NUMERICAL TREATMENT OF A NONLINEAR NONLOCAL TRANSPORT EQUATION MODELING CRYSTAL PRECIPITATION

DOI10.1142/S021820250800311XzbMath1156.82021OpenAlexW2039054667MaRDI QIDQ3545960

Silvia Palpacelli, Romina Gobbi, Renato Spigler

Publication date: 11 December 2008

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021820250800311x

zbMATH Keywords

nonlocal hyperbolic equationsOstwald ripeningsemi-implicit methodsShannon samplingcrystal precipitationnonlinear nonlocal transport equationspartial differential equations singular at the boundary

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Suspensions (76T20) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Transport processes in time-dependent statistical mechanics (82C70) Granular flows (76T25) Sampling theory in information and communication theory (94A20)

Related Items (4)

A backward approach to certain class of transport equations in any dimension based on the Shannon sampling theorem ⋮ ERRATA: "NUMERICAL TREATMENT OF A NONLINEAR NONLOCAL TRANSPORT EQUATION MODELING CRYSTAL PRECIPITATION" ⋮ Numerical solution of certain classes of transport equations in any dimension by Shannon sampling ⋮ Transport-diffusion models with nonlinear boundary conditions and solution by generalized collocation methods

Cites Work

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• A numerical study on large-time asymptotics of the Lifshitz--Slyozov system
• Crystal precipitation with discrete initial data
• A model of crystal precipitation
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
• Numerical Approximation of the Lifshitz--Slyozov--Wagner Equation
• Orthogonal Sampling Formulas: A Unified Approach

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