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math.AP2020★ 11 cited
Stability and instability in scalar balance laws: fronts and periodic waves
Vincent Duchêne, Luis Miguel Rodrigues
We complete a full classification of non-degenerate traveling waves of scalar balance laws from the point of view of spectral and nonlinear stability/instability under (piecewise)…
math.NA2020
Convergence Analysis of Asymptotic Preserving Schemes for Strongly Magnetized plasmas
Francis Filbet, Luis Miguel Rodrigues, Hamed Zakerzadeh
The present paper is devoted to the convergence analysis of a class of asymptotic preserving particle schemes [Filbet \& Rodrigues, SIAM J. Numer. Anal., 54 (2) (2016)] for the Vla…