Finite Difference Computing with Exponential Decay Models.
| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing AG,
2016.
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| Edition: | 1st ed. |
| Series: | Lecture Notes in Computational Science and Engineering Series
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| Subjects: | |
| Online Access: | Click to View |
Table of Contents:
- Intro
- Preface
- Contents
- List of Exercises, Problems, and Projects
- 1 Algorithms and Implementations
- 1.1 Finite Difference Methods
- 1.2 Implementations
- 1.3 Exercises
- 2 Analysis
- 2.1 Experimental Investigations
- 2.2 Stability
- 2.3 Accuracy
- 2.4 Various Types of Errors in a Differential Equation Model
- 2.5 Exercises
- 3 Generalizations
- 3.1 Model Extensions
- 3.2 General First-Order ODEs
- 3.3 Exercises
- 4 Models
- 4.1 Scaling
- 4.2 Evolution of a Population
- 4.3 Compound Interest and Inflation
- 4.4 Newton's Law of Cooling
- 4.5 Radioactive Decay
- 4.6 Chemical Kinetics
- 4.7 Spreading of Diseases
- 4.8 Predator-Prey Models in Ecology
- 4.9 Decay of Atmospheric Pressure with Altitude
- 4.10 Compaction of Sediments
- 4.11 Vertical Motion of a Body in a Viscous Fluid
- 4.12 Viscoelastic Materials
- 4.13 Decay ODEs from Solving a PDE by Fourier Expansions
- 4.14 Exercises
- 5 Scientific Software Engineering
- 5.1 Implementations with Functions and Modules
- 5.2 User Interfaces
- 5.3 Tests for Verifying Implementations
- 5.4 Sharing the Software with Other Users
- 5.5 Classes for Problem and Solution Method
- 5.6 Automating Scientific Experiments
- 5.7 Exercises
- References
- Index.