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Product No. 99815 Supplementary Print Price: FREE with membership
 

Climate Modeling in Differential Equations

James Walsh


Mathematics Topic:
Difference Equations, Modeling
Application Areas:
Climatology, Environmental Science
Prerequisites:
Linearization theorem for first-order autnomous ordinary differential equations, phase lines, phase planes, bifurcations, nullclines.

| ©2015 by COMAP, Inc. | UMAP Journal 36.4 | 39 pages |


This Module develops some simple energy balance models for the temperature of the Earth, through exercises, a sample exam question, and a team project.

Table of Contents

1. INTRODUCTION

2. GLOBAL AVERAGE TEMPERATURE MODELS

3. BIFURCATION

4. SAMPLE EXAM QUESTION ON BIFURCATIONS

5. PROJECT: SURFACE TEMPERATURE–ICE SHEET COUPLED MODEL
5.1 Introduction
5.2 A Latitude-Dependent Model
5.2.1 Glaciers
5.2.2 Distribution of Insolation
5.2.3 Meridional Heat Transport
5.2.4 Legendre Polynomials
5.3 Putting It All Together
5.4 Project Problems

6. SOLUTIONS TO THE EXERCISES

7. SOLUTIONS TO THE SAMPLE EXAM PROBLEM

8. SOLUTIONS TO THE PROJECT PROBLEMS

APPENDIX: MATHEMATICA PROGRAMS

NOTES FOR THE INSTRUCTOR

REFERENCES