Qin, Mengzhao A difference scheme for the Hamiltonian equation. (English) Zbl 0633.65133 J. Comput. Math. 5, 203-209 (1987). The author proposes a difference scheme suitable for the nonquadratic Hamiltonian function of second order, after discussing Kang Feng’s three types of difference schemes for the Hamiltonian equation [ibid. 4, 279-288 (1986; Zbl 0596.65090)]. The equation for the compressible fluid after a Clebsch transformation is used as an example. Reviewer: K.T.S.Iyengar Cited in 2 Documents MSC: 65Z05 Applications to the sciences 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics 35Q99 Partial differential equations of mathematical physics and other areas of application Keywords:stability; hopscotch scheme; difference scheme; nonquadratic Hamiltonian function of second order; Hamiltonian equation; Clebsch transformation Citations:Zbl 0596.65090 PDFBibTeX XMLCite \textit{M. Qin}, J. Comput. Math. 5, 203--209 (1987; Zbl 0633.65133)