<p>This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and originate from continuum mechanics. Ultimately, it highlights what is specific to and beneficial in the Lagrangian approach and its numerical methods. The two first
Numerical Methods for Eulerian and Lagrangian Conservation Laws
โ Scribed by Bruno Desprรฉs (auth.)
- Publisher
- Springer International Publishing
- Year
- 2017
- Tongue
- English
- Leaves
- 361
- Series
- Frontiers in Mathematics
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Front Matter....Pages i-xvii
Models....Pages 1-40
Scalar conservation laws....Pages 41-91
Systems and Lagrangian systems....Pages 93-163
Numerical discretization....Pages 165-261
Starting from the mesh....Pages 263-329
Back Matter....Pages 331-349
โฆ Subjects
Computational Mathematics and Numerical Analysis;Partial Differential Equations
๐ SIMILAR VOLUMES
This is a very good book, and covers all the main issues. It is clear and rigorous. Some topics are covered in brief and additional references may be needed to fully understand the topic.
These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Part I deals with the basic mathematical theory of the equations: the notion of weak solutions, entropy conditions, and a detailed description of the wave
<p>These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in deยญ veloping, analyzing