Entropy solutions of scalar conservation laws are recovered as weak-star limits of nonlocal approximations with averaged fluxes via Hamilton-Jacobi stability.
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Numerical simulations of the Aw-Rascle-Zhang model on lattice networks produce scale-free congestion clusters with power-law size distributions and finite-size scaling.
GPU port of entropy-stable DG Euler solver with non-conservative buoyancy terms reaches nearly 70% of 64-bit peak on A100 volume kernels, delivers 10x speedup and 13x better energy efficiency versus CPU, and preserves symmetry-based flux savings.
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Nonlocal Approximation Principle for Entropy Solutions of Scalar Conservation Laws
Entropy solutions of scalar conservation laws are recovered as weak-star limits of nonlocal approximations with averaged fluxes via Hamilton-Jacobi stability.
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Scale-free congestion clusters in large-scale traffic networks: a continuum modeling study
Numerical simulations of the Aw-Rascle-Zhang model on lattice networks produce scale-free congestion clusters with power-law size distributions and finite-size scaling.
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GPU Performance of an Entropy-Stable Discontinuous Galerkin Euler Solver with Non-Conservative Terms
GPU port of entropy-stable DG Euler solver with non-conservative buoyancy terms reaches nearly 70% of 64-bit peak on A100 volume kernels, delivers 10x speedup and 13x better energy efficiency versus CPU, and preserves symmetry-based flux savings.