-
1
-
-
21344491735
-
On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
-
Benettin, G., Giorgilli, A.: On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms. J. Statist. Phys. 74, 1117-1143 (1994)
-
(1994)
J. Statist. Phys.
, vol.74
, pp. 1117-1143
-
-
Benettin, G.1
Giorgilli, A.2
-
2
-
-
0037832748
-
Multi-symplectic intergrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity
-
Bridges, T., Reich, S.: Multi-symplectic intergrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity. Phys. Lett. A 284, 184-193 (2001)
-
(2001)
Phys. Lett. A
, vol.284
, pp. 184-193
-
-
Bridges, T.1
Reich, S.2
-
3
-
-
0007425310
-
A new approach for the analysis of vortex methods in two and three dimensions
-
Cottet, G.H.: A new approach for the analysis of vortex methods in two and three dimensions. Ann. Analysis Nonlineaire Henri Poinc. 5, 227-285 (1988)
-
(1988)
Ann. Analysis Nonlineaire Henri Poinc.
, vol.5
, pp. 227-285
-
-
Cottet, G.H.1
-
4
-
-
0031540242
-
Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation
-
de Frutos, J., Sanz-Serna, J.M.: Accuracy and conservation properties in numerical integration: the case of the Korteweg-de Vries equation. Numer. Math. 75, 421-445 (1997)
-
(1997)
Numer. Math.
, vol.75
, pp. 421-445
-
-
De Frutos, J.1
Sanz-Serna, J.M.2
-
5
-
-
11144279715
-
Numerical analysis in modern scientific computing: An introduction
-
2nd edition, Springer
-
Deuflhard, P., Hohmann, A.: Numerical Analysis in Modern Scientific Computing: An Introduction. Text in Applied Mathematics, Vol. 43, 2nd edition, Springer 2003
-
(2003)
Text in Applied Mathematics
, vol.43
-
-
Deuflhard, P.1
Hohmann, A.2
-
6
-
-
0002062139
-
Gevrey regularity for nonlinear analytic parabolic equations
-
Ferrari, A.B., Titi, E.S.: Gevrey regularity for nonlinear analytic parabolic equations. Commun. Partial Diff. Eqs. 23, 1-16 (1998)
-
(1998)
Commun. Partial Diff. Eqs.
, vol.23
, pp. 1-16
-
-
Ferrari, A.B.1
Titi, E.S.2
-
7
-
-
0003483217
-
-
Springer, New York
-
Golubitsky, M., Schaeffer, D., Stewart, I.: Singularities and Groups in Bifurcation Theory: Vol. II. Applied Mathematical Sciences 69, Springer, New York, 1988
-
(1988)
Groups Singularities and Groups in Bifurcation Theory: Vol. II. Applied Mathematical Sciences
, vol.69
-
-
Golubitsky, M.1
Schaeffer, D.2
Stewart, I.3
-
8
-
-
0000566698
-
Backward analysis of numerical integrators and symplectic methods
-
Hairer, E.: 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
-
9
-
-
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(4), 441-462 (1997)
-
(1997)
Numer. Math.
, vol.76
, Issue.4
, pp. 441-462
-
-
Hairer, E.1
Lubich, C.2
-
10
-
-
0003835647
-
-
Springer, Berlin
-
Hairer, E., Lubich, C., Wanner, G.; Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Springer, Berlin, 2002
-
(2002)
Geometric Numerical Integration. Structure-preserving Algorithms for Ordinary Differential Equations
-
-
Hairer, E.1
Lubich, C.2
Wanner, G.3
-
11
-
-
0003304963
-
Geometric theory of semilinear parabolic equations
-
Springer, New York
-
Henry, D.: Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Mathematics 840, Springer, New York, 1983
-
(1983)
Lecture Notes in Mathematics
, vol.840
-
-
Henry, D.1
-
12
-
-
0034349011
-
Travelling waves in a chain of coupled nonlinear oscillators
-
Iooss, G., Kirchgässner, K.: Travelling waves in a chain of coupled nonlinear oscillators. Commun. Math. Phys. 211, 439-464 (2000)
-
(2000)
Commun. Math. Phys.
, vol.211
, pp. 439-464
-
-
Iooss, G.1
Kirchgässner, K.2
-
13
-
-
0000781993
-
The complex Ginzburg-Landau equation as a model problem
-
AMS, Providence, Rhode Island
-
Levermore, C.D., Oliver, M.: The Complex Ginzburg-Landau Equation as a Model Problem. In: Lectures in Applied Mathematics 31, AMS, Providence, Rhode Island, 1996, pp. 141-190
-
(1996)
Lectures in Applied Mathematics
, vol.31
, pp. 141-190
-
-
Levermore, C.D.1
Oliver, M.2
-
14
-
-
2942522098
-
Asynchronous variational integrators
-
to appear
-
Lew, A., Marsden, J.E., Ortiz, M., West, M.: Asynchronous variational integrators. Arch. Rat. Mech. Anal. (to appear), 2002
-
(2002)
Arch. Rat. Mech. Anal.
-
-
Lew, A.1
Marsden, J.E.2
Ortiz, M.3
West, M.4
-
15
-
-
0041465981
-
Discrete Gevrey regularity, attractors and upper-semicontinuity for a finite difference approximation to the Ginzburg-Landau equation
-
Lord, G.J., Stuart, A.M.: Discrete Gevrey regularity, attractors and upper-semicontinuity for a finite difference approximation to the Ginzburg-Landau equation. Numer. Funct. Anal. Optimiz. 16, 1003-1047 (1995)
-
(1995)
Numer. Funct. Anal. Optimiz.
, vol.16
, pp. 1003-1047
-
-
Lord, G.J.1
Stuart, A.M.2
-
16
-
-
0003643366
-
-
Springer, New York, Berlin, Heidelberg
-
Marsden, J.E., Ratiu, T.S.: Introduction to Mechanics and Symmetry. Springer, New York, Berlin, Heidelberg, 1994
-
(1994)
Introduction to Mechanics and Symmetry
-
-
Marsden, J.E.1
Ratiu, T.S.2
-
17
-
-
0032476963
-
Multisymplectic geometry, variational integrators, and nonlinear PDEs
-
Marsden, J.E., Patrick, G., Shkoller, S.: 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.2
Shkoller, S.3
-
18
-
-
84959193128
-
Discrete mechanics and variational integrators
-
Marsden, J.E., West, M.: Discrete mechanics and variational integrators. Acta Num. 10, 357-514 (2001)
-
(2001)
Acta Num.
, vol.10
, pp. 357-514
-
-
Marsden, J.E.1
West, M.2
-
19
-
-
0037210275
-
Backward error analysis of a full discretisation scheme for a class of parabolic partial differential equations
-
Matthies, K.: Backward error analysis of a full discretisation scheme for a class of parabolic partial differential equations. Nonlinear Anal. Theory Methods Appl. 52, 805-826 (2003)
-
(2003)
Nonlinear Anal. Theory Methods Appl.
, vol.52
, pp. 805-826
-
-
Matthies, K.1
-
20
-
-
2942581882
-
Exponential averaging of Hamiltonian evolution equations
-
To appear
-
Matthies, K., Scheel, A.: Exponential averaging of Hamiltonian evolution equations. Trans. AMS. To appear
-
Trans. AMS.
-
-
Matthies, K.1
Scheel, A.2
-
21
-
-
2942611717
-
Backward error analysis for Hamiltonian PDEs with applications to nonlinear wave equations
-
To appear
-
Moore, B., Reich, S.: Backward error analysis for Hamiltonian PDEs with applications to nonlinear wave equations. Numer. Math. To appear
-
Numer. Math.
-
-
Moore, B.1
Reich, S.2
-
22
-
-
0021660205
-
On the separation of motions in systems with rapidly rotating phase
-
Neishtadt, A.I.: On the separation of motions in systems with rapidly rotating phase. J. Appl. Math. Mech. 48, 134-139 (1984)
-
(1984)
J. Appl. Math. Mech.
, vol.48
, pp. 134-139
-
-
Neishtadt, A.I.1
-
23
-
-
0009798843
-
The vortex blob method as a second-grade non-Newtonian fluid
-
Oliver, M., Shkoller, S.: The vortex blob method as a second-grade non-Newtonian fluid. Commun. Partial Diff. Eqs. 26, 295-314 (2001)
-
(2001)
Commun. Partial Diff. Eqs.
, vol.26
, pp. 295-314
-
-
Oliver, M.1
Shkoller, S.2
-
24
-
-
0003316678
-
Semigroups of linear operators and applications to partial differential equations
-
Springer, New York
-
Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. Applied Mathematical Sciences 44, Springer, New York, 1983
-
(1983)
Applied Mathematical Sciences
, vol.44
-
-
Pazy, A.1
-
26
-
-
2942520479
-
Higher order estimates and smoothness of nonlinear wave equations
-
Reed, M.C.: Higher order estimates and smoothness of nonlinear wave equations. Proc. Am. Math. Soc. 51, 79-85 (1975)
-
(1975)
Proc. Am. Math. Soc.
, vol.51
, pp. 79-85
-
-
Reed, M.C.1
-
27
-
-
0001444647
-
Backward error analysis for numerical integrators
-
Reich, S.: Backward error analysis for numerical integrators. SIAM J. Numer. Anal. 36(5), 1549-1570 (1999)
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, Issue.5
, pp. 1549-1570
-
-
Reich, S.1
-
28
-
-
2942515543
-
Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
-
Reich, S.: Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations. J. Com. Phys. 156, 1-27 (1999)
-
(1999)
J. Com. Phys.
, vol.156
, pp. 1-27
-
-
Reich, S.1
-
29
-
-
84971897259
-
Symplectic integrators for Hamiltonian problems: An overview
-
Sanz-Serna, J.: Symplectic integrators for Hamiltonian problems: An overview. Acta Numerica 1, 243-286 (1992)
-
(1992)
Acta Numerica
, vol.1
, pp. 243-286
-
-
Sanz-Serna, J.1
-
30
-
-
0038379503
-
Does variable step size ruin a symplectic integrator?
-
Skeel, R.D., Gear, C.W.: Does variable step size ruin a symplectic integrator? Physica 060, 311-313 (1992)
-
(1992)
Physica
, vol.60
, pp. 311-313
-
-
Skeel, R.D.1
Gear, C.W.2
|