-
1
-
-
0003079278
-
Construction of symplectic schemes for wave equations via hyperbolic functions Sinh(X), Cosh(X), Tanh(X)
-
M.-Z. Qin and W. J. Zhu, "Construction of symplectic schemes for wave equations via hyperbolic functions sinh(x), cosh(x), tanh(x)," Comput. Math. Appl. 26, 1-11 (1993).
-
(1993)
Comput. Math. Appl.
, vol.26
, pp. 1-11
-
-
Qin, M.-Z.1
Zhu, W.J.2
-
2
-
-
0003034563
-
The symplectic method for computation of Hamiltonian system
-
edited by Y. L. Zhu and Guo Ben-Yu, in Lecture Notes in Mathematics (Springer-Verlag, Berlin, 1987)
-
K. Feng and M. Z. Qin, "The symplectic method for computation of Hamiltonian system," in Proceedings on Numerical Methods for PDEs, edited by Y. L. Zhu and Guo Ben-Yu, in Lecture Notes in Mathematics (Springer-Verlag, Berlin, 1987), Vol. 1297, pp. 1-37.
-
Proceedings on Numerical Methods for PDEs
, vol.1297
, pp. 1-37
-
-
Feng, K.1
Qin, M.Z.2
-
3
-
-
0000301299
-
A symplectic difference scheme for infinite dimensional Hamiltonian systems
-
C. W. Li and M. Z. Qin, "A symplectic difference scheme for infinite dimensional Hamiltonian systems," J. Comput. Math. 6, 164-174 (1988).
-
(1988)
J. Comput. Math.
, vol.6
, pp. 164-174
-
-
Li, C.W.1
Qin, M.Z.2
-
4
-
-
34249766017
-
Symplectic integration of Hamiltonian wave equations
-
R. Mclachlan, "Symplectic integration of Hamiltonian wave equations," Numer. Math. 66, 465-492 (1994).
-
(1994)
Numer. Math.
, vol.66
, pp. 465-492
-
-
Mclachlan, R.1
-
5
-
-
0001686631
-
Symplectic finite difference approximations of the nonlinear Klein-Gordon equation
-
D. B. Duncan, "Symplectic finite difference approximations of the nonlinear Klein-Gordon equation," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 34, 1742-1760 (1996).
-
(1996)
SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal.
, vol.34
, pp. 1742-1760
-
-
Duncan, D.B.1
-
6
-
-
0042137401
-
Multisymplectic structures and wave propagation
-
TH. J. Bridges, "Multisymplectic structures and wave propagation," Math. Proc. Cambridge Philos. Soc. 121, 147-190 (1997).
-
(1997)
Math. Proc. Cambridge Philos. Soc.
, vol.121
, pp. 147-190
-
-
Bridges, TH.J.1
-
7
-
-
0034687898
-
Multisymplectic Runge-Kutta methods for Hamiltonian wave equations
-
S. Reich, "Multisymplectic Runge-Kutta methods for Hamiltonian wave equations," J. Chem. Phys. 157, 473-499 (2000).
-
(2000)
J. Chem. Phys.
, vol.157
, pp. 473-499
-
-
Reich, S.1
-
9
-
-
0002956967
-
A multisymplectic framework for classical field theory and the calculus of variations
-
edited by M. Francaviglia
-
M. J. Gotay, "A multisymplectic framework for classical field theory and the calculus of variations," Mechanics, Analysis and Geometry 200 Years after Lagrange, edited by M. Francaviglia 1991, pp. 203-230.
-
(1991)
Mechanics, Analysis and Geometry 200 Years after Lagrange
, pp. 203-230
-
-
Gotay, M.J.1
-
10
-
-
0032476963
-
Multisymplectic geometry, variational integrators, and nonlinear PDEs
-
J. E. Marsden, G. W. Patrick, and S. Shkoller, "Multisymplectic geometry, variational integrators, and nonlinear PDEs," Commun. Math. Phys. 199, 351-395 (1998).
-
(1998)
Commun. Math. Phys.
, vol.199
, pp. 351-395
-
-
Marsden, J.E.1
Patrick, G.W.2
Shkoller, S.3
-
12
-
-
0000566698
-
Backward analysis of numerical integrators and symplectic methods
-
E. Hairer, "Backward analysis of numerical integrators and symplectic methods," Ann. Numer. Math. 1, 107-132 (1994).
-
(1994)
Ann. Numer. Math.
, vol.1
, pp. 107-132
-
-
Hairer, E.1
-
13
-
-
0039966698
-
Formal power series and numerical algorithms for dynamical systems
-
Hangzhou, China, Series on Applied Mathematics, edited by Y. Chan and Z.-C. Shi
-
F. Kang, "Formal power series and numerical algorithms for dynamical systems," Proceedings of the International Conference on Scientific Computation, Hangzhou, China, Series on Applied Mathematics, 1991, edited by Y. Chan and Z.-C. Shi, Vol. 1, pp. 28-35.
-
(1991)
Proceedings of the International Conference on Scientific Computation
, vol.1
, pp. 28-35
-
-
Kang, F.1
-
14
-
-
49549156305
-
The modified equation approach to the stability and accuracy of finite-difference methods
-
R. F. Warming and B. J. Hyett, "The modified equation approach to the stability and accuracy of finite-difference methods," J. Comput. Phys. 14, 159-179 (1974).
-
(1974)
J. Comput. Phys.
, vol.14
, pp. 159-179
-
-
Warming, R.F.1
Hyett, B.J.2
-
15
-
-
0001444647
-
Backward error analysis for numerical integrators
-
S. Reich, "Backward error analysis for numerical integrators," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 36, 1549-1570 (1999).
-
(1999)
SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal.
, vol.36
, pp. 1549-1570
-
-
Reich, S.1
-
16
-
-
0001079967
-
On correction first differential approximation of difference scheme
-
N. N. Yanenko, "On correction first differential approximation of difference scheme," Dokl. Akad. Nauk 182, 776-778 (1968).
-
(1968)
Dokl. Akad. Nauk
, vol.182
, pp. 776-778
-
-
Yanenko, N.N.1
-
17
-
-
0000094449
-
The Poincare-Cartan invariant in the calculus of variations
-
P. L. Carcia, "The Poincare-Cartan invariant in the calculus of variations," Symp. Math. 14, 219-246 (1974).
-
(1974)
Symp. Math.
, vol.14
, pp. 219-246
-
-
Carcia, P.L.1
-
18
-
-
26544443735
-
Symplectic approach to the theory of quantized fields. 1
-
P. L. Carcia and A. Pérez-Rendon, "Symplectic approach to the theory of quantized fields. 1," Commun. Math. Phys. 13, 24-44 (1969).
-
(1969)
Commun. Math. Phys.
, vol.13
, pp. 24-44
-
-
Carcia, P.L.1
Pérez-Rendon, A.2
|