Convergence of a linearly transformed particle method for aggregation equations
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Publication:1663294
DOI10.1007/s00211-018-0958-2zbMath1408.65066arXiv1507.07405OpenAlexW2962862054WikidataQ91149734 ScholiaQ91149734MaRDI QIDQ1663294
Martin Campos Pinto, Frédérique Charles, Young-Pil Choi, José Antonio Carrillo
Publication date: 21 August 2018
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.07405
Interacting particle systems in time-dependent statistical mechanics (82C22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) PDEs in connection with mechanics of particles and systems of particles (35Q70)
Related Items (10)
Positive and free energy satisfying schemes for diffusion with interaction potentials ⋮ Analysis and Simulation of Nonlinear and Nonlocal Transport Equations ⋮ Primal dual methods for Wasserstein gradient flows ⋮ Hydrodynamic singular regimes in \(1+1\) kinetic models and spectral numerical methods ⋮ Convergence analysis of upwind type schemes for the aggregation equation with pointy potential ⋮ Aggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular Limits ⋮ A blob method for diffusion ⋮ Uniform Convergence of a Linearly Transformed Particle Method for the Vlasov--Poisson System ⋮ The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures ⋮ Fisher information regularization schemes for Wasserstein gradient flows
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