-
1
-
-
21344492077
-
Stabilization of DAEs and invariant manifolds
-
Ascher U.M., Chin H., Reich S. Stabilization of DAEs and invariant manifolds. Numer. Math. 67(2):1994;131-149.
-
(1994)
Numer. Math.
, vol.67
, Issue.2
, pp. 131-149
-
-
Ascher, U.M.1
Chin, H.2
Reich, S.3
-
2
-
-
0018992908
-
Lyapunov exponents for smooth dynamical systems and for Hamiltonian systems: A method for computing all of them. Part 1: Theory and Part 2: Numerical applications
-
Benettin G., Galgani L., Giorgilli A., Strelcyn J.M. Lyapunov exponents for smooth dynamical systems and for Hamiltonian systems: a method for computing all of them. Part 1: Theory and Part 2: Numerical applications. Meccanica. 15(9-20):1980;21-30.
-
(1980)
Meccanica
, vol.15
, Issue.920
, pp. 21-30
-
-
Benettin, G.1
Galgani, L.2
Giorgilli, A.3
Strelcyn, J.M.4
-
3
-
-
0000767390
-
The Orr-Sommerfeld equation on a manifold
-
Bridges T.J. The Orr-Sommerfeld equation on a manifold. Proc. R. Soc. London A. 455:1999;3019-3040.
-
(1999)
Proc. R. Soc. London a
, vol.455
, pp. 3019-3040
-
-
Bridges, T.J.1
-
4
-
-
0001274780
-
Computing Lyapunov spectra with continuous Gram-Schmidt orthonormalization
-
Christiansen F., Rugh H.H. Computing Lyapunov spectra with continuous Gram-Schmidt orthonormalization. Nonlinearity. 10:1997;1063-1072.
-
(1997)
Nonlinearity
, vol.10
, pp. 1063-1072
-
-
Christiansen, F.1
Rugh, H.H.2
-
5
-
-
0012999339
-
An automatic orthonormalization method for solving stiff boundary-value problems
-
Davey A. An automatic orthonormalization method for solving stiff boundary-value problems. J. Comp. Phys. 51:1983;343-356.
-
(1983)
J. Comp. Phys.
, vol.51
, pp. 343-356
-
-
Davey, A.1
-
6
-
-
0028374128
-
Unitary integrators and applications to continuous orthonormalization techniques
-
Dieci L., Russell R.D., van Vleck E.S. Unitary integrators and applications to continuous orthonormalization techniques. SIAM J. Numer. Anal. 31:1994;261-281.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 261-281
-
-
Dieci, L.1
Russell, R.D.2
Van Vleck, E.S.3
-
7
-
-
0000223905
-
On the computation of Lyapunov exponents for continuous dynamical systems
-
Dieci L., Russell R.D., van Vleck E.S. On the computation of Lyapunov exponents for continuous dynamical systems. SIAM J. Numer. Anal. 34:1997;402-423.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 402-423
-
-
Dieci, L.1
Russell, R.D.2
Van Vleck, E.S.3
-
8
-
-
0000288315
-
Computation of a few Lyapunov exponents for continuous and discrete dynamical systems
-
Dieci L., van Vleck E.S. Computation of a few Lyapunov exponents for continuous and discrete dynamical systems. Appl. Numer. Math. 17:1995;275-291.
-
(1995)
Appl. Numer. Math.
, vol.17
, pp. 275-291
-
-
Dieci, L.1
Van Vleck, E.S.2
-
9
-
-
0033426191
-
Computation of orthonormal factors for fundamental solution matrices
-
Dieci L., van Vleck E.S. Computation of orthonormal factors for fundamental solution matrices. Numer. Math. 83:1999;599-620.
-
(1999)
Numer. Math.
, vol.83
, pp. 599-620
-
-
Dieci, L.1
Van Vleck, E.S.2
-
10
-
-
0012107296
-
On systems of ordinary differential equations
-
Princeton University Press, Princeton, NJ
-
S.P. Diliberto, On systems of ordinary differential equations, in: Contributions to the Theory of Nonlinear Oscillations, Annals of Mathematical Studies, Vol. 20, Princeton University Press, Princeton, NJ, 1950.
-
(1950)
In: Contributions to the Theory of Nonlinear Oscillations, Annals of Mathematical Studies
, vol.20
-
-
Diliberto, S.P.1
-
11
-
-
0001727830
-
Symmetry property of Lyapunov spectra of a class of dissipative dynamical systems with viscous damping
-
Dressler U. Symmetry property of Lyapunov spectra of a class of dissipative dynamical systems with viscous damping. Phys. Rev. A. 38(4):1988;2103-2109.
-
(1988)
Phys. Rev. a
, vol.38
, Issue.4
, pp. 2103-2109
-
-
Dressler, U.1
-
13
-
-
0039523475
-
A procrustes problem on the Stiefel manifold
-
Eldén L., Park H. A procrustes problem on the Stiefel manifold. Numer. Math. 82:1999;599-619.
-
(1999)
Numer. Math.
, vol.82
, pp. 599-619
-
-
Eldén, L.1
Park, H.2
-
14
-
-
0000471425
-
Comparison of different methods for computing Lyapunov exponents
-
Geist K., Parlitz U., Lauterborn W. Comparison of different methods for computing Lyapunov exponents. Prog. Theor. Phys. 83:1990;875-893.
-
(1990)
Prog. Theor. Phys.
, vol.83
, pp. 875-893
-
-
Geist, K.1
Parlitz, U.2
Lauterborn, W.3
-
15
-
-
0000339553
-
The calculation of Lyapunov spectra
-
Greene J.M., Kim J.-S. The calculation of Lyapunov spectra. Physica D. 24:1987;213-225.
-
(1987)
Physica D
, vol.24
, pp. 213-225
-
-
Greene, J.M.1
Kim, J.-S.2
-
16
-
-
0012691331
-
Introduction of a metric tensor into linearized evolution equations
-
Greene J.M., Kim J.-S. Introduction of a metric tensor into linearized evolution equations. Physica D. 36:1989;83-91.
-
(1989)
Physica D
, vol.36
, pp. 83-91
-
-
Greene, J.M.1
Kim, J.-S.2
-
17
-
-
0007091042
-
Stability and Lyapunov stability of dynamical systems: A differential approach and a numerical method
-
Goldhirsch I., Sulem P.-L., Orszag S.A. Stability and Lyapunov stability of dynamical systems: a differential approach and a numerical method. Physica D. 27:1987;311-337.
-
(1987)
Physica D
, vol.27
, pp. 311-337
-
-
Goldhirsch, I.1
Sulem, P.-L.2
Orszag, S.A.3
-
18
-
-
0001957401
-
Time-stepping and preserving orthonormality
-
Higham D. Time-stepping and preserving orthonormality. BIT. 37:1997;24-36.
-
(1997)
BIT
, vol.37
, pp. 24-36
-
-
Higham, D.1
-
20
-
-
0004341311
-
-
Wiley, New York
-
S. Kobayashi, K. Nomizu, Foundations of Differential Geometry, Vol. II, Wiley, New York, 1969.
-
(1969)
Foundations of Differential Geometry
, vol.2
-
-
Kobayashi, S.1
Nomizu, K.2
-
21
-
-
84968499113
-
Symplectic methods for constrained Hamiltonian systems
-
Leimkuhler B., Reich S. Symplectic methods for constrained Hamiltonian systems. Math. Comp. 63:1994;589-605.
-
(1994)
Math. Comp.
, vol.63
, pp. 589-605
-
-
Leimkuhler, B.1
Reich, S.2
-
22
-
-
38249041394
-
Continuous orthonormalization for boundary-value problems
-
Meyer G.H. Continuous orthonormalization for boundary-value problems. J. Comp. Phys. 82:1986;248-262.
-
(1986)
J. Comp. Phys.
, vol.82
, pp. 248-262
-
-
Meyer, G.H.1
-
23
-
-
0347669558
-
Runge-Kutta methods on Lie groups
-
Munthe-Kaas H. Runge-Kutta methods on Lie groups. BIT. 38:1998;92-111.
-
(1998)
BIT
, vol.38
, pp. 92-111
-
-
Munthe-Kaas, H.1
-
24
-
-
0032739660
-
High-order Runge-Kutta methods on manifolds
-
Munthe-Kaas H. High-order Runge-Kutta methods on manifolds. Appl. Numer. Math. 29:1999;115-127.
-
(1999)
Appl. Numer. Math.
, vol.29
, pp. 115-127
-
-
Munthe-Kaas, H.1
-
25
-
-
0002893406
-
Numerical integration of differential equations on homogeneous manifolds
-
in: F. Cucker, M. Shub (Eds.), Springer, Berlin
-
H. Munthe-Kaas, A. Zanna, Numerical integration of differential equations on homogeneous manifolds, in: F. Cucker, M. Shub (Eds.), Foundations of Computational Mathematics, Springer, Berlin, 1997, pp. 305-315.
-
(1997)
Foundations of Computational Mathematics
, pp. 305-315
-
-
Munthe-Kaas, H.1
Zanna, A.2
-
26
-
-
0345849832
-
A comparative study of computation of Lyapunov spectra with different algorithms
-
Ramasubramanian K., Sriram M.S. A comparative study of computation of Lyapunov spectra with different algorithms. Physica D. 139:2000;72-86.
-
(2000)
Physica D
, vol.139
, pp. 72-86
-
-
Ramasubramanian, K.1
Sriram, M.S.2
-
27
-
-
0001076525
-
Lyapunov exponents without rescaling and reorthogonalization
-
Rangarajan G., Habib S., Ryne R.D. Lyapunov exponents without rescaling and reorthogonalization. Phys. Rev. Lett. 80(17):1998;3747-3750.
-
(1998)
Phys. Rev. Lett.
, vol.80
, Issue.17
, pp. 3747-3750
-
-
Rangarajan, G.1
Habib, S.2
Ryne, R.D.3
-
29
-
-
0000545783
-
Richtungsfelder und Fernparallelismus in n -dimensionalen Mannigfaltigkeiten
-
Stiefel E. Richtungsfelder und Fernparallelismus in. n -dimensionalen Mannigfaltigkeiten Comm. Math. Helv. 8:1935;305-353.
-
(1935)
Comm. Math. Helv.
, vol.8
, pp. 305-353
-
-
Stiefel, E.1
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