Conservative numerical schemes for the Vlasov equation

By Francis Filbet, Eric Sonnendrücker, P. Bertrand. 2001

429 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Applied Mathematics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2e3cf39f9dd24c802f8a68ef75968298064b8d4f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. Giovanni Manfredi
2. Lorenzo Pareschi
3. Giacomo Dimarco
4. Chang Liu
5. K. Xu
6. Eric Sonnendrücker
7. Francis Filbet

In Applied Mathematics

1. Lorenzo Pareschi
2. Giacomo Dimarco
3. K. Xu
4. Chang Liu
5. Giovanni Manfredi
6. Francis Filbet
7. Eric Sonnendrücker
8. Juan-Chen Huang

In Nuclear and High Energy Physics

1. Chang Liu
2. K. Xu
3. Giovanni Manfredi
4. Lorenzo Pareschi
5. Giacomo Dimarco
6. Eric Sonnendrücker
7. Francis Filbet

Citations in the corpus

• Numerical methods for kinetic equations* (2014, methodology): “…in particular, we consider applications to the Vlasov–Poisson system (Cheng and Knorr 1976, Crouseilles et al. 2010, Sonnendrücker et al. 1999, Filbet et al. 2001) and to the BGK equation of rarefied gas dynamics (Filbet and Russo 2009, Santagati, Russo and Yun 2012, Dimarco and Loubère…”
• A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and Multi-Component Plasma Transport (2016, methodology): “Based on the high accurate phase space reconstruction techniques, many high order Vlasov solvers are proposed such as the conservative method [4], the semi-Lagrange method [8], the finite element method [9], and finite difference method [10].”
• Comparison of Eulerian Vlasov solvers (2003, methodology): “This method was introduced recently in [8].”
• How to model quantum plasmas (2005, methodology): “We have performed numerical simulations of the VP system using a Vlasov Eulerian code [43, 44].”