A note on higher-order and nonlinear limiting approaches for continuously bounds-preserving discontinuous Galerkin methods

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)

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Synchronized flux limiting for gas dynamics variables
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Subcell limiting strategies for discontinuous Galerkin spectral element methods
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Maps of convex sets and invariant regions for finite-difference systems of conservation laws
Analysis on physical-constraint-preserving high-order discontinuous Galerkin method for solving Kapila's five-equation model
High-order methods for hypersonic flows with strong shocks and real chemistry
Positivity-preserving and entropy-bounded discontinuous Galerkin method for the chemically reacting, compressible Euler equations. I: The one-dimensional case
Continuously bounds-preserving discontinuous Galerkin methods for hyperbolic conservation laws

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