Christof Sparber
TitleCited byYear
Mathematical and computational methods for semiclassical Schrödinger equations
S Jin, P Markowich, C Sparber
Acta Numerica 20, 121-209, 2011
1282011
Wigner functions versus WKB‐methods in multivalued geometrical optics
C Sparber, PA Markowich, NJ Mauser
Asymptotic Analysis 33 (2), 153-187, 2003
93*2003
A time-splitting spectral scheme for the Maxwell–Dirac system
Z Huang, S Jin, PA Markowich, C Sparber, C Zheng
Journal of Computational Physics 208 (2), 761-789, 2005
642005
Numerical study of fractional nonlinear Schrödinger equations
C Klein, C Sparber, P Markowich
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2014
552014
Numerical study of oscillatory regimes in the Kadomtsev–Petviashvili equation
C Klein, C Sparber, P Markowich
Journal of Nonlinear Science 17 (5), 429-470, 2007
552007
On the Gross–Pitaevskii equation for trapped dipolar quantum gases
R Carles, PA Markowich, C Sparber
Nonlinearity 21 (11), 2569, 2008
512008
On the long-time behavior of the quantum Fokker-Planck equation
C Sparber, JA Carrillo, J Dolbeault, PA Markowich
Monatshefte für Mathematik 141 (3), 237-257, 2004
462004
Semiclassical asymptotics for weakly nonlinear Bloch waves
R Carles, PA Markowich, C Sparber
Journal of statistical physics 117 (1-2), 343-375, 2004
422004
Quantum dynamical semigroups for diffusion models with Hartree interaction
A Arnold, C Sparber
Communications in mathematical physics 251 (1), 179-207, 2004
39*2004
Multiphase weakly nonlinear geometric optics for Schrödinger equations
R Carles, E Dumas, C Sparber
SIAM Journal on Mathematical Analysis 42 (1), 489-518, 2010
292010
Global well-posedness for cubic NLS with nonlinear damping
P Antonelli, C Sparber
Communications in Partial Differential Equations 35 (12), 2310-2328, 2010
282010
On the Cauchy Problem for nonlinear Schr\" odinger equations with rotation
P Antonelli, D Marahrens, C Sparber
arXiv preprint arXiv:1009.4160, 2010
282010
Optimal bilinear control of Gross--Pitaevskii equations
M Hintermuller, D Marahrens, PA Markowich, C Sparber
SIAM Journal on Control and Optimization 51 (3), 2509-2543, 2013
272013
Dispersive blow-up for nonlinear Schrödinger equations revisited
JL Bona, G Ponce, JC Saut, C Sparber
Journal de Mathématiques Pures et Appliquées 102 (4), 782-811, 2014
262014
A Bloch Decomposition–Based Split-Step Pseudospectral Method for Quantum Dynamics with Periodic Potentials
Z Huang, S Jin, PA Markowich, C Sparber
SIAM Journal on Scientific Computing 29 (2), 515-538, 2007
262007
Effective mass theorems for nonlinear Schrödinger equations
C Sparber
SIAM Journal on Applied Mathematics 66 (3), 820-842, 2006
262006
Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential
J Giannoulis, A Mielke, C Sparber
Journal of Differential Equations 245 (4), 939-963, 2008
252008
Semiclassical asymptotics for the Maxwell–Dirac system
C Sparber, P Markowich
Journal of Mathematical Physics 44 (10), 4555-4572, 2003
252003
The Wigner–Fokker–Planck equation: stationary states and large time behavior
A Arnold, IM Gamba, MP Gualdani, S Mischler, C Mouhot, C Sparber
Mathematical Models and Methods in Applied Sciences 22 (11), 1250034, 2012
232012
Geometric currents in piezoelectricity
G Panati, C Sparber, S Teufel
Archive for rational mechanics and analysis 191 (3), 387-422, 2009
212009
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Articles 1–20