European Math. Soc. 2012
| Geometric
numerical
integration
and
Schrödinger
equations.
European Math. Soc. 2012 |
| 44. | Existence
and
stability
of
ground states
for fully discrete approximations of the
nonlinear Schrödinger equation pdf with Dario Bambusi and Benoît Grébert |
| 43. |
High
order
Runge-Kutta-Nyström
splitting
methods
for
the
Vlasov-Poisson
equation pdf with Nicolas Crouseilles and Michel Mehrenberger |
| 42. |
Sobolev
stability
of
plane
wave
solutions
to
the
cubic
nonlinear
Schrödinger
equation
on
a
torus pdf with Ludwig Gauckler and Christian Lubich |
| 41. |
A
Nekhoroshev
type
theorem
for
the
nonlinear
Schrödinger
equation
on
the
torus pdf with Benoît Grébert |
| 40. |
Quasi-periodic
solutions
of
the
2D
Euler
equation
pdf with Nicolas Crouseilles To appear in Asympt. Anal. |
| 39. |
Weak
backward
error
analysis
for
SDEs pdf with Arnaud Debussche To appear in SIAM J. Numer. Anal. |
| 38. |
Energy
cascades
for
NLS
on
the
torus pdf with Rémi Carles Discrete Contin. Dyn. Syst. 32 (2012) 2063-2077 |
| 37. |
On
the
influence
of
the
geometry
on
skin
effect
in
electromagnetism pdf
with Gabriel Caloz, Monique Dauge and Victor Péron Comput. Methods Appl. Mech. Engrg. 200 (2011) 1053-1068 |
| 36. |
Hamiltonian interpolation
of
splitting approximations for nonlinear PDEs pdf with Benoît Grébert Found. Comput. Math. 11 (2011) 381-415 |
| 35. |
Reconciling
alternate
methods
for
the
determination
of
charge
distributions:
A
probabilistic
approach
to
high-dimensional least-squares approximations pdf with Nicolas Champagnat and Christophe Chipot J. Math. Chem. 49 (2011) 296 |
| 34. |
Comportement asymptotique
à haute conductivité de l'épaisseur de peau en
électromagnétisme
pdf with Monique Dauge and Victor Péron C. R. Acad. Sci. Paris, Sér. I. 348 (2010) 385-390. |
| 33. |
Quasi invariant modified
Sobolev norms for semi linear reversible PDEs pdf with Benoît Grébert Nonlinearity 23 (2010) 429-443 |
| 32. |
A Regular Fast Multipole
Method
for geometric numerical integration of Hamiltonian systems pdf with Philippe Chartier and Eric Darrigrand BIT 50 (2010) 23-40 |
| 31. |
Birkhoff normal form for
splitting methods applied to semi linear Hamiltonian PDEs. Part I: Finite dimensional
discretization pdf with Benoît Grébert and Eric Paturel Numer. Math. 114 (2010) 429-458 |
| 30. |
Birkhoff normal form for
splitting methods applied to semi linear Hamiltonian PDEs. Part II:
Abstract splitting pdf with Benoît Grébert and Eric Paturel Numer. Math. 114 (2010) 459-490 |
| 29. |
Koiter Estimate
Revisited pdf with Monique Dauge Math. Models Methods Appl. Sci. (M3AS) 20 No 1 (2010) 1-42 |
| 28. |
Modified energy for
split-step
methods applied to the linear Schrödinger equation pdf with Arnaud Debussche SIAM J. Numer. Anal. 47 (2009) 3705-3719 |
| 27. |
Conservative stochastic
differential equations: Mathematical and numerical analysis pdf with Tony Lelièvre Math. Comp. 78 (2009) 2047-2074 |
| 26. |
An averaging technique for
highly-oscillatory Hamiltonian problems pdf with François Castella and Philippe Chartier SIAM J. Numer. Anal. 47 No 4 (2009) 2808-2837 |
| 25. |
Computing semi-classical
quantum dynamics with Hagedorn wavepackets pdf with Vasile Gradinaru and Christian Lubich SIAM J. Sci. Comp. 31 No 4 (2009) 3027-3041 |
| 24. |
Analysis of splitting
methods
for
reaction-diffusion problems using stochastic calculus pdf Math. Comp. 78 (2009) 1467-1483. |
| 23. |
Gauss-Hermite wavepacket
dynamics: convergence of the spectral and pseudo-spectral
approximation pdf with Vasile Gradinaru IMA J. Numer. Anal. 29 (2009) 1023-1045. |
| 22. |
A simple proof of the
existence
of adiabatic invariants for perturbed reversible problems pdf with Philippe Chartier J. Phys. A: Math. Theor. 41 No 47 (2008) 475204 |
| 21. |
Geometric integrators for
piecewise smooth Hamiltonian systems pdf with Philippe Chartier Math. Model. Numer. Anal. (M2AN) 42 No 2 (2008) 223-241 |
| 20. |
Normal
form
and
long
time
analysis
of
splitting
schemes
for
the
linear
Schrödinger
equation
with
small
potential pdf with Guillaume Dujardin Numer. Math. 106 No 2 (2007) 223-262 |
| 19. |
Long
time
behavior
of
splitting
methods
applied
to
the
linear
Schrödinger
equation with Guillaume Dujardin C. R. Acad. Sci. Paris, Sér. I. 344 (2007) 89-92 |
| 18. |
Nosé-Hoover
dynamics
in
a
shaker
ps, pdf J. Chem. Phys. 124 184104 (2006) |
| 17. |
An algebraic approach to
invariant
preserving integrators: The case of quadratic and Hamiltonian invariants
pdf with Philippe Chartier and Ander Murua Numer. Math. 103 No 4 (2006) 575-590 |
| 16. |
A
Poisson
integrator
for
Gaussian
wavepacket
dynamics
ps
with Christian Lubich Comput. Vis. Sci. 9 No 2 (2006) 45-55 |
| 15. |
Long-time averaging for
integrable Hamiltonian
dynamics ps, pdf with Eric Cancès, François Castella, Philippe Chartier, Claude Le Bris, Frédéric Legoll and Gabriel Turinici Numer. Math. 100 No 2 (2005) 211-232 |
| 14. |
Energy conservation with
non-symplectic methods: Examples and
counter-examples ps with Ernst Hairer and Truong-Linh Pham BIT 44 No 4 (2004) 699-709 |
| 13. |
Modeling
of
multi-wavelength
Raman
fiber
lasers
using
a
new
and
fast
algorithm
pdf with F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, T. Lopez, D. Bayart, F. Castella and P. Chartier IEEE Photonics Technology Letters 16 No 12 (2004) 2601-2603 |
| 12. |
Multiscale
Expansions
for
Linear
Clamped
Elliptic
Shells
ps,
pdf
Comm. P.D.E. 29 Vol 11 & 12 (2004) 1799-1845 |
| 11. |
High-order averaging schemes
with error bounds
for
thermodynamical properties
calculations by molecular dynamics simulations INRIA Research Report with Eric Cancès, François Castella, Philippe Chartier, Claude Le Bris, Frédéric Legoll and Gabriel Turinici J. Chem. Phys. 121 No 21 (2004) 10346-10355 |
| 10. |
Raman
Laser
Modeling:
Mathematical
and
Numerical
Analysis
of
a
model
ps, pdf with François Castella, Philippe Chartier, Dominique Bayart, Florence Leplingard and Catherine Martinelli Math. Model. Numer. Anal. (M2AN) 38 No 3 (2004) 457-475 |
| 9. |
Plates
and
shells:
Asymptotic
expansions
and
hierarchical
models abstract,
pdf
with Monique Dauge and Zohar Yosibash Chapter 8, Vol I of the Encyclopedia for Computational Mechanics. Edited by Erwin Stein, René de Borst, Thomas J.R. Hughes (2004). |
| 8. |
Analysis
of
a
Poisson
system
with
boundary
conditions
ps with François Castella and Philippe Chartier C. R. Acad. Sci. Paris, Sér. I. 336 (2003) 703-708 |
| 7. |
Elasticity
on
a
thin
shell:
Formal
series
solution
ps, pdf Asympt. Anal. 31 (2002) 317-361 |
| 6. |
Développements
asymptotiques
dans
les
coques
elliptiques:
Equations
tridimensionnelles
linéarisés ps,
pdf C. R. Acad. Sci. Paris, Sér. I. 333 (2001) 389-394 |
| 5. |
Développements
asymptotiques
dans
les
coques
elliptiques:
Modèle
de
Koiter ps,
pdf C. R. Acad. Sci. Paris, Sér. I. 333 (2001) 139-143 |
| 4. |
Complete
asymptotics
for
shallow
shells
ps,
pdf
with Georgiana Andreoiu Asympt. Anal. 25 (2001) 239-270 |
| 3. |
Développements
asymptotiques
complets
pour
des
coques
faiblement
courbées
encastrées
ou
libres
ps, ps.gz with Georgiana Andreoiu and Monique Dauge C. R. Acad. Sci. Paris, Sér. I. 330 (2000) 523-528 |
| 2. |
Elasticité
linéarisée
tridimensionnelle
pour
une
coque
mince:
Résolution
en
série
formelle
en
puissances
de
l'épaisseur
ps, ps.gz C. R. Acad. Sci. Paris, Sér. I. 330 (2000) 415-420 |
| 1. |
Eigenmode
Asymptotics
in
Thin
Elastic
Plates
ps,
ps.gz with Monique Dauge, Ivica Djurdjevic and Andreas Rössle J. Math. Pures Appl. 78 No 9 (1999) 925-964 |
| Resonances
in
long
time
integration
of
semi
linear
Hamiltonian
PDEs pdf with Benoît Grébert |
| Approximate
travelling
wave
solutions
to
the
2D
Euler
equation
on
the
torus
pdf with Nicolas Crouseilles |
Teaching
notes