A new entropy-compatible neural network method for scalar conservation laws is developed with explicit L1 convergence rates O(h^{1/2}) for shock-containing piecewise smooth entropy solutions.
Commu- nications in Computational Physics 10(5), 1132–1160 (2011)
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A neural network method for scalar conservation laws with convergence rates for shock-wave solutions
A new entropy-compatible neural network method for scalar conservation laws is developed with explicit L1 convergence rates O(h^{1/2}) for shock-containing piecewise smooth entropy solutions.