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17 reviews(Ebook) Numerical Analysis of Lattice Boltzmann Methods for the Heat Equation on a Bounded Interval 1st Edition by Jan Philipp Weiß - Ebook PDF Instant Download/Delivery: 9783866440692 ,3866440693
Full download (Ebook) Numerical Analysis of Lattice Boltzmann Methods for the Heat Equation on a Bounded Interval 1st Edition after payment
Product details:
ISBN 10: 3866440693
ISBN 13: 9783866440692
Author: Jan Philipp Weiß
(Ebook) Numerical Analysis of Lattice Boltzmann Methods for the Heat Equation on a Bounded Interval 1st Edition Table of contents:
1. Introduction
Motivation and Background
Goals and Scope of the Study
Outline of the Monograph
2. Mathematical Foundations
The One-Dimensional Heat Equation
The Goldstein–Taylor Model
Mathematical Preliminaries: Stability, Convergence, and Fourier Analysis
3. Lattice Boltzmann Methods (LBM)
Principles of LBM
Discrete Models and Collision Operators
Application of LBM to Heat Conduction
4. Boundary Conditions & Discretization
Selection of Boundary Conditions
Implementation of LBM on Bounded Domains
Discretization Strategies and Schemes
5. Stability Analysis
Analytical Techniques for Stability
Energy Estimate Methods
Results and Theoretical Bounds
6. Convergence and Error Analysis
Fourier Representation Methods
Consistency, Stability, and Convergence
Error Estimates and Rate of Convergence
7. Numerical Experiments & Case Studies
Test Cases for Heat Propagation
Benchmark Comparisons
Validation Against Theoretical Predictions
8. Discussion
Summary of Findings
Methodological Implications
Limitations and Areas for Further Research
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Tags: Jan Philipp Weiß, Numerical Analysis, Lattice Boltzmann, Heat Equation
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