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GRIN Verlag Analysis of Lattice-Boltzmann Methods - Mathematics

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Description

Explore a deep dive into numerical schemes with this doctoral thesis from the University of Constance. This academic work focuses on the analysis of Lattice-Boltzmann methods, providing an asymptotic and numeric investigation of a singularly perturbed system. Unlike standard Finite Element Methods (FEM) or Finite Volume Methods (FVM), this research examines the mesoscopic approach used to solve evolutionary partial differential equations (PDEs). By setting up an artificial, grid-based particle dynamics, the study demonstrates how appropriate averages provide approximate solutions to complex systems. This book serves as a specialized resource for researchers and students in the field of mathematical analysis and vector and tensor analysis. It offers a detailed look at how these novel algorithms function within the context of mathematical physics and computational modeling. This 2007 dissertation remains a significant reference for those studying the mechanics of particle-based numerical schemes and their application to partial differential equations.

Key Features

Detailed investigation of Lattice-Boltzmann algorithms as a novel class of numerical schemes for solving evolutionary partial differential equations.

Comparative analysis exploring the mesoscopic approach in contrast to traditional Finite Element and Finite Volume Methods.

Academic research originating from the University of Constance Fachbereich Mathematik & Statistik department.

In-depth study of artificial, grid-based particle dynamics used to generate approximate solutions through appropriate averages.

Specialized content focusing on the asymptotic and numeric investigation of singularly perturbed systems.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
07 September 2007
Listed Since
19 March 2010

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