M518 - Alexiades - UTK/Math

Math 518 - Fall 2024 - Alexiades
ASSIGNMENTS
Labs are due by midnight of Due Date

*Assignment*	*Due Date*	*Description*
Lab1	S Aug 24	Warmup programming and plotting
Lab2	W Aug 28	Newton solver
read § 1		about Applied/Industial Math
Lab3	F 6 Sep	Roots, free software, languages
Lab4	M 9 Sep	Roots and Equilibria
HW 1	—	practice on Euler schemes
Lab5	F 13 Sep	Euler scheme
Project1	R 10 Oct	Project1: Single-size crystals
Lab6	M 30 Sep	Euler scheme for systems
HW 2	—	solving ODEs analytically

*Assignment*	*due*	*Description*

Important Dates

Sep 1: Submit topic(s) for Team-Project (by email with Subject: TeamProject topics)

Sep 15: Submit a Team-Project title, short description

Oct 1: Submit Team-Project proposal

Nov 1: Submit a rough draft of Team-Project Report

Dec 3: (last class) Submit the Team-Project Report

Dec 11: Team-Project presentations, during final exam period, 1-3pm

Lecture Notes:
1. roots-Newton.pdf 2. crystal-precip.pdf 3. ODEs.pdf 4. single-size.pdf 5. Euler-scheme.pdf 6. errors.pdf
7. N-sizes.pdf 8. Euler-systems.pdf 9. chemReactions.pdf
10. PDEbk-ch00.pdf

Handouts: 0. About roundoff , 1. Intro to PDEs

Supplementary (enrichment) materials:

Scientific Machine Learning Through Physics–Informed Neural Networks J.Sci.Computing 92:88 2022 (extensive review on PINNs)

Hybrid modeling: towards the next level of scientific computing in engineering J.Math.Industry, 2022

Low Precision Floating-Point Formats SIAM News Nov.2019

Solving ODEs by Heng Li, 2009

Teams and their Projects - Fall 2024

Team A: Anto, Cona, Dixon, Shahi, Knight : Training Machine Learning to Model PDEs

Team B: Le, Murray, Richardson, Toth : Machine Learning For Optical Character Recognition

Team C: Connor, Clyde, Peltier, Williams : Predicting K_eff for Spherical Uranium

Team D: Acquah, Ban, Rogers, Sapkota : Boundary Feedback Control using POD

Team E: Callender, Greene, Sherrod, Stonecipher : Adaptive Control for Nonlinear Automotive Systems

Calendar: Fall 2024 (Aug 19 - Dec 3) (if not aligned, use Firefox or Opera or Edge browser)

  
          August                  September               October
   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  6  7           1  2  3  4  5
                            8  9 10 11 12 13 14     6  7  8  9 10 11 12
                           15 16 17 18 19 20 21    13 14 15 16 17 18 19
      19 20 21 22 23 24    22 23 24 25 26 27 28    20 21 22 23 24 25 26
   25 26 27 28 29 30 31    29 30                   27 28 29 30 31

                    November                  December
              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 11 
              10 11 12 13 14 15 16 
              17 18 19 20 21 22 23
              24 25 26 27 28 29 30

Cvs