授课题目：Mathematical Modeling and Methods with Emphasis on Climate Systems

主讲人：James R. Brannan 教授 （Clemson University）

授课摘要：

The goal of the course is to foster an appreciation of the nature of applied mathematics through the formulation and analysis of selected problems in climate modeling. The course is not a compilation of methods, which would necessarily be incomplete anyway. We hope to convey to the student that mathematical models are invented, or discovered, by humans, through the use of imagination, reason, experience, analogy, and yes, trial and error. Mathematical modeling is both a craft and an art. The very act of attempting to construct a mathematical model forces the modeler to ask the most cogent questions about the phenomenon being investigated. The value of a foundational approach is that it promotes a creative attitude within the mind of the applied mathematician that is much more valuable than an encyclopedia of methods.

授课地点：华中科技大学东校区恩明楼813室

具体授课时间及主题：

4月27日：Methods of Applied Mathematics: Scaling and Simplification, Regular Perturbation Methods, Bifurcation Theory.

5月3日：The Effects of Solar Radiation on the Size of Ice Caps

5月8日：Relaxation Oscillations in an idealized ocean circulation model

5月10日：Exit Times for One-Dimensional Stochastic Resonance Processes

5月14日：The non-Gaussian Stochastic Model of Dansgaard-Oescheger Events

5月17日：Nonlinear Threshold Behavior During the Loss of Arctic Sea Ice

5月21日： System Identification Toolbox User’s Guide I

5月24日：System Identification Toolbox User’s Guide II