-
3
-
-
21344491735
-
On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms
-
G. Benetin and A. Giorgilli, On the Hamiltonian interpolation of near to the identity symplectic mappings with application to symplectic integration algorithms, J. Statist. Phys., 74 (1994), pp. 1117-1143.
-
(1994)
J. Statist. Phys.
, vol.74
, pp. 1117-1143
-
-
Benetin, G.1
Giorgilli, A.2
-
4
-
-
33645212949
-
Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part II
-
G. Benettin, L. Galgani, and A. Giorgilli, Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part II, Comm. Math. Phys., 113 (1989), pp. 557-601.
-
(1989)
Comm. Math. Phys.
, vol.113
, pp. 557-601
-
-
Benettin, G.1
Galgani, L.2
Giorgilli, A.3
-
5
-
-
0004063739
-
Homogenization in Time of Singularly Perturbed Conservative Mechanical Systems
-
Springer-Verlag, Berlin
-
F. A. Bornemann, Homogenization in Time of Singularly Perturbed Conservative Mechanical Systems, Lecture Notes in Math. 1687, Springer-Verlag, Berlin, 1998.
-
(1998)
Lecture Notes in Math. 1687
-
-
Bornemann, F.A.1
-
6
-
-
3042695253
-
-
Technical Report, University of Surrey
-
T. J. Bridges, P. Hydon, and S. Reich, Vorticity and symplecticity in Lagrangian fluid dynamics, Technical Report, University of Surrey, 2002.
-
(2002)
Vorticity and Symplecticity in Lagrangian Fluid Dynamics
-
-
Bridges, T.J.1
Hydon, P.2
Reich, S.3
-
9
-
-
0346714416
-
The Hamiltonian particle-mesh method
-
M. Griebel and M. A. Schweitzer (eds), Meshfree Methods for Partial Differential Equations, Springer-Verlag, Berlin
-
J. Frank, G. Gottwald, and S. Reich, The Hamiltonian particle-mesh method, in M. Griebel and M. A. Schweitzer (eds), Meshfree Methods for Partial Differential Equations, Lecture Notes in Computational Science and Engineering 26, Springer-Verlag, Berlin, 2002, pp. 131-142.
-
(2002)
Lecture Notes in Computational Science and Engineering 26
, pp. 131-142
-
-
Frank, J.1
Gottwald, G.2
Reich, S.3
-
10
-
-
4043081955
-
Conservation properties of smoothed particle hydrodynamics applied to the shallow-water equations
-
J. Frank and S. Reich, Conservation properties of smoothed particle hydrodynamics applied to the shallow-water equations, BIT, 43 (2003), pp. 40-54.
-
(2003)
BIT
, vol.43
, pp. 40-54
-
-
Frank, J.1
Reich, S.2
-
11
-
-
0024875295
-
Smoothed-particle hydrodynamics as applied to 2D plume convection
-
A. M. Gadian, J. Dormand, and J. S. A. Green, Smoothed-particle hydrodynamics as applied to 2D plume convection, Atmospheric Research, 24 (1989), 289-304.
-
(1989)
Atmospheric Research
, vol.24
, pp. 289-304
-
-
Gadian, A.M.1
Dormand, J.2
Green, J.S.A.3
-
12
-
-
0032226405
-
The mollified impulse method for oscillatory differential equations
-
B. García-Archilla, J. M. Sanz-Serna, and R. D. Skeel, The mollified impulse method for oscillatory differential equations, SIAM J. Sci. Comput., 20 (1998), pp. 930-963.
-
(1998)
SIAM J. Sci. Comput.
, vol.20
, pp. 930-963
-
-
García-Archilla, B.1
Sanz-Serna, J.M.2
Skeel, R.D.3
-
13
-
-
85183430449
-
Smoothed particle hydrodynamics: Theory and application to non-spherical stars
-
R. A. Gingold and J. J. Monaghan, Smoothed particle hydrodynamics: theory and application to non-spherical stars, Mon. Not. R. Astr. Soc., 181 (1977), pp. 375-389.
-
(1977)
Mon. Not. R. Astr. Soc.
, vol.181
, pp. 375-389
-
-
Gingold, R.A.1
Monaghan, J.J.2
-
14
-
-
0031505057
-
The life-span of backward error analysis for numerical integrators
-
E. Hairer and Ch. Lubich, The life-span of backward error analysis for numerical integrators, Numer. Math., 76 (1997), pp. 441-462.
-
(1997)
Numer. Math.
, vol.76
, pp. 441-462
-
-
Hairer, E.1
Lubich, Ch.2
-
15
-
-
0003835647
-
-
Springer-Verlag, Berlin
-
E. Hairer, Ch. Lubich, and G. Wanner, Geometric Numerical Integration, Springer-Verlag, Berlin, 2002.
-
(2002)
Geometric Numerical Integration
-
-
Hairer, E.1
Lubich, Ch.2
Wanner, G.3
-
16
-
-
0037042624
-
Flexible constraints: An adiabatic treatment of quantum degrees of freedom, with application to the flexible and polarizable mobile charge densities in harmonic oscillators model for water
-
B. Hess, H. Saint-Martin, and H. J. C. Berendsen, Flexible constraints: An adiabatic treatment of quantum degrees of freedom, with application to the flexible and polarizable mobile charge densities in harmonic oscillators model for water, J. Chem. Phys., 116 (2002), pp. 9602-9610.
-
(2002)
J. Chem. Phys.
, vol.116
, pp. 9602-9610
-
-
Hess, B.1
Saint-Martin, H.2
Berendsen, H.J.C.3
-
17
-
-
0000921742
-
Longer time steps for molecular dynamics
-
J. A. Izaguirre, S. Reich, and R. D. Skeel, Longer time steps for molecular dynamics, J. Chem. Phys., 110 (1999), pp. 9853-9864.
-
(1999)
J. Chem. Phys.
, vol.110
, pp. 9853-9864
-
-
Izaguirre, J.A.1
Reich, S.2
Skeel, R.D.3
-
18
-
-
0002105056
-
A reversible averaging integrator for multiple time-scale dynamics
-
B. Leimkuhler and S. Reich, A reversible averaging integrator for multiple time-scale dynamics, J. Comput. Phys., 171 (2001), pp. 95-114.
-
(2001)
J. Comput. Phys.
, vol.171
, pp. 95-114
-
-
Leimkuhler, B.1
Reich, S.2
-
19
-
-
0000408065
-
Symplectic numerical integrators in constrained Hamiltonian systems
-
B. Leimkuhler and R. D. Skeel, Symplectic numerical integrators in constrained Hamiltonian systems, J. Comput. Phys., 112 (1994), pp. 117-125.
-
(1994)
J. Comput. Phys.
, vol.112
, pp. 117-125
-
-
Leimkuhler, B.1
Skeel, R.D.2
-
20
-
-
0001765873
-
A numerical approach to the testing of the fission hypothesis
-
L. B. Lucy, A numerical approach to the testing of the fission hypothesis, Astron. J., 82 (1977), pp. 1013-1024.
-
(1977)
Astron. J.
, vol.82
, pp. 1013-1024
-
-
Lucy, L.B.1
-
21
-
-
1942495036
-
-
Technical Report, University of Warwick, Coventry
-
R. S. MacKay, Lectures on slow manifolds, Technical Report, University of Warwick, Coventry, 2003.
-
(2003)
Lectures on Slow Manifolds
-
-
MacKay, R.S.1
-
22
-
-
0021660205
-
The separation of motions in systems with rapidly rotating phase
-
A. I. Neishtadt, The separation of motions in systems with rapidly rotating phase, J. Appl. Math. Mech., 48 (1984), pp. 133-139.
-
(1984)
J. Appl. Math. Mech.
, vol.48
, pp. 133-139
-
-
Neishtadt, A.I.1
-
23
-
-
0001787214
-
Smoothed dynamics of highly oscillatory Hamiltonian systems
-
S. Reich, Smoothed dynamics of highly oscillatory Hamiltonian systems, Physica D, 89 (1995), pp. 28-42.
-
(1995)
Physica D
, vol.89
, pp. 28-42
-
-
Reich, S.1
-
24
-
-
0030122430
-
Torsion dynamics of molecular systems
-
S. Reich, Torsion dynamics of molecular systems, Physical Review E, 53 (1996), pp. 4176-4181.
-
(1996)
Physical Review E
, vol.53
, pp. 4176-4181
-
-
Reich, S.1
-
25
-
-
0001444647
-
Backward error analysis for numerical integrators
-
S. Reich, Backward error analysis for numerical integrators, SIAM J. Numer. Anal., 36 (1999), pp. 475-491.
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, pp. 475-491
-
-
Reich, S.1
-
26
-
-
0032755864
-
Conservation of adiabatic invariants under symplectic discretization
-
S. Reich, Conservation of adiabatic invariants under symplectic discretization, Appl. Numer. Math., 29 (1999), pp. 45-55.
-
(1999)
Appl. Numer. Math.
, vol.29
, pp. 45-55
-
-
Reich, S.1
-
27
-
-
0007026709
-
Multiple times-scales in classical and quantum-classical molecular dynamics
-
S. Reich, Multiple times-scales in classical and quantum-classical molecular dynamics, J. Comput. Phys., 151 (1999), pp. 49-73.
-
(1999)
J. Comput. Phys.
, vol.151
, pp. 49-73
-
-
Reich, S.1
-
28
-
-
0346057215
-
Smoothed Langevin dynamics of highly oscillatory systems
-
S. Reich, Smoothed Langevin dynamics of highly oscillatory systems, Physica D, 138 (2000), pp. 210-224.
-
(2000)
Physica D
, vol.138
, pp. 210-224
-
-
Reich, S.1
-
29
-
-
0002339446
-
Motion under a strong constraining force
-
H. Rubin and P. Ungar, Motion under a strong constraining force, Comm. Pure Appl. Math., 10 (1957), pp. 65-87.
-
(1957)
Comm. Pure Appl. Math.
, vol.10
, pp. 65-87
-
-
Rubin, H.1
Ungar, P.2
-
30
-
-
0020515138
-
Practical use of Hamilton's principle
-
R. Salmon, Practical use of Hamilton's principle, J. Fluid Mech., 132 (1983) pp. 431-444.
-
(1983)
J. Fluid Mech.
, vol.132
, pp. 431-444
-
-
Salmon, R.1
-
31
-
-
0030304382
-
Long-term conservation of adiabatic invariants by using symplectic integrators
-
M. Shimada and H. Yoshida, Long-term conservation of adiabatic invariants by using symplectic integrators, Publ. Astron. Soc. Japan, 48 (1996), pp. 147-155.
-
(1996)
Publ. Astron. Soc. Japan
, vol.48
, pp. 147-155
-
-
Shimada, M.1
Yoshida, H.2
-
32
-
-
0012529377
-
Integration schemes for molecular dynamics and related applications
-
M. Ainsworth, J. Levesley, and M. Marletta, (eds), Springer-Verlag, Berlin
-
R. D. Skeel, Integration schemes for molecular dynamics and related applications, in M. Ainsworth, J. Levesley, and M. Marletta, (eds), The Graduate Student's Guide to Numerical Analysis, Springer-Verlag, Berlin, 1999, pp. 119-176.
-
(1999)
The Graduate Student's Guide to Numerical Analysis
, pp. 119-176
-
-
Skeel, R.D.1
-
33
-
-
0007015972
-
Motion under the influence of a strong constraining force
-
Z. Nitecki and C. Robinson (eds), Springer, Berlin
-
F. Takens, Motion under the influence of a strong constraining force, in Z. Nitecki and C. Robinson (eds), Lecture Notes in Math. 819, Springer, Berlin, 1980, pp. 425-445.
-
(1980)
Lecture Notes in Math. 819
, pp. 425-445
-
-
Takens, F.1
-
34
-
-
0009549561
-
Elastic molecular dynamics with flexible constraints
-
J. Zhou, S. Reich, and B. R. Brooks, Elastic molecular dynamics with flexible constraints, J. Chem. Phys., 112 (2000), pp. 7919-7929.
-
(2000)
J. Chem. Phys.
, vol.112
, pp. 7919-7929
-
-
Zhou, J.1
Reich, S.2
Brooks, B.R.3
|