Math 475 - Spring 2013 - Alexiades

ASSIGNMENTS
Assignment Due Date Description
Lab0 ...keep coming back
Lab1 M 14 Jan Warmup programming and plotting
Lab2 T 15 Jan Newton solver
read §1   about Applied/Industial Math
Lab3 T 22 Jan Roots, free software, languages
Lab4 T 29 Jan Roots and Equilibria
HW 1 − solving ODEs
HW 2 — practice on Euler schemes
Lab5 F 1 Feb Euler scheme
Project1 R 21 Feb Single-size crystals
Lab6 T 26 Feb Euler scheme for systems
Lab 7 M 4 Mar Explicit scheme for Diffusion
Project2 R 14 Mar Crystals of 2 sizes
Lab 8 R 4 Apr Advection - Diffusion
        Important Dates (marked red on Calendar below)
  • Feb 1  :   Submit a project topic.
  • Feb  15:   Submit a group project title.
  • Mar  1:   Submit a Proposal.
  • Apr  1:   Submit a rough draft of your Report.
  • Apr25:   Submit the Report.  
  • May 7:   Project presentations during final exam period 2:45-4:45
    Handouts: Intro to PDEs,   Num.HeatTransfer,   PhaseChange,ch1,   1-phase_StefanProblem,   Enthalpy scheme   Hilbert spaces   orthogonality-FourierExpansions
    Supplementary (enrichment) materials:
  • solving ODEs a nice brief survey of methods for non-stiff and stiff   (save it as PDF in case it disappears...) NEW  
  • Hyman, 2013   Quantifying the Uncertainty in Large Scale Simulations,   presented at SIAM-SEAS, UTK, 24Mar2013 NEW   HOT!
  • DoE ASCI Research to optimize uncertain energy future   about power grid optimization   NEW  
  • Role of Advection in Modeling Population Migrations   Oct.2012   (interesting advection-diffusion modeling of polulation migrations) NEW
  • Stokie, 2011   Atmospheric Dispersion Modeling, SIAM Review 53(2):349-372, 2011 NEW posting
  • Debugging: Art or Science?   Dr.Dobbs J., Nov.2012
  • Bellomo-Dogbei, 2011   On the Modeling of Traffic and Crowds (extensive survey of microscopic and macroscopic models, issues)
  • Thackham etal, 2009 Computational Approaches to Solving ... (good overview/comparison of FV methods)
  • kadioglu, 2011 < http://dx.doi.org/10.4236/ajcm.2011.14037 > A Gas Dynamics Method Based on... (nice FV paper, with good test problems)
  • DJ Higham, 2008 Modeling and Simulating Chemical Reactions SIAM Review, 50(2): 347-368, 2008 NEW posting
    Team A: Heat and mass transfer in a polymer electrolyte fuel cell:   Ashraf, Clement, Cekmer   presentation (.ppt) , report (.pdf)   photo
    Team B: Minimum Vaccination Levels For Epidemic Control:   Bachstein, Davis   presentation (.pdf) , report (.pdf)   photo
    Team C: Tsunami Propagation in 2D using Shallow Water Eqs:   Allen, Gaddis, Nair   presentation (.ppt) , report (.pdf)   photo
    Team D: Numerical Modeling of Induction Heating:   Sawyer, Stannard, Combs   presentation (.ppt) , report (.pdf)   photo
    Team E: Effects of Natural Disasters On Energy Production and Consumption:   Mikre, Myers, Morris   presentation (.pdf) , report (.pdf)   photo
    Team F: Mechanisms of Surface Ozone Variation in Atlanta:   Sun, Vogel, Yang   presentation (.pdf) , report (.pdf)   photo
                           Calendar: Spring 2013 
                January               February                 March
     Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
                                            1  2                   1  2
                 10 11 12    3  4  5  6  7  8  9    3  4  5  6  7  8  9
     13 14 15 16 17 18 19   10 11 12 13 14 15 16   10 11 12 13 14 15 16
     20 21 22 23 24 25 26   17 18 19 20 21 22 23   17 18 19 20 21 22 23
     27 28 29 30 31         24 25 26 27 28         24--Spring Break--30
                                                   31
                      April                   May        
              Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa 
                  1  2  3  4  5  6             1  2  3  4
               7  8  9 10 11 12 13    5  6  7  
              14 15 16 17 18 19 20   
              21 22 23 24 25 26 27  
              28 29 30
    ...... Return to Math 475 page
    ©2013   V. Alexiades     alexiades@utk.edu             Last Modified:   8 May 2013