Christian Klein

According to our database, Christian Klein authored at least 23 papers between 2007 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2024

Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime.

Anton Arnold, Christian Klein, Jannis Körner, Jens Markus Melenk

CoRR, 2024

2023

Large |k| Behavior for the Reflection Coefficient for Davey-Stewartson II Equations.

Christian Klein, Johannes Sjöstrand, Nikola M. Stoilov

SIAM J. Math. Anal., October, 2023

Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation.

Jannis Körner, Anton Arnold, Christian Klein, Jens Markus Melenk

CoRR, 2023

Numerical study of the Serre-Green-Naghdi equations in 2D.

Sergey L. Gavrilyuk, Christian Klein

CoRR, 2023

2021

Numerical Study of Zakharov-Kuznetsov Equations in Two Dimensions.

Christian Klein, Svetlana Roudenko, Nikola M. Stoilov

J. Nonlinear Sci., 2021

Multi-domain spectral approach with Sommerfeld condition for the Maxwell equations.

Christian Klein, Nikola M. Stoilov

J. Comput. Phys., 2021

Multi-domain spectral approach for the Hilbert transform on the real line.

Christian Klein, J. Riton, Nikola M. Stoilov

CoRR, 2021

2020

Multidomain spectral method for the Gauss hypergeometric function.

Siegfried Crespo, Marco Fasondini, Christian Klein, Nikola M. Stoilov, Corentin Vallée

Numer. Algorithms, 2020

Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation.

Christian Klein, Svetlana Roudenko, Nikola M. Stoilov

CoRR, 2020

Multidomain spectral approach with Sommerfeld condition for the Maxwell equations.

Christian Klein, Nikola M. Stoilov

CoRR, 2020

On a nonlinear Schr{ö}dinger equation for nucleons in one space dimension.

Christian Klein, Simona Nodari

CoRR, 2020

2019

High precision numerical approach for the Davey-Stewartson II equation for Schwartz class initial data.

Christian Klein, Ken McLaughlin, Nikola M. Stoilov

CoRR, 2019

Numerical study of the transverse stability of the Peregrine solution.

Christian Klein, Nikola M. Stoilov

CoRR, 2019

2016

Multidomain spectral method for Schrödinger equations.

Mira Birem, Christian Klein

Adv. Comput. Math., 2016

2015

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations.

Boris Dubrovin, Tamara Grava, Christian Klein, Antonio Moro

J. Nonlinear Sci., 2015

2014

Computation of the topological type of a real Riemann surface.

Caroline Kalla, Christian Klein

Math. Comput., 2014

2012

Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev-Petviashvili Equations.

Christian Klein, Jean-Claude Saut

J. Nonlinear Sci., 2012

2011

Fourth Order Time-Stepping for Kadomtsev-Petviashvili and Davey-Stewartson Equations.

Christian Klein, K. Roidot

SIAM J. Sci. Comput., 2011

Numerical Study of Breakup in Generalized Korteweg-de Vries and Kawahara Equations.

Boris Dubrovin, Tamara Grava, Christian Klein

SIAM J. Appl. Math., 2011

Efficient computation of the branching structure of an algebraic curve

Jörg Frauendiener, Christian Klein, Vasilisa Shramchenko

CoRR, 2011

2010

Numerical Solution of the Small Dispersion Limit of the Camassa--Holm and Whitham Equations and Multiscale Expansions.

S. Abenda, Tamara Grava, Christian Klein

SIAM J. Appl. Math., 2010

2009

On Universality of Critical Behavior in the Focusing Nonlinear Schrödinger Equation, Elliptic Umbilic Catastrophe and the <i>Tritronquée</i> Solution to the Painlevé-I Equation.

Boris Dubrovin, Tamara Grava, Christian Klein

J. Nonlinear Sci., 2009

2007

Numerical Study of Oscillatory Regimes in the Kadomtsev-Petviashvili Equation.

Christian Klein, Christof Sparber, Peter A. Markowich

J. Nonlinear Sci., 2007