A new invariant-domain-preserving framework for 1D PAMPA schemes with a provably IDP cell-average update and an unconditionally positivity-preserving point-value update via softplus/ReLU variable transformations.
Barsukow, The active flux scheme for nonlinear problems, Journal of Scientific Computing, 86 (2020), p
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A Novel and Simple Invariant-Domain-Preserving Framework for PAMPA Scheme: 1D Case
A new invariant-domain-preserving framework for 1D PAMPA schemes with a provably IDP cell-average update and an unconditionally positivity-preserving point-value update via softplus/ReLU variable transformations.