316 citations · 2.6k across the 149 of their papers we have counts for
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Random batch particle methods for the homogeneous Landau equation
José Antonio Carrillo, Shi Jin, Yijia Tang
We consider in this paper random batch particle methods for efficiently solving the homogeneous Landau equation in plasma physics. The methods are stochastic variations of the part…
Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation
Rafael Bailo, José A. Carrillo, Jingwei Hu
We propose finite-volume schemes for general continuity equations which preserve positivity and global bounds that arise from saturation effects in the mobility function. In the ca…
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension
Timon S. Gutleb, José A. Carrillo, Sheehan Olver
We present a numerical approach for computing attractive-repulsive power law equilibrium measures in arbitrary dimension. We prove new recurrence relationships for radial Jacobi po…
Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation
Rafael Bailo, José A. Carrillo, Serafim Kalliadasis +1
We propose finite-volume schemes for the Cahn-Hilliard equation which unconditionally and discretely preserve the boundedness of the phase field and the dissipation of the free ene…