Semi-Lagrangian Advection Methods and Their Applications in Geoscience – Ebook PDF Instant Delivery – ISBN(s): 9780128172223,0128172223
Product details:
- ISBN-10 : 0128172223
- ISBN-13 : 978-0128172223
- Author: Steven J. Fletcher
Semi-Lagrangian Advection Methods and Their Applications in Geoscience provides a much-needed resource on semi-Lagrangian theory, methods, and applications. Covering a variety of applications, the book brings together developments of the semi-Lagrangian in one place and offers a comparison of semi-Lagrangian methods with Eulerian-based approaches. It also includes a chapter dedicated to difficulties of dealing with the adjoint of semi-Lagrangian methods and illustrates the behavior of different schemes for different applications. This allows for a better understanding of which schemes are most efficient, stable, consistent, and likely to introduce the minimum model error into a given problem.
Table contents:
1. Introduction
2. Eulerian modeling of advection problems
3. Stability, consistency, and convergence of Eulerian advection based numerical methods
4. History of semi-Lagrangian methods
5. Semi-Lagrangian methods for linear advection problems
6. Interpolation methods
7. Stability and consistency analysis of semi-Lagrangian methods for the linear problem
8. Advection with nonconstant velocities9. Nonzero forcings
10. Semi-Lagrangian methods for two-dimensional problems
11. Semi-Lagrangian methods for three-dimentional problems
12. Semi-Lagrangian methods on a sphere
13. Shape-preserving and mass-conserving semi-Lagrangian approaches
14. Tangent linear modeling and adjoints of semi-Lagrangian methods
15. Applications of semi-Lagrangian methods in the geosciences
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