Highly efficient invariant-conserving explicit Runge-Kutta schemes for nonlinear Hamiltonian differential equations
Hong Zhang, Qian Xu, Jingye Yan, Songhe Song
Topics & Concepts
Runge–Kutta methodsMathematicsDiscretizationNonlinear systemConservation lawOdeInvariant (physics)Rate of convergenceMathematical analysisApplied mathematicsQuadratic equationOrdinary differential equationPartial differential equationHamiltonian (control theory)Differential equationMathematical optimizationComputer sciencePhysicsGeometryChannel (broadcasting)Quantum mechanicsComputer networkMathematical physicsNumerical methods for differential equationsDifferential Equations and Numerical MethodsComputational Fluid Dynamics and Aerodynamics