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Structure-preserving integrators for dissipative systems based on reversible– irreversible splitting
Xiaocheng Shang and Hans Christian Öttinger Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476(2234) 20190446 (2020) https://doi.org/10.1098/rspa.2019.0446
Trend to equilibrium for systems with small cross-diffusion
Luca Alasio, Helene Ranetbauer, Markus Schmidtchen and Marie-Therese Wolfram ESAIM: Mathematical Modelling and Numerical Analysis 54(5) 1661 (2020) https://doi.org/10.1051/m2an/2020008
A Hybrid Mass Transport Finite Element Method for Keller–Segel Type Systems
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
A variational formulation of the BDF2 method for metric gradient flows
Numerical study of a particle method for gradient flows
José Antonio Carrillo, Yanghong Huang, Francesco Saverio Patacchini and Gershon Wolansky Kinetic & Related Models 10(3) 613 (2017) https://doi.org/10.3934/krm.2017025
Numerical Analysis of a Robust Free Energy Diminishing Finite Volume Scheme for Parabolic Equations with Gradient Structure
M. Di Francesco, S. Fagioli, M. D. Rosini and G. Russo Modeling and Simulation in Science, Engineering and Technology, Active Particles, Volume 1 333 (2017) https://doi.org/10.1007/978-3-319-49996-3_9
A Fully Discrete Variational Scheme for Solving Nonlinear Fokker--Planck Equations in Multiple Space Dimensions
Convergence of a Particle Method for Diffusive Gradient Flows in One Dimension
J. A. Carrillo, F. S. Patacchini, P. Sternberg and G. Wolansky SIAM Journal on Mathematical Analysis 48(6) 3708 (2016) https://doi.org/10.1137/16M1077210
Entropic Approximation of Wasserstein Gradient Flows