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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
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An Optimal Mass Transport Method for Random Genetic Drift
Geometric Partial Differential Equations - Part II
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High order, semi-implicit, energy stable schemes for gradient flows
Numerical complete solution for random genetic drift by energetic variational approach
Chenghua Duan, Chun Liu, Cheng Wang and Xingye Yue ESAIM: Mathematical Modelling and Numerical Analysis 53(2) 615 (2019) https://doi.org/10.1051/m2an/2018058
A Lagrangian Scheme for the Solution of Nonlinear Diffusion Equations Using Moving Simplex Meshes
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
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
Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms
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
Splitting-particle methods for structured population models: Convergence and applications