Physics-informed neural networks for approximating dynamic (hyperbolic) PDEs of second order in time: Error analysis and algorithms
Yanxia Qian, Yongchao Zhang, Yunqing Huang, Suchuan Dong
Topics & Concepts
Partial differential equationArtificial neural networkHyperbolic functionHyperbolic partial differential equationNonlinear systemFunction (biology)AlgorithmTime derivativeBounded functionApplied mathematicsField (mathematics)Wave equationFunction approximationMathematicsMathematical analysisPhysicsComputer scienceArtificial intelligencePure mathematicsBiologyQuantum mechanicsEvolutionary biologyModel Reduction and Neural NetworksFluid Dynamics and Turbulent FlowsMagnetic Properties and Applications