Research starts with PhD students

Chapter 96 The boss's momentum! Award ceremony, officially announced the completion of the certification!
Room 7.

Li Jianfeng talked about the NS equation simulation calculation research done by the team.

He is the chief expert in partial differential equations at the Donggang Mathematical Center. When he was young, he worked at the University of Tokyo for seven years. He has given reports at the International Congress of Mathematicians and won the Chern Mathematics Award from the Chinese Mathematical Society.

This resume cannot be said to be the best, but it is also a level higher than ordinary outstanding scholars like Zhou Kaijun.

Li Jianfeng made a work report on behalf of the team, which means that the research has not been completed yet, so he talked about the progress of the research.

He first introduced the team members involved in the research, including two researchers in the field of partial differential equations and five outstanding young scholars.

Then, we got to the point.

The NS equation is a very complex partial differential equation. Due to its serious "nonlinear" characteristics, it is very difficult to perform computational simulation. Most of the initial methods used are discretization methods.

There are many methods for discretization, including finite difference method, finite volume method, finite element method, etc.

Li Jianfeng's team used the finite difference method and the finite element method in their research. After discretization, they entered the next step -
Solve the system of equations numerically.

Before that, boundary conditions and initial conditions must be set.

These settings reflect the momentary state and physical properties of the fluid in real applications.

"After setting the boundary conditions, we can use numerical methods to solve the problem."

"Here, we have referred to the parameter analysis method of Professor Zhang Shuo from the Institute of Advanced Mathematics of Soochow University..."

Li Jianfeng spoke frankly about his reference to Zhang Shuo's research.

Many people looked at Zhang Shuo.

A professor named Zhu Zhiyang gave him a thumbs up and said, "Your research on the general algorithm is really remarkable. Now many numerical calculations of PDE equations will refer to your method."

"Excellent."

Zhang Shuo responded politely and continued listening to the report.

Li Jianfeng talked about the parameter analysis method, and then talked about the transformation and application of the method.

Parameter analysis is to simulate human brain thinking to bring in numerical values.

This part of the research results published by Zhang Shuo has a lot of room for improvement. The more scholars have studied partial differential equations, the more efficient and accurate they will be in parameter analysis. It is like writing a math problem. The higher the math level and the more experience, the faster the solution will be.

Li Jianfeng talked about the parameter analysis of the equation and the improvement of the part that simulates human brain calculations.

Zhang Shuo gained a lot from these contents. As he listened, the progress of the system tasks continued to increase.

[Task three, progress +0.501%. ]

[Task three, progress +0.233%. ]

[Task three, progress +0.45...]

After completing the explanation of the parameter analysis part, Li Jianfeng talked about the subsequent calculations and substitution of numerical values. The purpose of parameter analysis is to determine the "numerical value".

The calculated values ​​are placed in a set and will be calculated and analyzed one by one later.

This process is more complicated, but the purpose of the analysis is very clear, which is to find out 'which numerical value is more close to the solution interval when substituted into the calculation'.

Li Jianfeng's team did not complete this part of the research.

He only said halfway and stopped talking. "Next, our research will focus on analyzing numerical values."

“The ultimate goal is to prove that the interval of the approximate solution can be obtained after substituting numerical values.”

"If we can complete this part, we can simulate the NS equations that determine the boundary conditions, and the data will be more accurate..."

This was the end of his report.

After a short concluding speech, Jiang Weizheng in the audience led the applause, followed by Qiu Chengwen and other judges, as well as scholars who came to listen to the report later, all followed suit.

Zhang Shuo also applauded.

He sincerely felt that the research done by Li Jianfeng's team was very good. One report increased the progress of the NS equation numerical simulation task by nearly seven percentage points, and the overall progress was approaching '70%'.

This improvement is indeed huge.

However, Zhang Shuo is not optimistic about the research prospects of Li Jianfeng's team. He is very familiar with his own research methods.

The discretization of nonlinear equations and the subsequent substitution into the calculation and analysis of the asymptotic solution are two processes that are in direct conflict.

The research of Li Jianfeng's team has gone astray, but what he did was just a work report. Going into a misunderstanding is not a mistake, and it may be possible to correct it in the future.

This research has been unanimously recognized by reviewers and scholars.

When Li Jianfeng walked off the stage, Qiu Chengwen stood up and shook hands with him. Other reviewers also came over one by one to shake hands with him, expressing their affirmation of the research.

Jiang Weizhi and Li Jianfeng were very familiar with each other, but he also stood up and shook hands with Li Jianfeng, and said with a smile, "When you were giving your report just now, you talked about Zhang Shuo's research. Maybe you didn't know? Zhang Shuo is in this lecture hall."

"If you have a chance, you can communicate with him..."

Before Jiang Weizhi finished speaking, Li Jianfeng suddenly walked onto the stage and asked, "Is Professor Zhang Shuo here?"

Just as Zhang Shuo stood up and prepared to leave, he heard his name being called on the stage.

He looked towards the stage.

Someone else shouted, "Professor Zhang Shuo, I'm calling you!"

Everyone in the conference room looked over at once, and for a moment all attention was focused on him.

Li Jianfeng also noticed Zhang Shuo, and he immediately said, "Hello, Professor Zhang Shuo!"

"Part of our research has borrowed your method. Can you comment on our research?"

He was not trying to make things difficult for Zhang Shuo, but he truly felt that Zhang Shuo was qualified to comment on his team's research.

Their subsequent general direction is to "substitute numerical values ​​to prove the asymptotic solution", which is largely based on Zhang Shuo's general algorithm ideas.

So when he learned that Zhang Shuo was also in the lecture hall, the first thing he thought of was to ask Zhang Shuo to make some comments.

This was something Jiang Weizi had not expected.

Jiang Weizhi specifically mentioned Zhang Shuo, actually he wanted Li Jianfeng to talk to Zhang Shuo privately about research issues.

Zhou Kaijun has always doubted Zhang Shuo's mathematical ability.

Li Jianfeng is a professional scholar in the field of partial differential equations. When he talked with Zhang Shuo about research problems, his mathematical level became clear.

Li Jianfeng asked Zhang Shuo to comment in public, which seemed to elevate Zhang Shuo's status, but also seemed a bit forced, after all, Zhang Shuo was still very young.

Everyone else also looked at Zhang Shuo.

If other young people were in this situation, they might be a little at a loss.

Zhang Shuo was stunned for a moment but he didn't feel embarrassed. With a peaceful smile on his face, he said calmly, "Professor Li, you did a great job in parameter analysis. It can be said that you have taken my research one step further. I also feel that I have gained a lot from listening to you."

When these words were spoken, everyone in the lecture hall felt it was absurd.

It was like a senior commenting on the research of a junior, but in fact, Li Jianfeng on the stage was a specially appointed expert of the Donggang Science Center.

Zhang Shuo...

The research he did was of great importance, but with his young face, it was impossible to regard him as a senior.

Zhang Shuo continued, "The discretization of the equations is also very good. It can be said that it has reached the pinnacle of the method."

"but……"

There was a change of tone in his voice. "I think you can change the direction of your subsequent research and stop proving the asymptotic solution problem of substituting numerical values ​​into calculations."

Li Jianfeng also felt something was wrong when he heard Zhang Shuo's tone. Before he could think, he heard Zhang Shuo's denial and subconsciously asked, "Why?"

Zhang Shuo said, "There is a conflict between discretizing the equation and substituting numerical methods to prove the asymptotic solution."

"You are conducting parameter analysis based on the discretized equations. No matter how you analyze and what numerical values ​​you get, you cannot return to the original equations to prove the asymptotic solution after substituting them in."

Zhang Shuo only said a few words, but the meeting place became quiet.

Many people started thinking about it.

Li Jianfeng also stood there in a daze, pondering this question carefully.

On the top of the table.

Qiu Chengwen frowned, turned around and said to Jiang Weizhi, "What you said seems to make sense. The discrete equation is no longer the original equation. If you substitute numerical values ​​later, it may not be possible to prove the asymptotic solution."

He wasn't sure either.

"probably."

Jiang Weizi responded perfunctorily. He didn't think about the math problem at all.

It can be seen from Zhang Shuo’s answer just now that his mathematical level is beyond doubt.

No more than ten people at the scene could understand what Li Jianfeng said. Even Qiu Chengwen did not find any problem with it. However, Zhang Shuo directly pointed out the problem.

"With this level, the future is limitless!"

Jiang Weizheng's mood was very complicated.

Zhang Shuo is Zhou Kaijun's student, and can also be said to be his "disciple's grandson".

Such a talented disciple not only failed to bring honor to himself, but became an embarrassment. Thinking about Zhou Kaijun's constant denial...

He really wanted to slap Zhou Kaijun a few times!

……

Li Jianfeng's report ends.

Zhang Shuo and Luo Yongjun walked out of the lecture hall together and headed towards the restaurant in the conference center.

Luo Yongjun sighed all the way, "When you stood up to comment on the report just now, you felt like Dean Tan or Academician Qiu."

"Anyway, it's very impressive!"

"If I didn't know you, I would have thought you were some math expert..." He walked and imitated Zhang Shuo's way of speaking, "You did a great job in parameter analysis, and you went a step further based on my research..."

He imitated and laughed.

"Isn't this just forcing things? There's nothing I can do about it. They suddenly mentioned me and asked me to comment on it." Zhang Shuo said, shaking his head.

"It can be seen that Li Jianfeng is a bit straightforward. In fact, if he tells me privately, I will also tell him that there is a problem with the direction."

"He called me out in public, so I just said whatever I wanted to say."

As the two were talking, a voice suddenly came from behind, "Lao Luo, what are you talking about!"

Sun Xingli caught up.

Luo Yongjun was frightened and immediately told Sun Xingli what happened just now, "Li Jianfeng asked Zhang Shuo to comment, Zhang Shuo..."

“That momentum…”

He said, shaking his head, "I don't have any!"

"of course."

Sun Xingli put his arm around Zhang Shuo's shoulders and said with a grin, "How powerful can you be!"

"Look at us. We are all going to be big names in mathematics soon."

Luo Yongjun rolled his eyes in anger, "You'd better prepare well and don't mess up when giving the report."

"I have confidence."

Sun Xingli smiled nonchalantly and patted Zhang Shuo on the back. "See? The confidence is all here!"

"I don't have much confidence in myself, but I have a lot of confidence in Zhang Shuo. If there is a problem with the report, he will take over."

"You...are so shameless!"

They chatted and laughed together as they ate in the restaurant, then went straight to Conference Room No. 1.

The opening ceremony of the conference is not over yet.

In the morning, we talked about the work and achievement summary of the meeting, and later we took some time to do a short report. Hall No. 1 was being set up for the award ceremony in the afternoon.

The award ceremony is a continuation of the opening ceremony.

Many people came to Conference Room No. 1 after lunch. Sun Xingli and Luo Yongjun found a seat near the front, while Zhang Shuo was arranged to sit in the first row.

There were already two people sitting next to him.

The person on the left recognized him immediately, "Zhang Shuo? Right?"

"Yes, you are?"

"Zhou Guangyuan is currently working as an assistant researcher at the Mathematics Center of Shuimu University."

Zhou Guangyuan introduced himself, and then said in high spirits, "I won the award with you. I don't know whether I should be honored or sad..."

"why?"

"Everyone is looking at you!"

"They all won awards, it's all the same." Zhang Shuo said indifferently.

"That's really different!"

The girl on the right started to speak, “We lined up to win the award, and no one cared, but your research is different.”

"This morning in Hall 7, you gave comments to Professor Li Jianfeng... That was amazing!"

She gave a thumbs-up vigorously, then extended her hand and said, "Wu Lining, an assistant professor at the University of Science and Technology."

"Hello."

Zhang Shuo shook hands with Wu Lining and explained, "That's because they used my method in their research."

“That’s pretty cool too!”

Wu Lining said, "Let alone commenting, I can't even understand what you are saying."

While a few people were talking, the award ceremony had officially begun.

Although it was called an award ceremony, it was actually not that grand. The award presenters, specially invited scholars, and scholars from the Mathematical Society sat in a whole row on the podium.

After the on-site host announces the awards, the winners go on stage to receive their awards and then take photos with the award presenters.

The first award announced was the most prestigious Hua Luogeng Mathematics Award.

This award is like a lifetime achievement award and is a recognition of the winner's outstanding contributions in the field of mathematics. The winners are generally between 50 and 70 years old.

The second award announced was the Chern Mathematics Award.

The Chern Mathematics Award, in contrast to the Hua Luogeng Mathematics Award, is awarded to young and middle-aged mathematicians, and the winners are generally under 50 years old.

When presenting the award, Wu Lining whispered to Zhang Shuo, "It's said that this award is for mathematicians under 50 years old, but every time the winner is in their 40s, it seems like the award is given based on age."

"If we really evaluate research results, your general algorithm is good enough to win this award."

"correct."

Zhou Guangyuan followed up, "In our Shuimu Mathematics Center, many people gave a thumbs up to your research on general algorithms."

"Academician Qiu even held a special meeting to study it and said it was very valuable in application."

“It’s a different field.”

Zhang Shuo shook his head and said, "Algebraic geometry, number theory and other fields have almost no application orientation, but their role in promoting mathematics is not small. It is difficult to judge the superiority of different fields."

As they were talking, several large portraits of people appeared on the screen.

The last award was the Zhong Jiaqing Mathematics Award.

The host announced the list of winners of the Zhong Jiaqing Mathematics Award. The first name called was Zhang Shuo. "The winner of this year's Zhong Jiaqing Mathematics Award is Zhang Shuo, from Soochow University."

"His two papers, "Transformation Method of Second-Order PDE and Proof of Asymptotic Solution by Parameter Analysis" and "General Algorithm for Second-Order Elliptic PDE Equations", opened a new door for the computation of second-order partial differential equations."

"In the field of partial differential equation calculations, we have always been pursuing more accurate numerical calculations, and more precise and faster calculations are the main direction."

"Zhang Shuo's research is extremely valuable and provides feasible methods and solutions for the automatic calculation of other types of partial differential equations..."

The host of the meeting gave a lot of information about Zhang Shuo's research.

Zhang Shuo also walked onto the stage during the introduction.

After waiting for a while, other winners were introduced one by one, but the length of their introductions was much shorter than that of Zhang Shuo.

The award ceremony begins.

The award presenter was Xu Jin, a senior academician of the Academy of Sciences. He handed the certificate to Zhang Shuo, then looked around and said with a smile, "This is an award for young people."

"You are the youngest among the four winners. You have a promising future!"

"Thank you."

Zhang Shuo took the certificate, showed the front to the audience, took a photo with Xu Jin, and then returned to his seat with the other three winners.

This is the end of the award ceremony.

The president of the Mathematical Society gave a summary speech, and then declared the ceremony over. The scholars could then give their reports in each hall.

When leaving, Wu Lining asked Zhang Shuo, "You are also giving a presentation in Hall 7, right? Let's go together."

"No."

Zhang Shuo shook his head and said, "It's in Hall 4."

"Hall No. 4? Isn't that number theory?" Wu Lining was stunned.

"I changed the time because I have to give a report on number theory." Zhang Shuo said, and then added, "My report should be around five o'clock."

"so late?"

Wu Lining muttered in confusion and followed him out. She was going to give a report in Hall No. 7.

Many people went to Hall No. 7, including Zhou Kaijun, Li Jianfeng and others.

It is normal for Li Jianfeng to come to Hall No. 7.

Zhang Shuo was going to give a report on the methodology of "general algorithm", so I could learn from their research. In addition, Zhang Shuo commented that there were problems with their direction, so I naturally wanted to come and listen to deepen my understanding.

Zhou Kaijun came specifically to check out Zhang Shuo's math level.

He just couldn't believe what he heard. Didn't he know the students he was teaching well?

After arriving at Hall 7, they listened to two reports in succession and then felt something was wrong.

Wu Lining was the first to give a report. Normally speaking, as both are winners of the Zhong Jiaqing Mathematics Award, Zhang Shuo's report should be next to Wu Lining's.

"Where's Zhang Shuo?"

Zhou Kaijun was embarrassed to ask about Zhang Shuo, so he asked Li Jianfeng to help ask.

Li Jianfeng was also very curious, so he went over to ask and found out that Zhang Shuo was going to give a report in Hall No. 4, and the time was scheduled very late.

Room 4? Number theory?

at the same time.

Sun Xingli had already walked onto the podium. He stood there with excitement on his face, and couldn't wait to announce loudly, "I want to announce a big news!"

"Professor Zhang Shuo and I worked together to prove the Jebov conjecture..."

The words fell.

The somewhat messy meeting place suddenly became quiet.

(End of this chapter)