Math 475 - Spring 2022 - Alexiades
ASSIGNMENTS
Labs are due by midnight of Due Date
Assignment Due Date Description
Lab1 R 27 Jan Warmup programming and plotting
Lab2 M 1 Feb Newton solver
read § 1   about Applied/Industial Math
Lab3 M 7 Feb Roots, free software, languages
Lab4 M 14 Feb Roots and Equilibria
HW 1 — practice on Euler schemes
Lab5 W 16 Feb Euler scheme
Project1 T 22 Mar Project1: Single-size crystals
HW 2 — solving ODEs
Lab6 R 3 Mar Euler scheme for systems
Lab 7 M 4 Apr Explicit scheme for Diffusion
HW 3 R 31 Mar similarity solution for diffusion
Lab 8 M 25 Apr Advection - Diffusion
Project2 T 3 May Crystals of 2 sizes
Assignment due Description
! The End !
... I hope you enjoyed the class and learned a lot ...
All work DUE by midnight Thu May 12
(This page will be shut down by end of May... download whatever you want now...)
Important Dates  
  • Feb  1:  Submit project topic(s)
  • Feb 15:   Submit a group-project title, short description
  • Mar  1:   Submit a Proposal
  • Apr  1:   Submit a rough draft of your Report
  • May 10: (last class)   Submit the Team-Project Report
  • May 12: Team-Project presentations, during final exam period, 1-3pm
    Lecture-scans:  2. lec2.2022-01-27.pdf   3. lec3.2022-02-01.pdf   4. lec4.2022-02-03.pdf   5. lec5.2022-02-08.pdf   6. lec6.2022-02-10.pdf  
                  7. lec7.2022-02-15.pdf   8. lec8.2022-02-17.pdf   9. lec9.2022-02-22.pdf   10. lec10:PDEs §1,2-2C   11. lec11:PDEs §2C-3  
                12. lec12.2022-03-03.classfcn.pdf   13. lec13.2022-03-08.FV-mesh.pdf   14. lec14.2022-03-10.FV-BCs.pdf
                15. lec15.2022-03-22.CFL-skeltn.pdf   16. lec16.2022-03-24.erfSol.pdf   17. lec17.2022-03-29.advection.pdf  
                18. lec18.2022-03-31.adv-diff.pdf   19. lec19.2022-04-05.2D.pdf   20. lec20.2022-04-07.2D-CFD.pdf   21. lec21.2022-04-12.sts.pdf  
                22. lec22.2022-04-19.solvable.pdf   23. lec23.2022-04-21.PhaseCh.pdf   24. One-phase Stefan Problem   25. Two-phase Stefan Problem  
                26. Enthalpy scheme  
    Handouts: 0. About roundoff ,   1. Intro to PDEs ,   2.STS scheme ,   3. PhaseChange:ch1 ,   4. PhaseChange.2.1-2.2 ,   5.Enthalpy scheme
            Melting and Freezing(review article)
    Supplementary (enrichment) materials:
  • Hybrid modeling: towards the next level of scientific computing in engineering J.Math.Industry, 2022 ← NEW
  • Low Precision Floating-Point Formats SIAM News Nov.2019
  • Computational Research Software SIAM News Dec.2019
  • Solving ODEs by Heng Li, 2009
    Teams and their Projects - Spring 2022
  • Team A:  Blanchard, Mansfield, Northern:   Wardle, an Add-On to Wordle, Utilizing Information Theory... slides   report   photo
  • Team B:  Greenhalgh, Jones, Mize:   Modeling Potential Energy Surfaces with Numerical Methods slides   report   photo
  • Team C:  Macdougall, Maples, Smith:   Pendulums and The Small Angle Approximation slides   report   photo
  • Team D:  Caliskan, Jakowski, Zhang:   Analysis of Heat Conduction at Small Scales slides   report   photo
    Cvs                 Calendar: Spring 2022 (Jan 25 - May 12)   (if not aligned, use Firefox or Opera or IE browser) 
      
            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  3  4  5           1  2  3  4  5
                            6  7  8  9 10 11 12     6  7  8  9 10 11 12
                           13 14 15 16 17 18 19    13  spring break  19
                           20 21 22 23 24 25 26    20 21 22 23 24 25 26
         25 26 27 28 29    27 28                   27 28 29 30 31
   30 31

                    April                     May
            Su Mo Tu We Th Fr Sa      Su Mo Tu We Th Fr Sa
                            1  2       1  2  3  4  5  6  7
             3  4  5  6  7  8  9       8  9 10    12
            10 11 12 13 14 15 16
            17 18 19 20 21 22 23
            24 25 26 27 28 29 30
    ...... Return to Math 475 page
    ©2022   V. Alexiades     alexiades@utk.edu             Last Modified:   8 Dec 2022