Christian Klein

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 14

Top Topics

Hamilton Jacobi

Partial Differential Equations

Top Venues

J. Nonlinear Sci.

J. Comput. Phys.

Numer. Algorithms

Publications

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 (2024)
Jannis Körner, Anton Arnold, Christian Klein, Jens Markus Melenk
Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation. CoRR (2023)
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) (2023)
Christian Klein, Nikola M. Stoilov
Multi-domain spectral approach with Sommerfeld condition for the Maxwell equations. J. Comput. Phys. 434 (2021)
Christian Klein, Svetlana Roudenko, Nikola M. Stoilov
Numerical Study of Zakharov-Kuznetsov Equations in Two Dimensions. J. Nonlinear Sci. 31 (1) (2021)
Christian Klein, J. Riton, Nikola M. Stoilov
Multi-domain spectral approach for the Hilbert transform on the real line. CoRR (2021)
Christian Klein, Svetlana Roudenko, Nikola M. Stoilov
Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation. CoRR (2020)
Siegfried Crespo, Marco Fasondini, Christian Klein, Nikola M. Stoilov, Corentin Vallée
Multidomain spectral method for the Gauss hypergeometric function. Numer. Algorithms 84 (1) (2020)
Christian Klein, Nikola M. Stoilov
Multidomain spectral approach with Sommerfeld condition for the Maxwell equations. CoRR (2020)
Christian Klein, Simona Nodari
On a nonlinear Schr{ö}dinger equation for nucleons in one space dimension. CoRR (2020)
Christian Klein, Svetlana Roudenko, Nikola M. Stoilov
Numerical study of Zakharov-Kuznetsov equations in two dimensions. CoRR (2020)
Christian Klein, Nikola M. Stoilov
Numerical study of the transverse stability of the Peregrine solution. CoRR (2019)
Christian Klein, K. McLaughlin, Nikola M. Stoilov
High precision numerical approach for the Davey-Stewartson II equation for Schwartz class initial data. CoRR (2019)
Mira Birem, Christian Klein
Multidomain spectral method for Schrödinger equations. Adv. Comput. Math. 42 (2) (2016)
Boris Dubrovin, Tamara Grava, Christian Klein, Antonio Moro
On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations. J. Nonlinear Sci. 25 (3) (2015)
Caroline Kalla, Christian Klein
Computation of the topological type of a real Riemann surface. Math. Comput. 83 (288) (2014)
Caroline Kalla, Christian Klein
Computation of the topological type of a real Riemann surface CoRR (2012)
Christian Klein, Jean-Claude Saut
Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev-Petviashvili Equations. J. Nonlinear Sci. 22 (5) (2012)
Christian Klein, K. Roidot
Fourth Order Time-Stepping for Kadomtsev-Petviashvili and Davey-Stewartson Equations. SIAM J. Sci. Comput. 33 (6) (2011)
Boris Dubrovin, Tamara Grava, Christian Klein
Numerical Study of Breakup in Generalized Korteweg-de Vries and Kawahara Equations. SIAM J. Appl. Math. 71 (4) (2011)
Jörg Frauendiener, Christian Klein, Vasilisa Shramchenko
Efficient computation of the branching structure of an algebraic curve CoRR (2011)
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) (2010)
Boris Dubrovin, Tamara Grava, Christian Klein
Solution to the Painlevé-I Equation. J. Nonlinear Sci. 19 (1) (2009)
Christian Klein, Christof Sparber, Peter A. Markowich
Numerical Study of Oscillatory Regimes in the Kadomtsev-Petviashvili Equation. J. Nonlinear Sci. 17 (5) (2007)