Math 578 - Spring 2021 - Alexiades
ASSIGNMENTS
assigned LAB Description due
class 1:
R 21 Jan
Lab 1 Warmup programming and plotting M 25 Jan
class 1:
S Jan 23
Lab 2_part1 Diffusion code S Jan 30
class 2:
S Jan 23
Lab 2_part2 Diffusion of square bump S Feb 13
class 3:
R Jan 28
HW 1 exact solution of semi-infinite diffusion problem R Feb 11
class 3:
R Jan 28
Lab 3 Diffusion - comparison with exact solution S Feb 6
class 5:
R Feb 4
par-1 towards Parallelism - basics M Feb 15
class 5:
R Feb 4
Lab 4    parallelization of 1D code S Mar 13
class 9:
R Feb 18
Lab 5 axisymmetric Heat Transfer - algorithm S Mar 6
class 13:
T Mar 9
Lab 6 axisymmetric Heat Transfer - serial code S Mar 20
class 15:
R Mar 11
par-2 ACF and running code   —
class 17
R Mar 18
Lab 7 parallelization of 2D code M May 3
class 20:
T Mar 30
Lab 8 Advection-Diffusion R Apr 22
assigned LAB Description due
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  • UTK Advanced Computing Facility (ACF):   account request, ask to be added to class account ACF-UTK0151
  • After your account is set, direct login to : ISAAC portal to ACF   UTK's Advanced Computing Facility
    Lecture Zoom videos are on Canvas under Modules
    Lecture scans: 1. lec1.2021-01-21.scans.pdf   2. lec2.2021-01-26.scans.pdf   3. lec3.2021-01-28.scans.pdf
               4. lec4.2021-02-02.scans.pdf   5. lec5.2021-02-04.scans.pdf   6. lec6: parallelizing(links in Lab4)
               7. lec7: parallelizing(link in Lab4)   8. lec8: parallelizing(Makefiles) ,  Amdahl_law
               9. lec9.2D_discr,3D_prob.pdf   10. lec10.sts.pdf   sts-paper   11. lec11.fluxes.pdf
               12. lec12.fluxLaws.pdf  , lec12.classfcn.pdf   13. 1st_order_PDEs   lec13.adv-FV-CFL-BCs
               14. lec14.578.adv-diff.pdf   15. lec15.consistency,ver-val.pdf   16. stability_ideas  , normalModes.pdf
               17. gridFcns   18. semidiscr, ODEs   19. ODEs: RK,multistep,stability   20. positivity , LaserAblation-timings
               21. LaserAblation-timings , hyperbConsLaws-1   22. hyperbConsLaws-2   23. Burgers, weak sol
               24. Burgers, weak sol   25. monotone,TVD,max-principle   26. high resolution schemes   27. WENO   28. Zhang-Shu scheme


    Handouts: 1. Intro to PDEs   2. coding_for_performance   3. Num_Heat_Transfer,   4. STS scheme ,  
            5. 1st_order_PDEs,   6. Stability_ideas,   7. Burgers equ - shocks    
    Supplementary material of interest:
  • Fast Sparse Grid Simulations of 5th Order WENO for High Dimensional Hyperbolic PDEs J Sci.Comput, Apr.2021   <— NEW
  • Low Precision Floating-Point Formats SIAM News Nov.2019
  • PLUTO code FV Godunov schemes for conservation laws (astrophysics), uses AMR, MPI, STS, ...   <— NEW
  • On Efficiency of Parallel Solvers for Blood Flow through Aortic Valve, Math.Model.Anal., 2017
  • Simple Bound-Preserving Sweeping Technique for Conservative schemes J Sci Comput 2017
  • A survey on parallel computing ... using GPU architectures   2014, excellent survey
  • Intro to High Performance Scientific Computing, by Victor Eijkhout, 2014,2016 excellent, a bible for sci.computing!
  • a nice brief overview of Numerical Analysis by Arieh Iserles, 2012



                        Calendar: Spring 2021     (if not aligned, use Firefox or Opera or IE browser)
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