I was a top student in America.

Chapter 110 Are High School Students This Curious? (Please Subscribe)

In the afternoon, Li Ao began to use his familiar discrete average estimation method to try to re-derive the boundary correction term.

During the derivation process, whenever he encountered discrepancies in the naming of physical symbols or codes, he would directly ask Amber, who was sitting next to him.

In the latter half of the process, the two were almost checking the code and formulas line by line.

Amber's expression repeatedly showed surprise. Li Ao's absorption speed of discrete models far exceeded her expectations, and his derivation ideas were extremely clear, showing no signs of a novice's awkwardness.

Even so, by dusk they still had not been able to finalize a stable boundary weight scheme.

Although no breakthrough has been achieved in the core aspects of the project yet, Li Ao still benefited greatly from this intensive derivation process.

[During high-intensity scientific research practice — Intelligence +0.1]

[During high-intensity scientific research practice — Physical stamina +0.1]

As evening fell, Li Ao stared at the system panel that appeared in his field of vision, secretly calculating in his mind: at the current pace, he would be able to push his stamina attribute past the 120 mark in two days at most.

Although the research project has not yet yielded any results, the growth in these attribute points alone makes being brought into the project worthwhile.

More importantly, this is solid practical engineering experience, which will help him integrate into or even lead similar large-scale projects more quickly in the future.

As he was pondering this, Ah-Qiong got up and walked to his desk: "Leo, it's almost time. You can go back and rest tonight. You don't need to stay here any longer. Don't let things in the group affect your studies and rest."

Arjun was clearly acting in good faith.

In his view, Li Ao is still a high school student. If scientific research projects completely crowd out his basic studies, it would be putting the cart before the horse.

Before Li Ao could answer, Amber chimed in with a smile, "I heard David mention that Leo has recently been self-studying complex analysis. How's his progress?"

"I've finished learning complex analysis, and I've just started looking at functional analysis and partial differential equations," Li Ao replied truthfully.

Amber's smile faltered slightly: "You've already seen PDEs (partial differential equations)?"

Upon hearing this name, Arjun, Bella, Carter, and the others all turned around in unison, their eyes filled with disbelief.

To master complex analysis in high school would be no easy feat, even with 15 or 16 hours of study a day, let alone the fact that they had just talked about it during the day, and that Li Ao had been preparing for the International Mathematical Olympiad.

Recalling the hardships they had endured in complex functions and mathematical physics equations during their undergraduate studies, the others couldn't help but look at Li Ao with a hint of admiration.

High school students who were specially approved by Professor Rudy to join the group are indeed beyond the realm of ordinary understanding.

Arjun paused for two seconds, then realized her earlier worries were unnecessary: ​​"Alright, then you manage your time well."

.

Li Ao nodded in agreement.

Staying in this office would not only allow him to accumulate research experience but also continuously improve his attributes, so he naturally didn't want to leave prematurely.

"If you get stuck, just call me anytime," Amber added at the opportune moment.

"Thank you," Li Ao said earnestly.

And so, until nearly midnight, Li Ao maintained an extremely high level of focus thanks to the "Endurance" attribute, showing no sign of finishing his work.

In contrast, Isabella, Carter, and the others could no longer hide the fatigue on their faces.

They had intended to pack up and go back to their apartment, but seeing a high school student still diligently researching and writing next to them, they suddenly felt it was a bit unreasonable to leave work early.

Finally, Isabella broke the silence first: "Leo, it's getting late, how about we all head out for now?"

"I'm not that sleepy yet, I want to finish running this set of boundary outputs. You guys go ahead, I'll lock the door before I leave."

Li Ao raised his head, his eyes clear.

Whether it's physical training with the basketball team, intensive training at a math summer camp, or daily self-study, he always makes it a habit to be the last one to finish.

Moreover, there is no air conditioning in apartment 306. In the middle of summer, the office is not only cool, but also has more complete access to the document database.

Isabella and the others exchanged glances, their expressions complex.

No, are all high school students this meticulous these days?

Over the next two days, Li Ao's schedule became completely fixed: he spent his days in the JFI research group's office, and didn't get up until after midnight to return to his apartment in the South District. The next day, he was the first to arrive, and he showed no signs of fatigue.

This made several doctoral students in the group realize that youth is indeed the most valuable asset in scientific research.

Whether it's staying up all night or doing intense formula derivations, the other person can handle it all with ease, while by the time they reach their doctoral level, their physical abilities are no longer what they used to be.

However, the two days of continuous work were not without results.

Through repeated discussions with Amber on discrete trace inequalities and boundary mode decomposition, Li Ao explored a feasible derivation direction.

If all goes well, they may be able to explain, from a mathematical perspective, the fundamental reason why the increased boundary weights lead to lower bound relaxation before the interim meeting.

Sunday.

Li Ao and Isabella each sat at their respective workstations by the window in the JFI office.

While most of the project team rested over the weekend, Li Ao came to the office as usual to continue tackling the boundary weight problem.

Since Li Ao joined the group, Isabella has also been influenced by this atmosphere, and she has become very tense.

She dug out her textbooks on linear algebra and numerical analysis to try to fill in the gaps in her knowledge, hoping at least that she could understand the project team's discussions in the future, instead of being stuck doing only the most basic data organization forever.

Now, unless she has other commitments, she comes to the office to study.

If they happen to run into Li Ao, the two of them will study quietly like college students in a study room.

Although the interaction was limited, Isabella still felt she had learned a great deal.

Concentration is contagious. With such an extremely focused companion sitting next to her, she felt embarrassed to slack off.

"Under worst-case parameters, the boundary correction term does indeed exceed the safety margin that the internal term can provide."

Li Ao stared intently at the curve on the monitor, his expression grave.

This is the result he obtained after rerunning the abnormal data using a script.

A line of values ​​is clearly displayed on the screen: R—boundary/E—bulk=1.37.

Amber had previously mentioned that an overly strong boundary correction remainder could lead to a looser estimate, but it wasn't until he ran the data himself that he truly grasped the severity of the problem.

If a uniform constant is continued to be used to handle the boundary remainder, the lower bound constant will become too conservative and inaccurate once the boundary coupling is enhanced.

Even a localized high-frequency oscillation within the boundary layer can drag down the overall estimation accuracy.

Such crude data is absolutely unacceptable for dealing with the U.S. Department of Energy's interim review.

"The discrete average estimation method I derived may be more suitable for separating the local modes of the boundary layer and processing them separately, rather than trying to suppress the entire boundary layer with a uniform constant."

After clarifying his thoughts, Li Ao moved the curve window on the monitor to one side, preparing to start deriving the curve.

Just then, a light blue system panel suddenly appeared before my eyes.

[Under intense and continuous learning — Physical stamina +1]

[Stamina: 120.0]