C. Klein

发表

Numerical study of the transverse stability of line solitons of the Zakharov-Kuznetsov equations

J. Saut, C. Klein, N. Stoilov, 2022, 2204.11646.

Numerical study of fractional nonlinear Schrödinger equations

P. Markowich, C. Klein, Christof Sparber, 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Efficient computation of multidimensional theta functions

C. Klein, C. Jaber, J. Frauendiener, 2017, Journal of Geometry and Physics.

On the Tritronquée Solutions of $$\hbox {P}_{\mathrm{I}}^2$$PI2

C. Klein, T. Grava, A. Kapaev, 2015 .

A numerical study of the small dispersion limit of the Korteweg–de Vries equation and asymptotic solutions

C. Klein, T. Grava, 2012, 1202.0962.

Numerical Study of Blowup in the Davey-Stewartson System

C. Klein, B. Muite, K. Roidot, 2011, 1112.4043.

N ov 2 01 9 WKB-METHOD FOR THE 1 D SCHRÖDINGER EQUATION IN THE SEMI-CLASSICAL LIMIT : ENHANCED PHASE TREATMENT

A. Arnold, C. Klein, B. Ujvari, 2019 .

IST Versus PDE: A Comparative Study

J. Saut, C. Klein, 2014, 1409.2020.

Numerical study of the long wavelength limit of the Toda lattice

C. Klein, K. Roidot, 2014, 1404.2593.

Computational approach to compact Riemann surfaces

C. Klein, J. Frauendiener, C. Klein, 2015, 1510.09063.

On the exact relativistic treatment of stationary counter-rotating dust disks IIIPhysical Properties

C. Klein, J. Frauendiener, 2001, gr-qc/0102096.

Hyperelliptic Theta-Functions and Spectral Methods: KdV and KP Solutions

C. Klein, J. Frauendiener, 2005, nlin/0512066.

On the numerical evaluation of algebro-geometric solutions to integrable equations

C. Klein, C. Kalla, 2011, 1107.2108.

Renormalized charged scalar current in the Reissner–Nordström–de Sitter spacetime

C. Klein, J. Zahn, 2021, Physical Review D.

On the tritronquée solutions of P$_I^2$

C. Klein, T. Grava, A. Kapaev, 2013, 1306.6161.

Numerical Approach to Painlevé Transcendents on Unbounded Domains

C. Klein, N. Stoilov, 2018, Symmetry, Integrability and Geometry: Methods and Applications.

Numerical study of the Kadomtsev–Petviashvili equation and dispersive shock waves

C. Klein, G. Pitton, T. Grava, 2017, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

On critical behaviour in generalized Kadomtsev-Petviashvili equations

B. Dubrovin, C. Klein, T. Grava, 2015, 1510.01580.

Construction of the Unruh state for a real scalar field on the Kerr - de Sitter spacetime

C. Klein, 2022, 2206.05073.

Numerical study of shock formation in the dispersionless Kadomtsev-Petviashvili equation and dispersive regularizations

C. Klein, K. Roidot, 2013, 1304.6513.

Exact Relativistic Treatment of Stationary Counter-Rotating Dust Disks: Axis, Disk, and Limiting Cases

C. Klein, 2001, gr-qc/0102079.

Riemann-Hilbert problems for the Ernst equation and fibre bundles

C. Klein, O. Richter, 1998, gr-qc/9811039.

Physically realistic solutions to the Ernst equation on hyperelliptic Riemann surfaces

C. Klein, O. Richter, 1998, gr-qc/9806051.

Minimal radiative neutrino masses

C. Klein, M. Lindner, Sebastian Ohmer, 2019, Journal of High Energy Physics.

Binary black hole spacetimes with a helical Killing vector

C. Klein, C. Klein, 2004, gr-qc/0410095.

Counter-rotating dust rings around a static black hole

C. Klein, 1997 .

Study on neutrino beam experiments with multi-layer matter profiles

C. Klein, 2016 .

On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions

C. Klein, Christof Sparber, J. Arbunich, 2018, ESAIM: Mathematical Modelling and Numerical Analysis.

On Whitham and Related Equations

J. Saut, F. Linares, C. Klein, 2017, 1706.08712.

Extremal properties of the determinant of the Laplacian in the Bergman metric on the moduli space of genus two Riemann surfaces

C. Klein, A. Kokotov, D. Korotkin, 2005, math/0511217.

Second-order effects of rotational perturbations of a Friedmann universe

C. Klein, 1994 .

Rotational perturbations and frame dragging in a Friedmann universe

C. Klein, 1993 .

On explicit solutions to the stationary axisymmetric Einstein‐Maxwell equations describing dust disks

C. Klein, 2003, gr-qc/0512134.

Exact relativistic treatment of stationary counterrotating dust disks: Boundary value problems and solutions

C. Klein, 2001, gr-qc/0102083.

Spectral Approach to D‐bar Problems

C. Klein, Kenneth T-R McLaughlin, 2015, 1508.02363.

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

C. Klein, K. Roidot, 2011, SIAM J. Sci. Comput..

Numerical study of the transverse stability of the Peregrine solution

C. Klein, N. Stoilov, 2019, Studies in Applied Mathematics.

Numerical scattering for the defocusing Davey–Stewartson II equation for initial data with compact support

C. Klein, N. Stoilov, 2018, Nonlinearity.

Multidomain spectral method for Schrödinger equations

C. Klein, Mira Birem, 2015, Advances in Computational Mathematics.

Computational Approach to Hyperelliptic Riemann Surfaces

C. Klein, J. Frauendiener, 2015, Letters in Mathematical Physics.

Transverse stability of periodic traveling waves in Kadomtsev-Petviashvili equations: A numerical study

C. Klein, Christof Sparber, 2011, 1108.3363.

Hyperelliptic Theta-Functions and Spectral Methods: KdV and KP Solutions

C. Klein, J. Frauendiener, 2005, nlin/0512066.

WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment

A. Arnold, C. Klein, B. Ujvari, 2021, BIT Numerical Mathematics.

Large $|k|$ behavior for the reflection coefficient for Davey-Stewartson II equations

C. Klein, N. Stoilov, J. Sjostrand, 2022, 2203.14650.

Large ∣k∣ Behavior of Complex Geometric Optics Solutions to d‐bar Problems

C. Klein, N. Stoilov, J. Sjostrand, 2020, Communications on Pure and Applied Mathematics.

Numerical study of the Serre-Green-Naghdi equations and a fully dispersive counterpart

V. Duchêne, C. Klein, 2020, Discrete & Continuous Dynamical Systems - B.

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

J. Saut, C. Klein, 2012, Journal of Nonlinear Science.

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

Boris Dubrovin, Tamara Grava, Christian Klein, 2010, SIAM J. Appl. Math..

On ground state (in-)stability in multi-dimensional cubic-quintic Schrodinger equations

C. Klein, R. Carles, Christof Sparber, 2022, ESAIM: Mathematical Modelling and Numerical Analysis.

On soliton (in-)stability in multi-dimensional cubic-quintic nonlinear Schr\"odinger equations

C. Klein, R. Carles, Christof Sparber, 2020, 2012.11637.

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

C. Klein, K. Roidot, C. Klein, 2011, SIAM Journal on Scientific Computing.

Numerical study of the transverse stability of line solitons of the Zakharov-Kuznetsov equations

J. Saut, C. Klein, N. Stoilov, 2022, Physica D: Nonlinear Phenomena.

Numerical study of Davey–Stewartson I systems

J. Frauendiener, C. Klein, N. Stoilov, 2021, Studies in Applied Mathematics.

Numerical study of break-up in solutions to the dispersionless Kadomtsev–Petviashvili equation

C. Klein, N. Stoilov, 2021, Letters in Mathematical Physics.

Numerical Study of Zakharov–Kuznetsov Equations in Two Dimensions pdf

S. Roudenko, N. Stoilov, C. Klein, 2020, Journal of Nonlinear Science.

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

C. Klein, N. Stoilov, S. Roudenko, 2020, ArXiv.

High precision numerical approach for Davey–Stewartson II type equations for Schwartz class initial data

C. Klein, N. Stoilov, K. Mclaughlin, 2020, Proceedings of the Royal Society A.

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

N. Stoilov, C. Klein, K. McLaughlin, 2019, ArXiv.

Spectral approach to the scattering map for the semi-classical defocusing Davey–Stewartson II equation

C. Klein, N. Stoilov, K. Mclaughlin, 2018, Physica D: Nonlinear Phenomena.

Numerical study of the Petviashvili equation and dispersive waves.

C. Klein, G. Pitton, T. Grava, 2018 .

Numerical Study of Blow‐Up Mechanisms for Davey–Stewartson II Systems

C. Klein, N. Stoilov, 2017, 1712.08814.

Numerical study of blow-up and stability of line solitons for the Novikov–Veselov equation

C. Klein, A. Kazeykina, 2016, 1607.01987.

Multidomain spectral method for Schrödinger equations

Christian Klein, Mira Birem, C. Klein, 2014, Adv. Comput. Math..

Numerical study of blow-up and dispersive shocks in solutions to generalized Korteweg–de Vries equations

C. Klein, R. Peter, 2015 .

Shock formation in the dispersionless Kadomtsev–Petviashvili equation

J. Eggers, C. Klein, T. Grava, 2015, 1505.06453.

A numerical approach to blow-up issues for dispersive perturbations of Burgers’ equation

C. Klein, J. Saut, C. Klein, 2014, 1401.1390.

A NUMERICAL APPROACH TO BLOW-UP ISSUES FOR DAVEY-STEWARTSON II SYSTEMS

J. Saut, C. Klein, 2015 .

A numerical approach to Blow-up issues for Davey-Stewartson II type systems

J. Saut, C. Klein, 2014, 1406.1146.

Numerical study of the semiclassical limit of the Davey–Stewartson II equations

C. Klein, K. Roidot, 2014, 1401.4745.

Numerical study of blow-up in solutions to generalized Kadomtsev-Petviashvili equations

C. Klein, R. Peter, 2013, 1310.5215.

Numerical study of blow-up in solutions to generalized Korteweg-de Vries equations

C. Klein, R. Peter, 2013, 1307.0603.

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

Jean-Claude Saut, Christian Klein, J. Saut, 2010, J. Nonlinear Sci..

Numerical Study of Oscillatory Regimes in the Kadomtsev–Petviashvili Equation

Christof Sparber, Peter A. Markowich, Christian Klein, 2006, J. Nonlinear Sci..

Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equation

Christian Klein, C. Klein, 2006 .

Mathematik in den Naturwissenschaften Leipzig Numerical solution of the small dispersion limit of Korteweg de Vries and Whitham equations

Tamara Grava, Christian Klein, C. Klein, 2005 .

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations

Antonio Moro, Boris Dubrovin, Tamara Grava, 2013, J. Nonlinear Sci..

On universality of critical behaviour in the focusing nonlinear Schr\"odinger equation, elliptic umbilic catastrophe and the {\it tritronqu\'ee} solution to the Painlev\'e-I equation

Boris Dubrovin, Tamara Grava, Christian Klein, 2007, 0704.0501.

Multidomain spectral method for the Gauss hypergeometric function

N. Stoilov, C. Klein, M. Fasondini, 2018, Numerical Algorithms.

Numerical study of a multiscale expansion of the Korteweg–de Vries equation and Painlevé-II equation

C. Klein, T. Grava, T Grava, 2007, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Preface | Physica D: Nonlinear Phenomena - Volume 241, Issues 23–24

C. Klein, T. Grava, G. Falqui, 2012 .

A Study of the Direct Spectral Transform for the Defocusing Davey‐Stewartson II Equation the Semiclassical Limit

P. Miller, C. Klein, K. Mclaughlin, 2017, Communications on Pure and Applied Mathematics.

3 1 D ec 2 01 0 NUMERICAL STUDY OF BREAKUP IN GENERALIZED

C. Klein, T. Grava, 2011 .

Numerical study of the stability of the Peregrine solution

M. Haragus, C. Klein, 2017 .

Numerical study of the stability of the Peregrine breather

M. Haragus, C. Klein, 2015, 1507.06766.

Algebraic Curves and Riemann Surfaces in Matlab

Christian Klein, Jörg Frauendiener, C. Klein, 2011 .

NUMERICAL SIMULATION OF GENERALIZED KP TYPE EQUATIONS WITH SMALL DISPERSION

Christof Sparber, Christian Klein, C. Klein, 2006 .

Computational Approach to Hyperelliptic Riemann Surfaces

C. Klein, J. Frauendiener, C. Klein, 2014, 1408.2201.

Computation of the topological type of a real Riemann surface pdf

Christian Klein, Caroline Kalla, C. Klein, 2012, Math. Comput..

On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation.

A. O. Smirnov, V. Matveev, K. Khusnutdinova, 2012, Chaos.

New construction of algebro-geometric solutions to the Camassa–Holm equation and their numerical evaluation

C. Klein, C. Kalla, 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Efficient Computation of the Branching Structure of an Algebraic Curve

Christian Klein, Jörg Frauendiener, Vasilisa Shramchenko, 2011, ArXiv.

Computational approach to Riemann surfaces

Alexander I. Bobenko, Christian Klein, A. Bobenko, 2011 .

Cylindrical Kadomtsev-Petviashvili equation: Old and new results

A. O. Smirnov, V. Matveev, C. Klein, 2007 .

Cylindrical KP revisited

V. Matveev, C. Klein, A. Smirnov, 2006 .

Hyperelliptic theta-functions and spectral methods

C. Klein, J. Frauendiener, C. Klein, 2004, nlin/0512065.

Exact Relativistic Gravitational Field of a Stationary Counterrotating Dust Disk

C. Klein, O. Richter, 1999, gr-qc/9908042.

WKB Analysis of Bohmian Dynamics

A. Figalli, P. Markowich, C. Klein, 2012, 1202.3134.

On crossing dust shells

C. Klein, J. Frauendiener, 1995 .

Construction of the Unruh State for a Real Scalar Field on the Kerr-de Sitter Spacetime

C. Klein, 2022, Annales Henri Poincaré.

WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment

A. Arnold, C. Klein. B. Ujvari, A. Arnold, 2018, BIT Numerical Mathematics.

Radiative neutrino masses and successful SU(5) unification

C. Klein, M. Lindner, S. Vogl, 2019, Physical Review D.

On a nonlinear Schrödinger equation for nucleons in one space dimension

C. Klein, S. Rota Nodari, 2021, ESAIM: Mathematical Modelling and Numerical Analysis.

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

C. Klein, S. Nodari, 2020, ArXiv.

Quantum stress tensor at the Cauchy horizon of the Reissner–Nordström–de Sitter spacetime

C. Klein, J. Zahn, S. Hollands, 2020, Physical Review D.

Ernst equation, Fay identities and variational formulas on hyperelliptic curves

C. Klein, D. Korotkin, V. Shramchenko, 2004 .

The Ernst equation and the Riemann-Hilbert problem on hyperelliptic Riemann surfaces

C. Klein, O. Richter, 1997 .

Exact relativistic treatment of stationary black hole disk systems

C. Klein, 2003 .

Harrison transformation of hyperelliptic solutions and charged dust disks

C. Klein, 2002, gr-qc/0512133.

On the exact relativistic treatment of stationary counter-rotating dust disks IIIPhysical Properties

C. Klein, J. Frauendiener, 2001, gr-qc/0102096.

ON A CLASS OF PHYSICALLY REALISTIC SOLUTIONS TO THE ERNST EQUATION

C. Klein, O. Richter, 1997 .

Explicit solution of Riemann-Hilbert problems for the Ernst equation

C. Klein, O. Richter, 1998 .

Higher-order degenerations of Fay’s identities and applications to integrable equations

C. Klein, Jordi Pillet, 2023, Proceedings of the Royal Society A.

Algebro-geometric approach to the Ernst equation I. Mathematical Preliminaries

C. Klein, O. Richter, 1997 .

Numerical study of the Kerr solution in rotating coordinates

S. Bai, C. Klein, G. Izquierdo, 2016, 1602.06400.

On the modified fractional Korteweg–de Vries and related equations

J. Saut, C. Klein, Yuexun Wang, 2020, Nonlinearity.

Ernst equation, Fay identities and variational formulas on hyperelliptic curves

C. Klein, D. Korotkin, V. Shramchenko, 2004, math-ph/0401055.

The Kerr Solution on Partially Degenerate Hyperelliptic Riemann Surfaces

C. Klein, 2003 .

Isomonodromy Approach to Boundary Value Problems for the Ernst Equation

C. Klein, 2003 .

Quantum (Dis)Charge of Black Hole Interiors.

C. Klein, J. Zahn, S. Hollands, 2021, Physical review letters.

fMathematik in den Naturwissenschaften Leipzig Numerical study of a multiscale expansion of the Korteweg de Vries equation

C. Klein, T. Grava, 2007 .

Wave attraction in resonant counter-propagating wave systems

V. Matveev, C. Klein, H. Jauslin, 2011 .