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ORCIDChristian Klein 0002
Person information
- affiliation: Institut de Mathémathiques de Bourgogne, Université de Bourgogne, Dijon, France
- affiliation: Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
Other persons with the same name
- Christian Klein 0001 — Max Planck Institut Informatik, Saarbrücken, Germany
- Christian Klein 0003 — University of Hohenheim, Germany
- Christian Klein 0004 — German Research Center for Environmental Health
- Christian Klein 0005 — University of Maryland, College Park, MD, USA
- Christian Klein 0006 — Universität Regensburg
- Christian Klein 0007 — University of Koblenz-Landau, Germany
- Christian Klein 0008
![[0000-0001-7592-6922]](https://dblp.uni-trier.de./img/orcid-mark.12x12.png "0000-0001-7592-6922")
— DLR, German Aerospace Center in the Helmholtz-Association, Göttingen, Germany
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2020 – today
- 2025
[j14]Anton Arnold, Christian Klein, Jannis Körner, Jens Markus Melenk:
Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime. J. Comput. Appl. Math. 457: 116240 (2025)- 2024
- [i14]Christian Klein, Nikola M. Stoilov:
Multi-domain spectral approach to rational-order fractional derivatives. CoRR abs/2401.04461 (2024) - [i13]Anton Arnold, Christian Klein, Jannis Körner, Jens Markus Melenk:
Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime. CoRR abs/2401.10141 (2024) - 2023
- [j13]Christian Klein, Johannes Sjöstrand, Nikola M. Stoilov:
Large |k| Behavior for the Reflection Coefficient for Davey-Stewartson II Equations. SIAM J. Math. Anal. 55(5): 4912-4937 (2023) - [i12]Sergey L. Gavrilyuk, Christian Klein:
Numerical study of the Serre-Green-Naghdi equations in 2D. CoRR abs/2306.09731 (2023) - [i11]Jannis Körner, Anton Arnold, Christian Klein, Jens Markus Melenk:
Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation. CoRR abs/2310.00955 (2023) - 2021
- [j12]Christian Klein, Nikola M. Stoilov:
Multi-domain spectral approach with Sommerfeld condition for the Maxwell equations. J. Comput. Phys. 434: 110149 (2021) - [j11]Christian Klein, Svetlana Roudenko, Nikola M. Stoilov:
Numerical Study of Zakharov-Kuznetsov Equations in Two Dimensions. J. Nonlinear Sci. 31(1): 26 (2021) - [i10]Christian Klein, J. Riton, Nikola M. Stoilov:
Multi-domain spectral approach for the Hilbert transform on the real line. CoRR abs/2101.02473 (2021) - [i9]Christian Klein, Nikola M. Stoilov:
Spectral approach to Korteweg-de Vries equations on the compactified real line. CoRR abs/2112.09952 (2021) - 2020
- [j10]Siegfried Crespo, Marco Fasondini, Christian Klein, Nikola M. Stoilov, Corentin Vallée:
Multidomain spectral method for the Gauss hypergeometric function. Numer. Algorithms 84(1): 1-35 (2020) - [i8]Christian Klein, Simona Nodari:
On a nonlinear Schr{ö}dinger equation for nucleons in one space dimension. CoRR abs/2002.03641 (2020) - [i7]Christian Klein, Svetlana Roudenko, Nikola M. Stoilov:
Numerical study of Zakharov-Kuznetsov equations in two dimensions. CoRR abs/2002.07886 (2020) - [i6]Christian Klein, Nikola M. Stoilov:
Multidomain spectral approach with Sommerfeld condition for the Maxwell equations. CoRR abs/2009.09865 (2020) - [i5]Christian Klein, Svetlana Roudenko, Nikola M. Stoilov:
Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation. CoRR abs/2012.15225 (2020)
2010 – 2019
- 2019
- [i4]Christian Klein, Nikola M. Stoilov:
Numerical study of the transverse stability of the Peregrine solution. CoRR abs/1911.00918 (2019) - [i3]Christian Klein, Ken McLaughlin, Nikola M. Stoilov:
High precision numerical approach for the Davey-Stewartson II equation for Schwartz class initial data. CoRR abs/1911.11721 (2019) - 2016
- [j9]Mira Birem, Christian Klein:
Multidomain spectral method for Schrödinger equations. Adv. Comput. Math. 42(2): 395-423 (2016) - 2015
- [j8]Boris Dubrovin, Tamara Grava, Christian Klein, Antonio Moro:
On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations. J. Nonlinear Sci. 25(3): 631-707 (2015) - 2014
- [j7]Caroline Kalla, Christian Klein:
Computation of the topological type of a real Riemann surface. Math. Comput. 83(288): 1823-1846 (2014) - 2012
- [j6]Christian Klein, Jean-Claude Saut:
Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev-Petviashvili Equations. J. Nonlinear Sci. 22(5): 763-811 (2012) - [i2]Caroline Kalla, Christian Klein:
Computation of the topological type of a real Riemann surface. CoRR abs/1204.4826 (2012) - 2011
- [j5]Boris Dubrovin, Tamara Grava, Christian Klein:
Numerical Study of Breakup in Generalized Korteweg-de Vries and Kawahara Equations. SIAM J. Appl. Math. 71(4): 983-1008 (2011) - [j4]Christian Klein, K. Roidot:
Fourth Order Time-Stepping for Kadomtsev-Petviashvili and Davey-Stewartson Equations. SIAM J. Sci. Comput. 33(6): 3333-3356 (2011) - [i1]Jörg Frauendiener, Christian Klein, Vasilisa Shramchenko:
Efficient computation of the branching structure of an algebraic curve. CoRR abs/1108.2038 (2011) - 2010
- [j3]S. Abenda, Tamara Grava, Christian Klein:
Numerical Solution of the Small Dispersion Limit of the Camassa--Holm and Whitham Equations and Multiscale Expansions. SIAM J. Appl. Math. 70(8): 2797-2821 (2010)
2000 – 2009
- 2009
- [j2]Boris Dubrovin, Tamara Grava, Christian Klein:
On Universality of Critical Behavior in the Focusing Nonlinear Schrödinger Equation, Elliptic Umbilic Catastrophe and the Tritronquée Solution to the Painlevé-I Equation. J. Nonlinear Sci. 19(1): 57-94 (2009) - 2007
- [j1]Christian Klein, Christof Sparber, Peter A. Markowich:
Numerical Study of Oscillatory Regimes in the Kadomtsev-Petviashvili Equation. J. Nonlinear Sci. 17(5): 429-470 (2007)
Coauthor Index
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