Christophe Besse

Orcid: 0000-0002-0086-8710

According to our database1, Christophe Besse authored at least 29 papers between 2002 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
An implicit time integration approach for simulation of corona discharges.
Comput. Phys. Commun., January, 2024

2023
Computation of excited states for the nonlinear Schr{ö}dinger equation: numerical and theoretical analysis.
CoRR, 2023

2022
High-order Scharfetter-Gummel-based schemes and applications to gas discharge modeling.
J. Comput. Phys., 2022

2021
Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions.
Math. Comput., 2021

Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library.
CoRR, 2021

2020
Dynamics of epidemic spreading on connected graphs.
CoRR, 2020

Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with oblique boundary conditions.
CoRR, 2020

Gradient Flow Approach to the Calculation of Ground States on Nonlinear Quantum Graphs.
CoRR, 2020

2019
Discrete transparent boundary conditions for the two-dimensional leap-frog scheme.
CoRR, 2019

2018
Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation.
Numerische Mathematik, 2018

Well-suited and adaptive post-processing for the visualization of <i>hp</i> simulation results.
J. Comput. Phys., 2018

Accurate, Automatic and Compressed Visualization of Radiated Helmholtz Fields from Boundary Element Solutions.
Proceedings of the Computational Science - ICCS 2018, 2018

2017
Schwarz waveform relaxation method for one-dimensional Schrödinger equation with general potential.
Numer. Algorithms, 2017

Domain Decomposition Algorithms for Two Dimensional Linear Schrödinger Equation.
J. Sci. Comput., 2017

Discrete transparent boundary conditions for the mixed KDV-BBM equation.
J. Comput. Phys., 2017

Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations.
Comput. Phys. Commun., 2017

2016
High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations.
J. Comput. Phys., 2016

2013
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential.
Numerische Mathematik, 2013

An Asymptotic Preserving Scheme Based on a New Formulation for NLS in the Semiclassical Limit.
Multiscale Model. Simul., 2013

Efficient Numerical Methods for Strongly Anisotropic Elliptic Equations.
J. Sci. Comput., 2013

Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations.
Comput. Phys. Commun., 2013

2011
Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations.
SIAM J. Sci. Comput., 2011

2009
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential.
J. Comput. Phys., 2009

2007
Numerical simulations of the ionospheric striation model in a non-uniform magnetic field.
Comput. Phys. Commun., 2007

2006
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations.
SIAM J. Numer. Anal., 2006

2005
Instability of the Ionospheric Plasma: Modeling and Analysis.
SIAM J. Appl. Math., 2005

2004
A Relaxation Scheme for the Nonlinear Schrödinger Equation.
SIAM J. Numer. Anal., 2004

Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions.
Math. Comput., 2004

2002
Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation.
SIAM J. Numer. Anal., 2002


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