermal rotating shallow water (TRSW) equations. The TRSW system mode…
A New Asymptotic-Preserving Dual Formulation Finite-Volume Method for the Compressible Euler Equations
Alina Chertock, Smadar Karni, Alexander Kurganov +1
The paper focuses on the development of numerical methods for the compressible Euler equations. It is well-known that if the Mach number is small, the system becomes stiff and henc…
New Adaptive Numerical Methods Based on Dual Formulation of Hyperbolic Conservation Laws
Alina Chertock, Qingcheng Fu, Alexander Kurganov +1
In this paper, we propose an adaptive high-order method for hyperbolic systems of conservation laws. The proposed method is based on a dual formulation approach: Two numerical solu…