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math.NA2020★ 7 cited
Flux-corrected transport for scalar hyperbolic conservation laws and convection-diffusion equations by using linear programming
Sergii Kivva
Flux-corrected transport (FCT) is one of the flux limiter methods. Unlike the total variation diminishing methods, obtaining the known FCT formulas for computing flux limiters is n…
math.NA2020★ 8 cited
Entropy stable flux correction for scalar hyperbolic conservation laws
Sergii Kivva
It is known that Flux Corrected Transport algorithms can produce entropy-violating solutions of hyperbolic conservation laws. Our purpose is to design flux correction with maximal…