Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifolds
Harsh Sharma, Hongliang Mu, Patrick Buchfink, Rudy Geelen, Silke Glas, Boris Krämer
Topics & Concepts
Symplectic geometryLinear subspaceQuadratic equationMathematicsHamiltonian (control theory)Hamiltonian systemApplied mathematicsDimensionality reductionSymplectic integratorReduction (mathematics)Symplectic manifoldMathematical analysisPure mathematicsComputer scienceMathematical optimizationGeometryArtificial intelligenceModel Reduction and Neural NetworksNumerical methods for differential equationsElectromagnetic Simulation and Numerical Methods