http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Numerical Simulation -- Role of Numerical Simulation -- Solution Procedure of General Numerical Simulations -- Grid-based Methods -- Lagrangian Grid -- Eulerian Grid -- Combined Lagrangian and Eulerian Grids -- Limitations of the Grid-Based Methods -- Meshfree Methods -- Meshfree Particle Methods (MPMs) -- Solution Strategy of MPMs -- Particle Representation -- Particle Approximation -- Solution Procedure of MPMs -- Smoothed Particle Hydrodynamics (SPH) -- The SPH Method -- Briefing on the History of the SPH Method -- The SPH Method in This Book -- SPH Concept and Essential Formulation -- Basic Ideas of SPH -- Essential Formulation of SPH -- Integral Representation of a Function -- Integral Representation of the Derivative of a Function -- Particle Approximation -- Some Techniques in Deriving SPH Formulations -- Other Fundamental Issues -- Support and Influence Domain -- Physical Influence Domain -- Particle-in-Cell (PIC) Method -- Constructing Smoothing Functions -- Conditions for Constructing Smoothing Functions -- Approximation of a Field Function -- Approximation of the Derivatives of a Field Function -- Consistency of the Kernel Approximation -- Consistency of the Particle Approximation -- Constructing Smoothing Functions -- Constructing Smoothing Functions in Polynomial Form -- Some Related Issues -- Examples of Constructing Smoothing Functions -- Dome-Shaped Quadratic Smoothing Function -- Quartic Smoothing Function -- Piecewise Cubic Smoothing Function -- Piecewise Quintic Smoothing Function.
Méthodes sans maillage (Analyse numérique)