Packet 8: Bonus 6
This method’s setup necessarily satisfies the Courant–Friedrich–Lewy stability criterion to prevent unbounded leapfrog integration. For 10 points each:
[10h] Name this numerical method developed by Kane S. Yee for solving PDEs in computational electromagnetism. This method discretizes a material into a staggered grid, and then iteratively steps the electric and magnetic fields.
ANSWER: finite-difference time-domain method [or FDTD method; or finite-difference time-domain algorithm; prompt on finite-difference method]
[10e] The FDTD method starts by approximating the spatial and temporal derivatives in the two Maxwell’s equations containing this multivariate operator, which is denoted “del cross.”
ANSWER: curl [or rotor]
[10m] The FDTD method usually employs boundary conditions named for this process, which are derived from the Sommerfeld radiation condition. This process causes electromagnetic energy to be transferred to internal energy of matter, causing attenuation.
ANSWER: absorption [or word forms such as absorbing]
<Stanford A, Physics> | H. Prelims 8 - Stanford A + Georgia Tech C + Columbia A + Columbia B
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 20 | 10.00 | 70% | 25% | 5% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|---|---|---|---|---|---|
| Cambridge | British Columbia | 0 | 10 | 0 | 10 | E |
| Georgia Tech A | Texas | 0 | 10 | 0 | 10 | E |
| Harvard | Ohio State | 0 | 10 | 0 | 10 | E |
| Illinois A | Stanford B | 0 | 10 | 0 | 10 | E |
| Illinois B | Chicago B | 0 | 10 | 0 | 10 | E |
| Indiana | Waterloo | 0 | 10 | 10 | 20 | EM |
| Michigan | Bruin | 0 | 10 | 0 | 10 | E |
| Minnesota | Purdue | 0 | 0 | 0 | 0 | |
| NYU B | Maryland A | 0 | 0 | 0 | 0 | |
| Penn State | Virginia Tech | 0 | 10 | 0 | 10 | E |
| Pittsburgh | MIT | 0 | 0 | 0 | 0 | |
| Rutgers | North Carolina | 0 | 0 | 10 | 10 | M |
| Swarthmore | Georgetown | 0 | 10 | 0 | 10 | E |
| Toronto A | Georgia Tech B | 10 | 10 | 10 | 30 | HEM |
| Toronto B | Northwestern A | 0 | 10 | 10 | 20 | EM |
| UC Berkeley B | Brown | 0 | 10 | 0 | 10 | E |
| UCLA | Maryland B | 0 | 10 | 0 | 10 | E |
| Vanderbilt | Northwestern B | 0 | 0 | 0 | 0 | |
| Virginia | UC Berkeley A | 0 | 0 | 0 | 0 | |
| WashU | Chicago A | 0 | 10 | 10 | 20 | EM |
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| Main Site | 2026-04-17 | ✓ | 20 | 10.00 | 70% | 25% | 5% |