Numerical Study of Oscillatory Regimes in the Kadomtsev-Petviashvili Equation. - Christian Klein 002; Christof Sparber; Peter A. Markowich (J. Nonlinear Sci., 2007)

On Universality of Critical Behavior in the Focusing Nonlinear Schrödinger Equation, Elliptic Umbilic Catastrophe and the Tritronquée Solution to the Painlevé-I Equation. - Boris Dubrovin; Tamara Grava; Christian Klein 002 (J. Nonlinear Sci., 2009)

Numerical Solution of the Small Dispersion Limit of the Camassa–Holm and Whitham Equations and Multiscale Expansions. - S. Abenda; Tamara Grava; Christian Klein 002 (SIAM J. Appl. Math., 2010)

Efficient computation of the branching structure of an algebraic curve - Jörg Frauendiener; Christian Klein 002; Vasilisa Shramchenko (CoRR, 2011)

Numerical Study of Breakup in Generalized Korteweg-de Vries and Kawahara Equations. - Boris Dubrovin; Tamara Grava; Christian Klein 002 (SIAM J. Appl. Math., 2011)

Fourth Order Time-Stepping for Kadomtsev-Petviashvili and Davey-Stewartson Equations. - Christian Klein 002; K. Roidot (SIAM J. Sci. Comput., 2011)

Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev-Petviashvili Equations. - Christian Klein 002; Jean-Claude Saut (J. Nonlinear Sci., 2012)

Computation of the topological type of a real Riemann surface. - Caroline Kalla; Christian Klein 002 (Math. Comput., 2014)

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations. - Boris Dubrovin; Tamara Grava; Christian Klein 002; Antonio Moro (J. Nonlinear Sci., 2015)

Multidomain spectral method for Schrödinger equations. - Mira Birem; Christian Klein 002 (Adv. Comput. Math., 2016)

Numerical study of the transverse stability of the Peregrine solution. - Christian Klein 002; Nikola M. Stoilov (CoRR, 2019)

High precision numerical approach for the Davey-Stewartson II equation for Schwartz class initial data. - Christian Klein 002; Ken McLaughlin; Nikola M. Stoilov (CoRR, 2019)

On a nonlinear Schr{ö}dinger equation for nucleons in one space dimension. - Christian Klein 002; Simona Nodari (CoRR, 2020)

Multidomain spectral approach with Sommerfeld condition for the Maxwell equations. - Christian Klein 002; Nikola M. Stoilov (CoRR, 2020)

Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation. - Christian Klein 002; Svetlana Roudenko; Nikola M. Stoilov (CoRR, 2020)

Multidomain spectral method for the Gauss hypergeometric function. - Siegfried Crespo; Marco Fasondini; Christian Klein 002; Nikola M. Stoilov; Corentin Vallée (Numer. Algorithms, 2020)

Multi-domain spectral approach for the Hilbert transform on the real line. - Christian Klein 002; J. Riton; Nikola M. Stoilov (CoRR, 2021)

Spectral approach to Korteweg-de Vries equations on the compactified real line. - Christian Klein 002; Nikola M. Stoilov (CoRR, 2021)

Multi-domain spectral approach with Sommerfeld condition for the Maxwell equations. - Christian Klein 002; Nikola M. Stoilov (J. Comput. Phys., 2021)

Numerical Study of Zakharov-Kuznetsov Equations in Two Dimensions. - Christian Klein 002; Svetlana Roudenko; Nikola M. Stoilov (J. Nonlinear Sci., 2021)

Numerical study of the Serre-Green-Naghdi equations in 2D. - Sergey L. Gavrilyuk; Christian Klein 002 (CoRR, 2023)

Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation. - Jannis Körner; Anton Arnold; Christian Klein 002; Jens Markus Melenk (CoRR, 2023)

Large |k| Behavior for the Reflection Coefficient for Davey-Stewartson II Equations. - Christian Klein 002; Johannes Sjöstrand; Nikola M. Stoilov (SIAM J. Math. Anal., 2023)

Multi-domain spectral approach to rational-order fractional derivatives. - Christian Klein 002; Nikola M. Stoilov (CoRR, 2024)

Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime. - Anton Arnold; Christian Klein 002; Jannis Körner; Jens Markus Melenk (J. Comput. Appl. Math., 2025)

Numerical Evidence for Singularity Formation in Defocusing Fractional NLS in One Space Dimension. - Christian Klein 002; Christof Sparber (J. Nonlinear Sci., 2025)