Bonus

This class of methods is contrasted with another class in which the differential operator is approximated with difference quotients. For 10 points each:
[10m] Name this class of numerical methods that solve a PDE by defining a discrete mesh and solving the problem on each component. The stiffness matrix is computed in this subclass of the Galerkin method.
ANSWER: finite element methods [accept finite element analysis or FEM or FEA; reject “finite difference method” or “finite volume method” or “FDM” or “FVM”]
[10e] Finite element methods use an operator named for this process, in which data are estimated at points between known data points.
ANSWER: interpolation [or interpolating; accept interpolation operator]
[10h] After discretizing, the existence of a solution to the adjoint problem is guaranteed by a theorem named for this mathematician, which also underpins bra-ket notation. This mathematician’s brother is the alphabetically first namesake of a theorem about interpolating operators on L-p (“big-L-P”) spaces.
ANSWER: Frigyes Riesz (“FREE-jesh REESS”) [accept Riesz representation theorem or Riesz-Fréchet representation theorem or Riesz–Thorin interpolation theorem; reject “Marcel Riesz”]
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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
Arizona StateOttawa010010E
Chicago AWUSTL A1010020ME
Chicago BMIT010010E
Columbia ANorthwestern010010E
Columbia BRIT010010E
FloridaPenn State1010020ME
Georgia StateBritish Columbia010010E
Georgia TechCornell A010010E
Illinois BVirginia1010020ME
Johns HopkinsHarvard1010020ME
LSEUC Berkeley B010010E
MarylandNorth Carolina B010010E
MichiganCornell B1010020ME
MinnesotaIowa State010010E
RutgersIndiana010010E
StanfordNorth Carolina A1010020ME
Toronto CTexas010010E
UC Berkeley AIllinois A1010020ME
UCFWinona State1010020ME
VanderbiltOhio State010010E
Virginia TechToronto B010010E
Waterloo AToronto A010010E
Waterloo BNYU1010020ME
YaleWUSTL B010010E

Summary

TournamentExact Match?HeardPPBEasy %Medium %Hard %
2025 ACF NationalsYes2413.75100%38%0%