搜索结果: 1-5 共查到“计算数学 energy”相关记录5条 . 查询时间(0.058 秒)
Energy-conserving numerical methods for multi-symplectic Hamiltonian PDEs
Energy-conserving numerical methods Hamiltonian PDEs
2012/8/8
In this paper, the discrete gradient methods are investigated for ODEs with 痳st integral,
and the recursive formula is presented for deriving the high-order numerical methods. We
generalize the idea...
Several Pairs of Differential Operators and Their Applications in Variational Calculusof a General Third Order Energy
Di甧rential operator Euler-Lagrange equation Complete-variation Geo-metric energy functional Curvature
2012/8/8
Gradient, divergence and Laplace-Beltrami operators over surfaces have played im-
portant roles in many 痚lds related to geometry and analysis, such as di甧rential ge-
ometry, computational geometry a...
Exponential instability in the Gel'fand inverse problem on the energy intervals
Exponential instability Gel'fand inverse problem energy intervals
2011/1/20
We consider the Gel’fand inverse problem and continue studies of [Mandache,2001].We show that the Mandache-type instability remains valid even in the case of Dirichletto-Neumann map given on the energ...
Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems
geometric numerical integration long time numerical evolution
2010/12/15
We present a class of non-standard numerical schemes which are modifications of the discrete gradient method. They preserve the energy integral exactly (up to the round-off error). The considered clas...
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
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 ...