ResearchBenchmarksPDE solution prediction and conservation on Wave EquationPDE solution prediction and conservation on Wave EquationFollow0.0195Error uPINN-Proj0.0189760.0225130.026050.029587Nov 12, 2025Evaluation resultsMethodMethodLinksError uError cLError cQPINN-ProjConstraint Type=LinearConstraint Type=Linear2025.110.01950—PINN-ProjConstraint Type=BothConstraint Type=Both2025.110.026800PINN-ProjConstraint Type=QuadraticConstraint Type=Quadratic2025.110.0326—0