Least-squares ReLU neural network (LSNN) method for scalar nonlinear hyperbolic conservation law
Zhiqiang Cai, Jingshuang Chen, Min Liu
Topics & Concepts
MathematicsConservation lawArtificial neural networkScalar (mathematics)DiscretizationNonlinear systemApplied mathematicsNumerical analysisGibbs phenomenonNon-linear least squaresHyperbolic partial differential equationPartition of unityPartial differential equationMathematical analysisAlgorithmFinite element methodGeometryComputer scienceEstimation theoryArtificial intelligenceThermodynamicsPhysicsQuantum mechanicsFourier transformModel Reduction and Neural NetworksFluid Dynamics and Turbulent FlowsComputational Fluid Dynamics and Aerodynamics