-
1
-
-
21344491735
-
On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms
-
Benettin G., Giogilli A. On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms. J. Stat. Phys. 74:1994;1117-1143.
-
(1994)
J. Stat. Phys.
, vol.74
, pp. 1117-1143
-
-
Benettin, G.1
Giogilli, A.2
-
2
-
-
0000534779
-
Gevrey regularity for nonlinear analytic parabolic equations on the sphere
-
Cao C., Rammaha M., Titi E. Gevrey regularity for nonlinear analytic parabolic equations on the sphere. J. Dyn. Differential Equations. 12:2000;411-433.
-
(2000)
J. Dyn. Differential Equations
, vol.12
, pp. 411-433
-
-
Cao, C.1
Rammaha, M.2
Titi, E.3
-
3
-
-
0000287007
-
Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation
-
Doelman A., Titi E. Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation. Numer. Funct. Anal. Opt. 14:1993;299-321.
-
(1993)
Numer. Funct. Anal. Opt.
, vol.14
, pp. 299-321
-
-
Doelman, A.1
Titi, E.2
-
4
-
-
0009522795
-
Introduction to adaptive methods for differential equations
-
A. Iserles (Eds.) Cambridge University Press, Cambridge
-
Eriksson K., Estep D., Hansbo P., Johnson C. Introduction to adaptive methods for differential equations. Iserles A. Acta Numerica 1995. 1995;105-158 Cambridge University Press, Cambridge.
-
(1995)
Acta Numerica 1995
, pp. 105-158
-
-
Eriksson, K.1
Estep, D.2
Hansbo, P.3
Johnson, C.4
-
5
-
-
0002062139
-
Gevrey regularity for nonlinear analytic parabolic equations
-
Ferrari A., Titi E. Gevrey regularity for nonlinear analytic parabolic equations. Commun. Partial Differential Equations. 23:1998;1-16.
-
(1998)
Commun. Partial Differential Equations
, vol.23
, pp. 1-16
-
-
Ferrari, A.1
Titi, E.2
-
6
-
-
0029691221
-
Discretization of homoclinic orbits, rapid forcing and "invisible" Chaos
-
B. Fiedler, J. Scheurle, Discretization of homoclinic orbits, rapid forcing and "invisible" Chaos, Mem. AMS 570 (1996).
-
(1996)
Mem. AMS
, vol.570
-
-
Fiedler, B.1
Scheurle, J.2
-
7
-
-
33746636159
-
Gevrey class regularity for the solution of the Navier Stokes equations
-
Foias C., Temam R. Gevrey class regularity for the solution of the Navier Stokes Equations. J. Funct. Anal. 87:1989;359-369.
-
(1989)
J. Funct. Anal.
, vol.87
, pp. 359-369
-
-
Foias, C.1
Temam, R.2
-
8
-
-
0031505057
-
The life-span of backward error analysis for numerical integrators
-
Hairer E., Lubich C. The life-span of backward error analysis for numerical integrators. Numer. Math. 76:1997;441-462.
-
(1997)
Numer. Math.
, vol.76
, pp. 441-462
-
-
Hairer, E.1
Lubich, C.2
-
9
-
-
0002788636
-
Asymptotic expansions and backward error analysis for numerical integrators
-
R. de la Llave, L.R. Petzold, J. Lorenz (Eds.) Springer, Berlin
-
Hairer E., Lubich C. Asymptotic expansions and backward error analysis for numerical integrators. R. de la Llave, L.R. Petzold, J. Lorenz (Eds.) Dynamics of Algorithms. IMA. Vol. 118:2000;91-106 Springer, Berlin.
-
(2000)
Dynamics of Algorithms IMA
, vol.118
, pp. 91-106
-
-
Hairer, E.1
Lubich, C.2
-
10
-
-
0003304963
-
Geometric theory of semilinear parabolic equations
-
Springer, New York
-
Henry D. Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Mathematics. Vol. 840:1983;Springer, New York.
-
(1983)
Lecture Notes in Mathematics
, vol.840
-
-
Henry, D.1
-
11
-
-
84968504982
-
Runge-Kutta methods for parabolic equations and convolution quadrature
-
Lubich C., Ostermann A. Runge-Kutta methods for parabolic equations and convolution quadrature. Math. Comput. 60:1993;105-131.
-
(1993)
Math. Comput.
, vol.60
, pp. 105-131
-
-
Lubich, C.1
Ostermann, A.2
-
12
-
-
0000971789
-
Interior estimates for time discretization of parabolic equations
-
Lubich C., Ostermann A. Interior estimates for time discretization of parabolic equations. Appl. Numer. Math. 18:1995;241-251.
-
(1995)
Appl. Numer. Math.
, vol.18
, pp. 241-251
-
-
Lubich, C.1
Ostermann, A.2
-
13
-
-
0030288775
-
Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: Nonsmooth-data error estimates and long time behaviour
-
Lubich C., Ostermann A. Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: nonsmooth-data error estimates and long time behaviour. Appl. Numer. Math. 22:1996;279-292.
-
(1996)
Appl. Numer. Math.
, vol.22
, pp. 279-292
-
-
Lubich, C.1
Ostermann, A.2
-
14
-
-
0035920037
-
Time-averaging under fast periodic forcing of parabolic partial differential equations: Exponential estimates
-
Matthies K. Time-averaging under fast periodic forcing of parabolic partial differential equations: exponential estimates. J. Differential Equations. 174:2001;133-180.
-
(2001)
J. Differential Equations
, vol.174
, pp. 133-180
-
-
Matthies, K.1
-
15
-
-
0021660205
-
On the separation of motions in systems with rapidly rotating phase
-
Neishtadt A. On the separation of motions in systems with rapidly rotating phase. J. Appl. Math. Mech. 48:1984;134-139.
-
(1984)
J. Appl. Math. Mech.
, vol.48
, pp. 134-139
-
-
Neishtadt, A.1
-
16
-
-
0001444647
-
Backward error analysis for numerical integrators
-
Reich S. Backward error analysis for numerical integrators. SIAM Numer. Anal. 36:1999;1549-1570.
-
(1999)
SIAM Numer. Anal.
, vol.36
, pp. 1549-1570
-
-
Reich, S.1
-
17
-
-
84971897259
-
Symplectic integrators for Hamiltonian problems: An overview
-
Sanz-Serna J.M. Symplectic integrators for Hamiltonian problems: an overview. Acta Numer. 1:1992;243-286.
-
(1992)
Acta Numer.
, vol.1
, pp. 243-286
-
-
Sanz-Serna, J.M.1
-
18
-
-
0000441660
-
Perturbation theory for infinite dimensional dynamical systems
-
M. Ainsworth, J. Levesley, W.A. Light, M. Merletta (Eds.), Clarendon Press, Oxford.
-
Stuart A. Perturbation theory for infinite dimensional dynamical systems. M. Ainsworth, J. Levesley, W.A. Light, M. Merletta (Eds.). Theory and Numerics of Ordinary and Partial Differential Equations. Advances in Numerical Analysis. Vol. IV:1995;181-290 Clarendon Press, Oxford.
-
(1995)
Theory and Numerics of Ordinary and Partial Differential Equations, Advances in Numerical Analysis
, vol.4
, pp. 181-290
-
-
Stuart, A.1
-
19
-
-
0003424544
-
Infinite-dimensional dynamical dystems in mechanics and physics
-
Springer, New York
-
Temam R. Infinite-Dimensional Dynamical Dystems in Mechanics and Physics. Applied Mathematical Sciences. Vol. 68:1988;Springer, New York.
-
(1988)
Applied Mathematical Sciences
, vol.68
-
-
Temam, R.1
-
20
-
-
0000125555
-
Group velocity in finite difference schemes
-
Trefethen L.N. Group velocity in finite difference schemes. SIAM Rev. 24:1982;113-136.
-
(1982)
SIAM Rev.
, vol.24
, pp. 113-136
-
-
Trefethen, L.N.1
-
21
-
-
49549156305
-
The modified equation approach to the stability and accuracy analysis of finite-difference methods
-
Warming R., Hyett B. The modified equation approach to the stability and accuracy analysis of finite-difference methods. J. Comput. Phys. 14:1974;159-179.
-
(1974)
J. Comput. Phys.
, vol.14
, pp. 159-179
-
-
Warming, R.1
Hyett, B.2
-
22
-
-
54649083385
-
Invariant manifolds for nonautonomous systems with applications to one-step methods
-
Zou Y., Beyn W. Invariant manifolds for nonautonomous systems with applications to one-step methods. J. Dyn. Differential Equations. 10:1998;379-407.
-
(1998)
J. Dyn. Differential Equations
, vol.10
, pp. 379-407
-
-
Zou, Y.1
Beyn, W.2
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