Optimal convergence rate of the multitype sticky particle approximation of one-dimensional diagonal hyperbolic systems with monotonic initial data
DOI10.3934/dcds.2016015zbMath1416.65393arXiv1507.01085OpenAlexW2963664679MaRDI QIDQ321609
Julien Reygner, Benjamin Jourdain
Publication date: 14 October 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.01085
Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Initial value problems for first-order hyperbolic systems (35L45) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finding the convex hull of a sorted point set in parallel
- Another efficient algorithm for convex hulls in two dimensions
- Signed sticky particles and 1D scalar conservation laws
- Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- Non-existence and non-uniqueness for multidimensional sticky particle systems
- An efficient algorithm for determining the convex hull of a finite planar set
- A multitype sticky particle construction of Wasserstein stable semigroups solving one-dimensional diagonal hyperbolic systems with large monotonic data
- Sticky Particles and Scalar Conservation Laws
- Finite Volume Methods for Hyperbolic Problems
- Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness
- One-dimensional empirical measures, order statistics, and Kantorovich transport distances
- Optimal Transport
