Convergence of the Hamiltonian particle-mesh method for barotropic fluid flow

DOI10.1090/S0025-5718-2012-02648-2zbMath1322.76049OpenAlexW2099795855MaRDI QIDQ4912006

Marcel Oliver, Vladimir Viktorovich Molchanov

Publication date: 20 March 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2012-02648-2

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Cites Work

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• The convergence of the SPH method
• On the connection between Hamiltonian many-particle systems and the hydrodynamical equations
• Compactly supported radial functions and the Strang-Fix condition
• Conservation properties of smoothed particle hydrodynamics applied to the shallow water equation
• On the Rate of Convergence of the Hamiltonian Particle-Mesh Method
• Simulating Hamiltonian Dynamics
• Smoothed particle hydrodynamics: theory and application to non-spherical stars
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
• Convergence of the Hamiltonian Particle‐Mesh Method Applied to Barotropic Fluid Equations
• Hamiltonian Particle-Mesh Method for Two-Layer Shallow-Water Equations Subject to the Rigid-Lid Approximation
• A particle method for a self‐gravitating fluid: A convergence result

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