-
1
-
-
36749107196
-
Higher Euler operators and some of their applications
-
S. J. Aldersley, Higher Euler operators and some of their applications, J. Math. Phys. 20 (1979), 522-531.
-
(1979)
J. Math. Phys.
, vol.20
, pp. 522-531
-
-
Aldersley, S.J.1
-
2
-
-
0036815244
-
Direct construction method for conservation laws of partial differential equations. Part I: Examples of conservation law classifications
-
S. C. Anco and G. Bluman, Direct construction method for conservation laws of partial differential equations. Part I: Examples of conservation law classifications, European J. Appl. Math. 13 (2002), 545-566.
-
(2002)
European J. Appl. Math.
, vol.13
, pp. 545-566
-
-
Anco, S.C.1
Bluman, G.2
-
3
-
-
0036813974
-
Direct construction method for conservation laws of partial differential equations. Part II: General treatment
-
S. C. Anco and G. Bluman, Direct construction method for conservation laws of partial differential equations. Part II: General treatment, European J. Appl. Math. 13 (2002), 567-585.
-
(2002)
European J. Appl. Math.
, vol.13
, pp. 567-585
-
-
Anco, S.C.1
Bluman, G.2
-
4
-
-
0001869587
-
Introduction to the variational bicomplex
-
American Mathematical Society, Providence, RI
-
I. M. Anderson, Introduction to the variational bicomplex, Contemp. Math., Vol. 132, American Mathematical Society, Providence, RI, 1992, pp. 51-73.
-
(1992)
Contemp. Math.
, vol.132
, pp. 51-73
-
-
Anderson, I.M.1
-
6
-
-
0042137401
-
Multi-symplectic structures and wave propagation
-
T. J. Bridges, Multi-symplectic structures and wave propagation, Math. Proc. Cambridge Philos. Soc. 121 (1997), 147-190.
-
(1997)
Math. Proc. Cambridge Philos. Soc.
, vol.121
, pp. 147-190
-
-
Bridges, T.J.1
-
7
-
-
0030695841
-
A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities
-
T. J. Bridges, A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities, Proc. Roy. Soc. London Ser. A 453 (1997), 1365-1395.
-
(1997)
Proc. Roy. Soc. London Ser. A
, vol.453
, pp. 1365-1395
-
-
Bridges, T.J.1
-
8
-
-
0037832748
-
Multi-symplectic integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity
-
T. J. Bridges and S. Reich, Multi-symplectic integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity, Phys. Lett. A 284 (2001), 184-193.
-
(2001)
Phys. Lett. A
, vol.284
, pp. 184-193
-
-
Bridges, T.J.1
Reich, S.2
-
9
-
-
0031642929
-
An invariant moving mesh scheme for the nonlinear diffusion equation
-
C. J. Budd and G. J. Collins, An invariant moving mesh scheme for the nonlinear diffusion equation, Appl. Numer. Math. 26 (1998), 23-39.
-
(1998)
Appl. Numer. Math.
, vol.26
, pp. 23-39
-
-
Budd, C.J.1
Collins, G.J.2
-
10
-
-
0000061930
-
Geometric integration: Numerical solution of differential equations on manifolds
-
C. J. Budd and A. Iserles, Geometric integration: Numerical solution of differential equations on manifolds, Philos. Trans. Roy. Soc. London Ser. A 357 (1999), 945-956.
-
(1999)
Philos. Trans. Roy. Soc. London Ser. A
, vol.357
, pp. 945-956
-
-
Budd, C.J.1
Iserles, A.2
-
11
-
-
0014759217
-
Discrete calculus of variations
-
J. A. Cadzow, Discrete calculus of variations, Internat. J. Control 11 (1970), 393-407.
-
(1970)
Internat. J. Control
, vol.11
, pp. 393-407
-
-
Cadzow, J.A.1
-
12
-
-
0034342220
-
Lie group classification of second-order ordinary difference equations
-
V. A. Dorodnitsyn, R. Kozlov, and P. Winternitz, Lie group classification of second-order ordinary difference equations, J. Math. Phys. 41 (2000), 480-504.
-
(2000)
J. Math. Phys.
, vol.41
, pp. 480-504
-
-
Dorodnitsyn, V.A.1
Kozlov, R.2
Winternitz, P.3
-
13
-
-
0035545769
-
Noether-type theorems for difference equations
-
V. A. Dorodnitsyn, Noether-type theorems for difference equations, Appl. Numer. Math. 39 (2001), 307-321.
-
(2001)
Appl. Numer. Math.
, vol.39
, pp. 307-321
-
-
Dorodnitsyn, V.A.1
-
14
-
-
0003355320
-
Symmetry of finite-difference equations
-
(N. H. Ibragimov, ed.), CRC Press, Boca Raton
-
V. A. Dorodnitsyn, Symmetry of finite-difference equations, in CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 1 (N. H. Ibragimov, ed.), CRC Press, Boca Raton, pp. 365-403, 1994.
-
(1994)
CRC Handbook of Lie Group Analysis of Differential Equations
, vol.1
, pp. 365-403
-
-
Dorodnitsyn, V.A.1
-
15
-
-
21844515167
-
Lie symmetries of finite-difference equations
-
R. Floreanini and L. Vinet, Lie symmetries of finite-difference equations, J. Math. Phys. 36 (1995), 7024-7042.
-
(1995)
J. Math. Phys.
, vol.36
, pp. 7024-7042
-
-
Floreanini, R.1
Vinet, L.2
-
16
-
-
0040639061
-
Lie-point symmetries of discrete versus continuous dynamical systems
-
G. Gaeta, Lie-point symmetries of discrete versus continuous dynamical systems, Phys. Lett. A 178 (1993), 376-384.
-
(1993)
Phys. Lett. A
, vol.178
, pp. 376-384
-
-
Gaeta, G.1
-
19
-
-
0000914217
-
Symbolic software for Lie symmetry analysis
-
(N. H. Ibragimov, ed.), CRC Press, Boca Raton
-
W. Hereman, Symbolic software for Lie symmetry analysis, in CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 3 (N. H. Ibragimov, ed.), CRC Press, Boca Raton, pp. 367-413, 1996.
-
(1996)
CRC Handbook of Lie Group Analysis of Differential Equations
, vol.3
, pp. 367-413
-
-
Hereman, W.1
-
22
-
-
33746458883
-
Symmetries and first integrals of ordinary difference equations
-
P. E. Hydon, Symmetries and first integrals of ordinary difference equations, Proc. Roy. Soc. London Ser. A 456 (2000), 2835-2855.
-
(2000)
Proc. Roy. Soc. London Ser. A
, vol.456
, pp. 2835-2855
-
-
Hydon, P.E.1
-
23
-
-
0035824451
-
Conservation laws of partial difference equations with two independent variables
-
P. E. Hydon, Conservation laws of partial difference equations with two independent variables, J. Phys. A: Math. Gen. 34 (2001), 10347-10355.
-
(2001)
J. Phys. A: Math. Gen.
, vol.34
, pp. 10347-10355
-
-
Hydon, P.E.1
-
24
-
-
85001667552
-
Lie-group methods
-
A. Iserles, H. Munthe-Kaas, S. P. Nørsett, and A. Zanna, Lie-group methods, Acta Numerica 9 (2000), 215-365.
-
(2000)
Acta Numerica
, vol.9
, pp. 215-365
-
-
Iserles, A.1
Munthe-Kaas, H.2
Nørsett, S.P.3
Zanna, A.4
-
25
-
-
0346968523
-
On the solution of linear differential equations in Lie groups
-
A. Iserles and S. P. Nørsett, On the solution of linear differential equations in Lie groups, Philos. Trans. Roy. Soc. London Ser. A 357 (1999), 983-1019.
-
(1999)
Philos. Trans. Roy. Soc. London Ser. A
, vol.357
, pp. 983-1019
-
-
Iserles, A.1
Nørsett, S.P.2
-
26
-
-
0002506343
-
Discrete lax equations and differential-difference calculus
-
B. Kupershmidt, Discrete Lax equations and differential-difference calculus, Astérisque 123 (1985).
-
(1985)
Astérisque
, vol.123
-
-
Kupershmidt, B.1
-
27
-
-
0001529171
-
Difference equations and conservation laws
-
T. D. Lee, Difference equations and conservation laws, J. Statist. Phys. 46. (1987), 843-860.
-
(1987)
J. Statist. Phys.
, vol.46
, pp. 843-860
-
-
Lee, T.D.1
-
28
-
-
0040944374
-
Lie group formalism for difference equations
-
D. Levi, L. Vinet, and P. Winternitz, Lie group formalism for difference equations, J. Phys. A: Math. Gen. 30 (1997), 633-649.
-
(1997)
J. Phys. A: Math. Gen.
, vol.30
, pp. 633-649
-
-
Levi, D.1
Vinet, L.2
Winternitz, P.3
-
29
-
-
0031530864
-
Conditions for the existence of higher symmetries of evolutionary equations on the lattice
-
D. Levi and R. Yamilov, Conditions for the existence of higher symmetries of evolutionary equations on the lattice, J. Math. Phys. 38 (1997), 6648-6674.
-
(1997)
J. Math. Phys.
, vol.38
, pp. 6648-6674
-
-
Levi, D.1
Yamilov, R.2
-
30
-
-
0040827065
-
First integrals in the discrete calculus of variations
-
J. D. Logan, First integrals in the discrete calculus of variations, Aequationes Math. 9 (1973), 210-220.
-
(1973)
Aequationes Math.
, vol.9
, pp. 210-220
-
-
Logan, J.D.1
-
31
-
-
0001156359
-
Canonical structure and symmetries for discrete systems
-
S. Maeda, Canonical structure and symmetries for discrete systems, Math. Japon. 4 (1980), 405-420.
-
(1980)
Math. Japon.
, vol.4
, pp. 405-420
-
-
Maeda, S.1
-
32
-
-
0038957699
-
The similarity method for difference equations
-
S. Maeda, The similarity method for difference equations, IMA J. Appl. Math. 38 (1987), 129-134.
-
(1987)
IMA J. Appl. Math.
, vol.38
, pp. 129-134
-
-
Maeda, S.1
-
33
-
-
33645464329
-
On a variational complex for difference equations
-
(Joshua A. Leslie and Thierry P. Robart, eds.), American Mathematical Society, Providence, RI
-
E. L. Mansfield and P. E. Hydon, On a variational complex for difference equations, in The Geometrical Study of Differential Equations (Joshua A. Leslie and Thierry P. Robart, eds.), American Mathematical Society, Providence, RI, 2001, pp. 121-129.
-
(2001)
The Geometrical Study of Differential Equations
, pp. 121-129
-
-
Mansfield, E.L.1
Hydon, P.E.2
-
34
-
-
0034782120
-
Towards approximations of difference equations which preserve first integrals
-
(B. Mourrain, ed.), ACM, New York
-
E. L. Mansfield and P. E. Hydon, Towards approximations of difference equations which preserve first integrals, in Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation (ISSAC 2001), (B. Mourrain, ed.), ACM, New York, 2001, pp. 217-222.
-
(2001)
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation (ISSAC 2001)
, pp. 217-222
-
-
Mansfield, E.L.1
Hydon, P.E.2
-
35
-
-
0032476963
-
Multisymplectic geometry, variational integrators, and nonlinear PDEs
-
J. E. Marsden, G. W. Patrick, and S. Shkoller, Multisymplectic geometry, variational integrators, and nonlinear PDEs, Comm. Math. Phys. 199 (1998), 351-395.
-
(1998)
Comm. Math. Phys.
, vol.199
, pp. 351-395
-
-
Marsden, J.E.1
Patrick, G.W.2
Shkoller, S.3
-
36
-
-
84959193128
-
Discrete mechanics and variational integrators
-
J. E. Marsden and M. West, Discrete mechanics and variational integrators, Acta Numerica 10 (2001), 357-514.
-
(2001)
Acta Numerica
, vol.10
, pp. 357-514
-
-
Marsden, J.E.1
West, M.2
-
37
-
-
0348229409
-
Geometric integration using discrete gradients
-
R. L. McLachlan, G. R. W. Quispel, and N. Robidoux, Geometric integration using discrete gradients, Philos. Trans. Roy. Soc. London Ser. A 357 (1999), 1021-1045.
-
(1999)
Philos. Trans. Roy. Soc. London Ser. A
, vol.357
, pp. 1021-1045
-
-
McLachlan, R.L.1
Quispel, G.R.W.2
Robidoux, N.3
-
38
-
-
0347669558
-
Runge-Kutta methods on Lie groups
-
H. Munthe-Kaas, Runge-Kutta methods on Lie groups, BIT 38 (1998), 92-111.
-
(1998)
BIT
, vol.38
, pp. 92-111
-
-
Munthe-Kaas, H.1
-
40
-
-
4243673219
-
Lie symmetries and the integration of difference equations
-
G. R. W. Quispel and R. Sahadevan, Lie symmetries and the integration of difference equations, Phys. Lett. A 184 (1993), 64-70.
-
(1993)
Phys. Lett. A
, vol.184
, pp. 64-70
-
-
Quispel, G.R.W.1
Sahadevan, R.2
-
42
-
-
0001482317
-
Classification of integrable evolution equations
-
V. V. Sokolov and A. B. Shabat, Classification of integrable evolution equations, Math. Phys. Rev. 4 (1984), 221-280.
-
(1984)
Math. Phys. Rev.
, vol.4
, pp. 221-280
-
-
Sokolov, V.V.1
Shabat, A.B.2
-
44
-
-
0002859047
-
Integrable discrete-time systems and difference operators
-
A. P. Veselov, Integrable discrete-time systems and difference operators, Functional Anal. Appl. 22 (1988), 83-93.
-
(1988)
Functional Anal. Appl.
, vol.22
, pp. 83-93
-
-
Veselov, A.P.1
-
45
-
-
0000029454
-
On the algebra-geometric foundations of Lagrangian field theory
-
A. M. Vinogradov, On the algebra-geometric foundations of Lagrangian field theory, Soviet Math. Dokl. 18 (1977), 1200-1204.
-
(1977)
Soviet Math. Dokl.
, vol.18
, pp. 1200-1204
-
-
Vinogradov, A.M.1
|