FQNM realizes the conservative operator as an antisymmetric integer transfer rule, proving exact conservation, monotonicity, TVD, L1 stability and convergence to the entropy solution for scalar laws with monotone flux splitting while collapsing distinct flux formulations to identical dynamics.
IEEE Access 5:9717–9727
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Continuum dynamics from quantised interaction rules
FQNM realizes the conservative operator as an antisymmetric integer transfer rule, proving exact conservation, monotonicity, TVD, L1 stability and convergence to the entropy solution for scalar laws with monotone flux splitting while collapsing distinct flux formulations to identical dynamics.