Atmos1 - Thu. Sep. 7, 2006 ATMS 502 Jewett Homework #1 due...

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1 Thu. Sep. 7, 2006 ATMS 502 Jewett Homework #1 – due in class Thursday, Sep. 21, 2006 As noted in class, you may work with others on this assignment, but what you hand in must be your own work. No copying allowed! 1. Characterize the Lotka-Volterra solutions we looked at early in the class. What went wrong with our approach - what kind of errors were apparent? From the limited evidence given to you, do you believe the method would converge to the correct solution? Why? 2. Describe the difference between initial and boundary value problems. What is the chief computational concern for initial value problems? 3. Consider the equation below: " 2 u x 2 + 3 xy 2 u x y # 2 x 2 u 2 u y 2 = 12 y a) Is this differential equation linear? Why or why not? b) What is the order of this differential equation? _______ 4. Is the following equation hyperbolic, parabolic or elliptical? u
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This note was uploaded on 10/06/2009 for the course ATMOSPHERI 502 taught by Professor Jewett during the Fall '09 term at University of Illinois at Urbana–Champaign.

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Atmos1 - Thu. Sep. 7, 2006 ATMS 502 Jewett Homework #1 due...

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