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Alexander Kurganov
Researcher at Southern University of Science and Technology
Publications - 146
Citations - 7180
Alexander Kurganov is an academic researcher from Southern University of Science and Technology. The author has contributed to research in topics: Upwind scheme & Shallow water equations. The author has an hindex of 33, co-authored 116 publications receiving 6021 citations. Previous affiliations of Alexander Kurganov include University of Michigan & University of Science and Technology of China.
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New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection—Diffusion Equations
Alexander Kurganov,Eitan Tadmor +1 more
TL;DR: It is proved that a scalar version of the high-resolution central scheme is nonoscillatory in the sense of satisfying the total-variation diminishing property in the one-dimensional case and the maximum principle in two-space dimensions.
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Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
TL;DR: New Godunov-type semidiscrete central schemes for hyperbolic systems of conservation laws and Hamilton--Jacobi equations are introduced, based on the use of more precise information about the local speeds of propagation, and are called central-upwind schemes.
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A second-order well-balanced positivity preserving central-upwind scheme for the saint-venant system ∗
TL;DR: In this paper, an improved second-order central-upwind scheme was proposed, which is capable to both preserve stationary steady states (lake at rest) and to guarantee the positivity of the computed fluid depth.
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Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
Alexander Kurganov,Eitan Tadmor +1 more
TL;DR: In this article, the Riemann-solvers-free central scheme was used to solve the 2D case of the Euler problem for the Com- pressible Euler equations.
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Central-upwind schemes for the saint-venant system
Alexander Kurganov,Doron Levy +1 more
TL;DR: One- and two-dimensional central-upwind schemes for approximating solutions of the Saint-Venant system with source terms due to bottom topography are presented and it is proved that the second-order version of these schemes preserves the nonnegativity of the height of the water.