Research starts with PhD students

Chapter 28 This research will make many people unemployed!

"When the transformation method is used, the equation will look more complicated, but when numerical values ​​are substituted and analyzed by computer, the range of the solution can be approximated, which means an asymptotic solution is proved."

"Using parameter analysis combined with fuzzy computing principles, we can substitute numerical values ​​and then do calculations to find the boundary value."

"Continuously looping calculations, the range of solutions is gradually narrowed down until the judgment value reaches 0 or becomes negative..."

"Finally, we get the range of the solution."

"This calculation method cannot find the exact solution, but most partial differential equations do not have exact solutions, so it is sufficient to find the range of the solution."

"The accuracy of the results is still not as good as that of the human brain, but the calculation can be completed quickly and can be used as a highly efficient auxiliary calculation method..."

Zhang Shuo examined the research carefully, his heart filled with joy and excitement.

The experimental simulation deviation analysis completed at the particle collision experiment base is just to use the knowledge in the brain.

From the beginning to the completion of the research, there was no difficulty at all.

This is the first research I have done since traveling through time, and it is a difficult result in the field of computational mathematics.

Open the system interface——

【Task 1】

[Research project name: General algorithm for solving second-order elliptic partial differential equations (Difficulty assessment: C). ]

【Progress: 100%.】

[The task has been completed and can be submitted! ]

"submit!"

Zhang Shuo chose to submit without hesitation, and was rewarded with 20 scientific research coins corresponding to the C-level difficulty task.

【Scientific research currency: 45. 】

"Scientific research currency has already reached a certain scale!"

"Next time I do C-level research, I can complete half of it directly using research coins."

"...??"

Zhang Shuo thought about it and slapped his forehead quickly. How could he want '氪币' after having research coins?

This idea must not be entertained!

……

Research completed, feeling relieved!
Zhang Shuo walked out of the library with the documents and wandered around the campus. The main campus of Soochow University is very large and it takes a long time to walk around the school.

There are still many places in this campus that he has not been to. He just walks around and takes a look around to familiarize himself with the environment.

Walking back to the main road from the tree-lined path, I saw two familiar figures in the distance.

Zhang Shuo immediately recognized them as Zhou Jianbin and Guo Jun from the Institute of Science and Engineering. They had met once in the computer room where they were working on a project.

Zhou Jianbin and Guo Jun also noticed Zhang Shuo.

Guo Jun smiled and waved at Zhang Shuo, while Zhou Jianbin snorted coldly and left quickly.

Zhang Shuo felt a little puzzled.

He thought about it and called Luo Yongjun.

Luo Yongjun was busy with something and said on the phone, "I'll be back to the computer room in a while, wait for me there."

"Computer room? Isn't the project finished?"

"What does it have to do with the completion of the project? Our project funding period is one year!" Luo Yongjun's voice was powerful and sonorous.

Zhang Shuo went to the laboratory building and found that the computer room on the fourth floor was still open.

There was only one person in the room, Sun Xingli.

Sun Xingli was still in the corner of the last row, still playing his online game. It seemed that because there was only one person there, he was playing happily and devotedly.

It was not until he heard the voice of "Professor Sun" that he took off his headset, turned around, and asked, "Zhang Shuo? When did you come?"

After saying that, he added depressedly, "Don't call me Professor Sun, just call me Brother Sun. If you call me that, I feel so old..."

"Okay, Brother Sun."

Zhang Shuo asked nonchalantly, "Why are you still here? I thought the computer room was out of service."

"Of course it can be used. Your mentor is Luo Yongjun!"

Sun Xingli laughed and explained, "Professor Luo is amazing. You haven't been here these few days and missed two wonderful performances."

"The day before yesterday, Zhou Jianxin from the administration came to take back the computer room, but Professor Luo argued with him, saying that the project funding period was one year and the computer room should only be used for one year because the school collected management fees for the project."

"Zhou Jianxin couldn't win the argument with Professor Luo, and finally left in anger."

He added his own point, "In fact, the management fee is already very low. I heard from the side that your project management fee is only 5%, and it is usually more than 10%."

Zhang Shuo understood and said with a smile, "Teacher Luo is really amazing!"

Sun Xingli continued, "You came a little late. There was another big drama just now. Zhou Jianbin from the Institute of Science and Engineering came here and wanted to terminate the contract with Professor Luo."

"Professor Luo said he really wanted to join the Institute of Computational Engineering and insisted on not terminating the contract. The dispute lasted for more than an hour, and finally Zhou Jianbin offered 12,000 yuan in compensation to settle the matter."

Sun Xingli shook his head and said, "I think it's really good. They didn't even take back the signing fee, and Professor Luo still thinks the compensation is too low."

"No wonder Zhou Jianbin looked unhappy when he saw me." Zhang Shuo suddenly realized.

No one would be in a good mood if they were cheated out of more than 30,000 yuan.

He is Luo Yongjun's student and the project is also his. It would be strange if Zhou Jianbin had a good face when seeing him.

After Sun Xingli finished speaking, he continued playing the game.

Zhang Shuo was sitting next to him, looking up information from academic journals on mathematics and computer science. He was already preparing to write a paper and submit it.

Not long after, Luo Yongjun returned to the computer room.

Gao Xiaohong followed behind him.

Luo Yongjun asked about the phone call, and Zhang Shuo replied, "Nothing, I already know."

Gao Xiaohong walked towards Zhang Shuo and complained, "I heard you were here so I came to see you."

"Your research is really good. You allowed me to stay at the experimental base for a few more days, and I ended up bringing back a chart."

Zhang Shuo looked up and asked, "You also looked at the comparison chart? Any progress?"

"no progress."

Gao Xiaohong shook her head. "The most obvious thing in that comparison picture is the area with few points. Everyone wants to find the reason. Academician Tan believes that it is caused by the obstruction of air molecules."

“That’s not certain.”

"Every experiment will have many strange findings, and ultimately nothing will work out."

After she finished speaking, she noticed the computer screen and immediately asked, "Are you preparing to submit an article?"

“The paper hasn’t been completely written yet, but we can find a journal to submit it to first,” Zhang Shuo replied.

Gao Xiaohong asked in surprise, "What research?"

"Are you done?"

"Don't even mention that super difficult algorithm!" Luo Yongjun and Sun Xingli spoke almost at the same time.

Zhang Shuo nodded, "Just finished it today."

"really?"

Luo Yongjun came over in surprise and said excitedly, "If it's that super difficult algorithm, do we still need to think about submitting it?"

“The four major mathematics journals!”

Sun Xingli also nodded and agreed, "You must submit to the four major mathematics journals. I recommend you to submit to Progress in Mathematics. The review speed is faster. The results in computational mathematics are also suitable for Progress in Mathematics."

Gao Xiaohong asked doubtfully, "What exactly is it?"

"A general algorithm for second-order elliptic partial differential equations!" Luo Yongjun spelled out the title in full. "That's a general algorithm! Second-order elliptic partial differential equations have a wide range of applications..."

“I feel like this achievement is worthy of an award!”

Luo Yongjun took a deep breath, unable to suppress the shock in his heart. He knew that Zhang Shuo was an algorithm genius and would definitely have a bright future in the field of mathematics and computer science. He didn't expect that he was so strong in computational mathematics.

Mathematical computer, with a focus on computers and algorithms;

Computational mathematics, partial mathematics.

The two are not the same concept.

Gao Xiaohong finally understood. He pondered it carefully and suddenly said, "If we can develop a general algorithm for second-order elliptic partial differential equations, can we also develop a general algorithm for second-order parabolic partial differential equations?"

"Or any other second-order partial differential equation with wide applications, right?"

"Yup!"

Sun Xingli also reacted. He threw the headset on the table and said, "If we can solve the algorithm problem of elliptic equations, we can definitely solve the algorithm problem of parabolic equations."

"General algorithms can be found for many widely used second-order equations!"

The three of them stared at Zhang Shuo.

Zhang Shuo frowned and thought carefully, then said, "To study the second-order parabolic equation, the parameter calculation and evaluation needs to be modified, the transformation method needs to be modified, and the asymptotic judgment method also needs to be modified..."

"But if you follow the algorithm for the elliptic equation, it seems that there is really no insurmountable difficulty."

"Makes sense!"

He nodded repeatedly as he thought about it.

Gao Xiaohong immediately said excitedly, "If it's really possible, then won't we have more achievements?"

“This way, we can complete a lot of research and publish a lot of papers in one go, right?”

“If I publish a few articles in the four major journals… I can’t imagine it!”

They discussed excitedly, as if they had already seen that Zhang Shuo had completed a lot of research and published several papers in the four major journals.

Luo Yongjun remained silent.

After a long while, he suddenly said with a sigh in his heart, "Zhang Shuo, you are my student, I will definitely be happy for your success!"

“But, when you do research, can you consider the feelings of us scholars in the field of PDE numerical methods?”

"Your research will make many people unemployed..."

(End of this chapter)