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Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel
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A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling
Katy Craig, Karthik Elamvazhuthi, Matt Haberland and Olga Turanova Mathematics of Computation 92(344) 2575 (2023) https://doi.org/10.1090/mcom/3841
Convergence of a Lagrangian Discretization for Barotropic Fluids and Porous Media Flow
Thomas O. Gallouët, Quentin Mérigot and Andrea Natale SIAM Journal on Mathematical Analysis 54(3) 2990 (2022) https://doi.org/10.1137/21M1422756
An Optimal Mass Transport Method for Random Genetic Drift
Geometric Partial Differential Equations - Part II
Jose A. Carrillo, Daniel Matthes and Marie-Therese Wolfram Handbook of Numerical Analysis, Geometric Partial Differential Equations - Part II 22 271 (2021) https://doi.org/10.1016/bs.hna.2020.10.002
High order, semi-implicit, energy stable schemes for gradient flows
José Antonio Carrillo, Katy Craig and Francesco S. Patacchini Calculus of Variations and Partial Differential Equations 58(2) (2019) https://doi.org/10.1007/s00526-019-1486-3
Statistical mechanics of the periodic Benjamin–Ono equation
Optimization in structure population models through the Escalator Boxcar Train
Rinaldo M. Colombo, Piotr Gwiazda and Magdalena Rosińska ESAIM: Control, Optimisation and Calculus of Variations 24(1) 377 (2018) https://doi.org/10.1051/cocv/2017003
Numerical artifacts in the discontinuous Generalized Porous Medium Equation: How to avoid spurious temporal oscillations
Convergence of Entropic Schemes for Optimal Transport and Gradient Flows
Guillaume Carlier, Vincent Duval, Gabriel Peyré and Bernhard Schmitzer SIAM Journal on Mathematical Analysis 49(2) 1385 (2017) https://doi.org/10.1137/15M1050264
Finite range method of approximation for balance laws in measure spaces
Analysis of particle methods for structured population models with nonlocal boundary term in the framework of bounded Lipschitz distance
Piotr Gwiazda, Jędrzej Jabłoński, Anna Marciniak‐Czochra and Agnieszka Ulikowska Numerical Methods for Partial Differential Equations 30(6) 1797 (2014) https://doi.org/10.1002/num.21879
Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation