G R W Quispel and G S Turner 1996 J. Phys. A: Math. Gen. 29 L341 doi:10.1088/0305-4470/29/13/006
G R W Quispel and G S Turner
Show affiliationsWe show that all direct methods for preserving a first integral during the numerical integration of an ordinary differential equation fit into the unified framework of discrete gradient methods. Using this framework we construct several new integral-preserving schemes.
02.30.Hq Ordinary differential equations
02.60.Jh Numerical differentiation and integration
02.60.Lj Ordinary and partial differential equations; boundary value problems
65Pxx Numerical problems in dynamical systems (See also 37Mxx)
Issue 13 (7 July 1996)
Received 26 March 1996
G R W Quispel and G S Turner 1996 J. Phys. A: Math. Gen. 29 L341
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