Start as a top student and move towards the stars and the sea

Yes, my research topic this time is about the Sobolev equation. When I was reading the paper, I found that you were the second author in a paper about the Sobolev equation, so I wanted to ask you for some relevant information. question.

Asking for advice is out of the question. If you have any questions, senior sister, just ask.

Song Xiyun put the information in her arms on the desk, pointed to a place in the information and asked:

Why is the hybrid finite element here constructed like this?

Ning Chen took one look and replied:

This structure is to enable high-precision analysis in semi-discrete format and fully discrete mode with higher accuracy in the future. Let's first define a finite element space...

Although most of the work in the paper was done by Tong Yicheng himself, after the paper was published, Ning Chen had read all the contents in the paper in detail and understood them all thoroughly.

After Ning Chen's explanation, Song Xiyun also understood the problem that was confusing her before.

I see, it's really an ingenious structure.

After consulting Ning Chen in person, Song Xiyun finally realized Ning Chen's talent in mathematics, and she was worthy of being the gold medal winner of the Autumn Competition All-Around Award.

Compared to Lin You, Ning Chen's mathematical ability may be even better by more than one level.

Ning Chen, thank you.

You're welcome. If you have any questions, please come over and discuss them together.

Ning Chen didn't feel disgusted with discussing issues with Song Xiyun. Of course, there was some politeness in his words.

Then... let's add QQ? Don't worry, I won't disturb you normally.

It's okay, but I'm not online very often, so I might be a little slower in replying to messages.

After the two of them finished adding QQ, Song Xiyun thanked Ning Chen again and left Ning Chen's dormitory.

Song Xiyun left a deep impression on Ning Chen. Ning Chen had met many female academic leaders before, but he had never met anyone with such good looks, figure and temperament as Song Xiyun.

Lin You, this senior student is considered very outstanding in Yan University, right?

Lin You smiled and said:

Of course, Song Xiyun was also recommended by Yan University through the mathematics competition, and she was the only girl on the IMO national team. It is not easy for girls to join the national training team. It may take several years for a girl to join the national team.

Ning Chen also expressed his admiration for this. Ning Chen knew that men have innate advantages over women in most sports and various mental competitions.

For example, in games such as Go, chess, and e-sports, which are very demanding on the brain, the so-called men's team actually allows female players to participate in the competition, but very few women can reach the same level as top male professional players.

Song Xiyun is a goddess-level figure in our Department of Mathematics. There are many people who want to pursue her, but she has a very high vision. Maybe she wants to focus on research, so she has always been single. Of course, she is still a human being. It’s very good. I have participated in a mathematical modeling competition with her before and it was a pleasure to work with her.”

Ning Chen has not participated in mathematical modeling competitions, but he also has some knowledge about mathematical modeling competitions.

Mathematical modeling competitions usually consist of three players forming a team, each of whom performs their own duties and is responsible for modeling, algorithm programming, and writing respectively.

This requires each team member to have strong professional abilities and team writing skills. Some team members can even have more abilities at the same time and be qualified for multiple jobs.

After listening to Lin You's narration about Song Xiyun, Ning Chen had a better impression of Song Xiyun, and of course it was more of an affirmation of her ability.

…

In the following days, Ning Chen continued to maintain a high-intensity study and research life every day, and accumulated experience in mathematics at a rapid rate.

Song Xiyun did not chat with Ning Chen on QQ, but occasionally asked Ning Chen some math questions. Ning Chen would patiently give her own answers after seeing the news.

Finally, with continuous accumulation, Ning Chen's mathematics subject experience reached 1,000 points.

At the moment when the mathematics subject level was upgraded to Level 2, all the pieces of mathematical knowledge in Ning Chen's brain were reorganized in a wonderful way.

This time, Ning Chen felt that it took much longer for his brain to sort out knowledge than before when he upgraded.

Ning Chen thinks that this should be because as the amount of knowledge accumulates, the workload of sorting out knowledge will naturally increase exponentially.

After an unknown amount of time, Ning Chen finally felt that his brain had completed the work of sorting out knowledge.

Feeling the changes in the information in his brain, Ning Chen felt that his understanding of mathematics had improved to a higher level. Some of the knowledge that he had not fully understood before was now fully understood.

Is this the effect of subject level improvement? It's really incredible!

Although this was not the first time that Ning Chen had upgraded a subject, Ning Chen couldn't help but sigh at the wonderful feeling of improving his knowledge level in a short period of time.

Not caring about rest, Ning Chen resumed his research on Qiu Chengtong's conjecture.

When his mathematics level was upgraded to Level 2, Ning Chen really felt that he had more ideas to solve Qiu Chengtong's conjecture.

Ning Chen quickly thought of several ideas that he could try. The fourth-order completely nonlinear elliptic equation that troubled Ning Chen before seemed not completely unsolvable.

Ning Chen first tried to use pure algebra to solve the equation, but after some attempts, he still felt that this method would probably not work.

No...if it is just a second-order completely nonlinear elliptic equation, although it is very complicated, it can still be solved as long as there is enough time. But the complexity of the fourth-order equation has indeed increased too much.

This did not dampen Ning Chen's confidence. Ning Chen continued to try other conceivable methods to continuously attack this equation.

A few days passed. Except for eating and sleeping, Ning Chen spent almost all his time on solving this problem. He didn't even attend the professors' open classes.

Seeing Ning Chen like this, Lin You was full of respect for Ning Chen.

Although Lin You didn't know whether Ning Chen could really solve this complex problem in the end, his attitude and determination to solve the problem alone made him far behind Ning Chen.

On this night, after experiencing countless failures, Ning Chen finally opened up a new path.

Ning Chen cleverly transformed this class of fourth-order completely nonlinear elliptic equations, which combined methods from various branches of mathematics such as multiple complex variable functions, differential geometry, algebraic geometry, and metric geometry, and also added some Ning Chen My own original method.

After this conversion, the entire equation was transformed into another problem, an equally complex problem, but one that can already see the light of day.

It was like trying to break through a small hole in the high wall. Although it was not enough to directly help Ning Chen knock down the high wall, it was enough to let Ning Chen understand the thickness of the wall.

After completing this big breakthrough, Ning Chen was very excited and even danced with excitement.

If ordinary people saw this scene, they might think that Ning Chen was poisoned by accidentally eating poisonous mushrooms.

But after all, Lin You had been with Ning Chen for a while, had a certain understanding of Ning Chen, and knew that Ning Chen must have made some progress.

Ning Chen, you finally found a breakthrough, right?

After hearing Lin You's words, Ning Chen nodded and replied:

Yes, there is finally some new progress. Are you busy now? If not, I will tell you about it.

Ning Chen is not worried that Lin You will plagiarize his work. On the one hand, Ning Chen believes in Lin You's character. On the other hand, the theory here is indeed very complicated and cannot be fully grasped without in-depth research.

Lin You looked happy when he heard this and said:

Ning Chen, can I really listen?

Lin You naturally wanted to see what method Ning Chen wanted to use to solve this complex problem. In Lin You's heart, what Ning Chen said was no less good than those mathematics professors.

Of course, as long as you don't tell anyone else.

Don't worry, I won't tell anyone else.

Next, Ning Chen explained to Lin You the transformation process of this equation according to his own ideas.

Lin You kept frowning while listening, and his brows did not relax until Ning Chen finished speaking.

No, these theories are still too difficult for me now. I'll wait until your paper is released and then I can study it slowly.