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Generating Functions of Multi-symplectic PRK Methods via DW Hamilton-Jacobi Equations
Multi-Symplectic Partitioned Runge-Kutta Methods Generating Functions DW
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2012/8/7
In this paper we investigate Donder-Weyl (DW) Hamilton-Jacobi equations and establish the
connection between DW Hamilton-Jacobi equations and multi-symplectic Hamiltonian systems.
Based on the study...
THE CALCULUS OF GENERATING FUNCTIONS AND THE FORMAL ENERGY FORHAMILTONIAN ALGORITHMS
enerating function calculus of generating functions Darboux transformation cotangent bundles Lagrangian submanifold invariance of generating function formal energy
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2007/12/12
n [2--4], symplectic schemes of arbitrary order are constructed by
generating functions. However the construction of generating functions
is dependent on the chosen coordinates. One would like to ...