Christian Klein
Christian Klein
Professor für Mathematik
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Cited by
Cited by
On multi-rogue wave solutions of the NLS equation and positon solutions of the KdV equation
P Dubard, P Gaillard, C Klein, VB Matveev
The European Physical Journal Special Topics 185 (1), 247-258, 2010
On universality of critical behavior in the focusing nonlinear Schrödinger equation, elliptic umbilic catastrophe and the tritronquée solution to the Painlevé-I equation
B Dubrovin, T Grava, C Klein
Journal of nonlinear science 19 (1), 57-94, 2009
Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equation
C Klein
Electron. Trans. Numer. Anal 29 (116-135), 37, 2008
Numerical solution of the small dispersion limit of Korteweg—de Vries and Whitham equations
T Grava, C Klein
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2007
Numerical study of fractional nonlinear Schrödinger equations
C Klein, C Sparber, P Markowich
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2014
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
Numerical study of blow up and stability of solutions of generalized Kadomtsev–Petviashvili equations
C Klein, JC Saut
Journal of nonlinear science 22 (5), 763-811, 2012
Computational approach to Riemann surfaces
AI Bobenko
Springer Science & Business Media, 2011
Fourth order time-stepping for Kadomtsev–Petviashvili and Davey–Stewartson equations
C Klein, K Roidot
SIAM Journal on Scientific Computing 33 (6), 3333-3356, 2011
A numerical approach to blow-up issues for dispersive perturbations of Burgers’ equation
C Klein, JC Saut
Physica D: Nonlinear Phenomena 295, 46-65, 2015
On Whitham and related equations
C Klein, F Linares, D Pilod, JC Saut
Studies in Applied Mathematics 140 (2), 133-177, 2018
Ernst equation and Riemann surfaces: analytical and numerical methods
C Klein, O Richter
Springer Science & Business Media, 2005
Exact relativistic treatment of stationary counterrotating dust disks: Physical properties
J Frauendiener, C Klein
Physical Review D 63 (8), 084025, 2001
Exact relativistic gravitational field of a stationary counterrotating dust disk
C Klein, O Richter
Physical review letters 83 (15), 2884, 1999
Hyperelliptic theta-functions and spectral methods: KdV and KP solutions
J Frauendiener, C Klein
Letters in Mathematical Physics 76 (2), 249-267, 2006
Counter-rotating dust rings around a static black hole
C Klein
Classical and Quantum Gravity 14 (8), 2267, 1997
Numerical study of blow-up and dispersive shocks in solutions to generalized Korteweg–de Vries equations
C Klein, R Peter
Physica D: Nonlinear Phenomena 304, 52-78, 2015
Numerical study of shock formation in the dispersionless Kadomtsev–Petviashvili equation and dispersive regularizations
C Klein, K Roidot
Physica D: Nonlinear Phenomena 265, 1-25, 2013
A numerical study of the small dispersion limit of the Korteweg–de Vries equation and asymptotic solutions
T Grava, C Klein
Physica D: Nonlinear Phenomena 241 (23-24), 2246-2264, 2012
Numerical Study of breakup in generalized Korteweg–de Vries and Kawahara equations
B Dubrovin, T Grava, C Klein
SIAM Journal on Applied Mathematics 71 (4), 983-1008, 2011
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