Wang Hao is indeed very confident in solving the problem of approximate solution of equations.
This can be said to be his specialty.
In terms of understanding of partial differential equations, he dares to say that he is the best in the world. After completing the study of NS equations, he can be said to have passed the approximate calculation of complex partial differential equations in the direction of fluid mechanics.
If he couldn't complete the research, others certainly couldn't complete it.
There are many problems that others cannot complete at all, but they are very simple for him.
That's the problem now.
So Wang Hao was not in a hurry at all. He didn't even need to create a task specifically. He just glanced at the content and already knew the direction.
After hearing that Wang Hao was sure to complete the research, Zheng Guofeng and Zhao Xingli had great expectations for Wang Hao, and they couldn't wait to solve this problem.
The research and development of the orbit-changing injector is really important to them.
But Wang Hao was not in a hurry. After lunch, he went to the temporary dormitory to rest for a while. After waking up, he walked around the base.
The nearby environment is still very good. The blue sky, white clouds and beautiful mountain scenery make people feel relaxed and happy. When they are involved in it, they feel relaxed both physically and mentally.
The environment inside the base is also very good, and there are many military-related facilities that you can never see in ordinary places. Of course you should take a closer look if you have the chance.
Wang Hao spent an entire afternoon, and Zheng Guofeng was with him the whole time, but he always wanted to change the topic to algorithms with Wang Hao.
Wang Hao said, "Professor Zheng, don't worry, I have already told you that I will explain the algorithm to you tomorrow."
Although Wang Hao emphasized it many times in succession, Zheng Guofeng still had a grimace because the core algorithm was very important to them.
When Wang Hao talked about being able to solve the problem, he had great expectations and sincerely hoped that Wang Hao could do it.
Of course he believed that Wang Hao could solve the problem, but he didn't believe that Wang Hao could complete it in a short time. He said that he would provide a solution tomorrow morning, but Wang Hao didn't seem to be in a hurry at all.
Zheng Guofeng was very anxious. At the same time, he explained to Wang Hao the problem of the failed experiment, trying to save some face. "Actually, we have done several tests before, and there has never been such a serious deviation."
"Even now the reason for the deviation has not been found..."
In fact, he just wanted to remind Wang Hao from the side that there was still a lot of work needed.
Wang Hao remained unhurried and went to the base's large cafeteria for dinner.
After that, he went to the workshop with Zheng Guofeng and got the core code, mathematical analysis methods and architecture.
Many people gathered around Wang Hao to watch.
When he discovered that Wang Hao was really devoted to research, Zheng Guofeng hurriedly drove the others away and walked out himself, for fear of disturbing Wang Hao.
Wang Hao stayed in the workroom for two hours.
Afterwards, he walked out leisurely, checked the time, returned to the temporary dormitory, lay on the bed and fell asleep.
I am still very tired after this day.
the other side.
Zheng Guofeng went to the workroom to check and found that Wang Hao had left. Only after asking other people did he find out that Wang Hao had only worked for two hours before leaving and went back to the temporary dormitory to sleep.
"It's indeed a tiring day, Academician Wang, it's normal for him to take a rest..."
Although he said it was normal, Zheng Guofeng still felt very depressed.
He felt there was no hope.
How could such a difficult problem be solved in two hours?
Wang Hao must have gone to rest because he couldn't think of a solution.
"Tomorrow probably won't be possible." Zheng Guofeng shook his head depressedly, but he knew not to rush.
Since Wang Hao has promised to solve the problem, even if it cannot be completed at the experimental base, he can help solve it later.
"It's time..."
Zheng Guofeng sighed and shook his head. He wished he could solve the problem immediately.
It’s just that I can’t do it!
······
That night, Wang Hao had a good sleep, woke up, had breakfast, and then came to the workroom.
Zheng Guofeng seemed to have not slept a wink all night.
Wang Hao saw him as soon as he entered the workroom. After saying hello, he said with concern, "Professor Zheng, take care of yourself. Have you had breakfast?"
Zheng Guofeng shook his head.
He came here after waking up and was not in the mood to have breakfast.
Wang Hao also noticed Zheng Guofeng's state and knew that the other party was eager to solve the problem, so he simply said directly, "I have already thought about the problem you mentioned yesterday."
"ah?"
Zheng Guofeng was stunned upon hearing this.
Wang Hao said, "I looked at the information last night."
"Your idea is correct. There is no problem with the main direction, but there are two core mathematical deviations in the analysis."
He found the source code from the computer, matched it with the mathematical materials in his hand, and pointed out the two problematic parts.
"You have modified this part of the content many times, but no matter how you modify it using this method, the deviation will be huge."
"And it is possible that the situation in yesterday's experiment may occur. Under certain special values, the data will have a huge deviation."
As he spoke, he drew a curve on the paper. The fluctuations on both sides of the curve were relatively large. "If the values ​​are on both sides, the missile trajectory will deviate greatly."
"This is mainly because, in the process of avoiding interception, the deviation of the missile has exceeded the normal data range, and the trajectory cannot be corrected in the future, which will cause chaos."
"So this part of the algorithm needs to be modified. I'm talking from a code point of view..."
When Wang Hao spoke seriously, many people gathered around him.
Among them were the core members of Zheng Guofeng's team. They came very early. Knowing that Wang Hao was explaining important content, they hurried over to listen.
Wang Hao continued, "We need to assign values ​​in sequence based on the analyzed data set."
"Start from this function..."
"This is a problem of underlying mathematical analysis. If you want to reduce the error, there needs to be a calculation and averaging process from here."
"Averaging is not just about numerical values, but the function is about the three main contents of the output..."
Wang Hao spoke very seriously.
When he found that more and more people were listening, he simply walked to the whiteboard next to him and began to explain mathematics seriously.
Because the explanation process involved some procedural issues, he simply put the computer screen on the screen and sat down to explain.
This lecture lasted more than two hours.
Once the two parts are fully explained, everything will become clear.
What Wang Hao said was not very profound, and he did not talk about the principles in detail. He just told them the solution, but some researchers who were good at mathematics still understood it.
They were all surprised. After the explanation, they were still discussing, "Why didn't I think of doing analysis and calculations like this?"
"Using this method is straightforward and clear, and the approximate solution is definitely closer to the actual solution."
"I seemed to have thought of it before, but how could I dare to question the direction set by Professor Zheng..."
"Don't brag and think about it later. "Haha~~"
「······」
Wang Hao explained the two problems very clearly, and everyone knew where the problem was and how to solve it.
Then they all felt as if it was easy.
But if you think about it carefully and deeply, you will realize that some of the ideas are too simple. The key is to be able to think of some problems, and there are some ideas for algorithm modification that they have never thought of at all.
This reflects Wang Hao’s understanding of mathematics related to partial differential equations.
In-depth understanding of the field and top international professional capabilities.
Everyone in the workshop was also very surprised when talking about what Wang Hao explained.
This problem has been bothering them, but Wang Hao solved it in two hours.
To be continued...