"...So, the Helmholtz equation is bounded within a certain region, so in a waveguide, the solution of the equation can be expressed by a linear combination of discrete eigenmodes due to the limitations of boundary conditions."

"As for the compact differential format, it's even simpler. This is a high-precision finite difference method. For example..."

"However, the number of grid points involved in the difference format used to approximate the partial derivative at discrete point xi is at least 1 greater than the order of the truncation error of this difference format... Also, the display difference format has a serious numerical dispersion. The compact difference format is different from the above display difference format. It uses the weighted average of the function values ​​at several points near the grid point xi to approximate the weighted average of the function partial derivatives at several grid points near the xi point."

Cheng Nuo told the three of them in detail, and he was stunned by the three of them.

Finally, Cheng Nuo looked up at Wang Genji very humbly, and spoke with a sincere attitude of wanting to ask for advice. "Senior, these things are just my humble opinion. There must be many shortcomings. I hope the senior will give you advice."

Wang Genji: "..."

Give me some advice? Give me some yarn!

Wang Genji looked at Cheng Nuo with a speechless look at him. The wind was messy and he didn't know what to say.

The "Helmholtz equation" and the "fixed difference format" are the two most important keywords for their project.

In fact, before the topic was posted to them, Wang Genji, a senior in the School of Science and Technology, had only heard of these two rankings.

That was a real and slightly heard of, and only heard of the name. It was not a pretentious "slightly heard" like Cheng Nuo.

To be honest, Wang Genji even doubted that in the two people's concepts, the level represented by a slight hearing is completely different.

The whole lot of things that Cheng Nuo said can definitely not be summarized by the four words "slightly heard".

Cheng Nuo talked about it for more than ten minutes, but Wang Genji listened carefully throughout the whole process.

It can be said that what Cheng Nuo said was not a single mistake, but also very comprehensive. Even some things, Wang Genji, who has been studying this topic for more than a month, didn't understand them.

As for the advice...

Wang Genji looked at his other two comrades with a bitter face and asked for help.

Please help, brothers!

And the two of them didn't seem to feel Wang Genji's gaze.

Zhuang Poxiao: "Senior brother, let's go to the first floor of the canteen for lunch. I heard that there is a new window for self-selected, and it tastes pretty good."

Jiang Shuobo: "Well, this is good, let's go there together later."

Wang Genji: "Haha..."

What about the promised friendship?

"Senior Genji, are you okay?" Cheng Nuo asked with a constipated expression when Wang Genji looked. "Actually, there are a few bottles of kidney treasures in my dormitory. Why don't I bring you next time? Liuwei Dihuang Pills are also available."

"..." Wang Genji waved his hand, "I'm fine, let's continue."

Wang Genji turned around, carrying his hands on his back, looking mysterious, "As for these two terms, you are just the basics. I won't say anything about the advice. Because even if I say it, you may find it difficult to understand it in a short time. I never advocate cramming education."

"So, during the next period of time, you will follow the three of us and study this project. It is estimated that after the project is over, you will have a deeper understanding of the two nouns."

Cheng Nuo's standard cute new brother nodded well, "Okay, senior."

It was so dangerous that the senior's face was finally saved.

Wang Genji wiped the sweat from his forehead.

"Senior, what is my specific task?" Cheng Nuo asked, then added, "By the way, there is still the research progress of this topic?"

Wang Genji turned around, sat opposite Cheng Nuo, scratched his head, and spoke a little embarrassedly, "For more than a month, because the three of us are busy with other things, it shows that at present... we are just building the general framework of this project."

"As for the specific content filling, if calculated according to the progress, it is less than 5%.

Cheng Nuo rolled his eyes and expressed speechlessness.

Twenty-one progress!

The scientific research time of this project is only less than five months. More than a month has passed, but the progress of the project is currently only 5%.

It seems that in the future, it is almost impossible for everyone to go home and have a good New Year without having a good liver.

As the deputy leader of the research team, Jiang Shuobo coughed lightly and spoke slowly.

"Today we are together, and the period of our three busy work should have passed. And Cheng Nuo, you are a freshman now, and you have plenty of spare time."

"So now, I'll tell you the topic."

Such a complex project is naturally not something that can be done by one person from beginning to end. Division of labor and cooperation and mutual coordination are necessary at this time.

Jiang Shuobo turned his head and said to Cheng Nuo, "I just said that we have completed the general framework of this project."

"This project can actually be divided into five parts."

"The first part, and the most basic part, is to obtain a linear system of the two-dimensional helmholtz equation through the one-dimensional helmholtz equation combined with the compaction difference format. Cheng Nuo, this is the simplest part of the five parts, let you do it, no problem, right?"

Cheng Nuo nodded, "No problem."

"The second part is to correct the loss of the coefficient matrix, that is... this part is left to the foundation. You are best at this."

"Don't worry, leave it to me." Wang Genji patted his chest.

"The third part, calculate the cyclic preprocessor and convergence analysis."

"Part 4, use the preprocessing system to solve the algorithm."

"Part 5, test with numerical values."

"The three parts of three, four, and five can be combined into one piece, and I and Poxiao study together."

Zhuang Poxiao nodded and agreed.

"Time is tight and the task is heavy. I hope we can all work hard and strive to be the best! We will strive to publish the results of the project as soon as possible."

"come on!"

The four of them folded their palms together, cheering up.

"Senior, that, can I ask a more cheesy question?" Cheng Nuo said.

"speak."

"How much is the scientific research funding for our project?"

"Ten thousand. To be precise, it is 1071 to 80 cents."

Cheng Nuo: "..."

How come there are zero or even whole things?!

"No, we are a national-level project at least, so that's the small amount of funding?"

"It would be good if we could have funds. Our project is a pure math project, and we can solve mathematical problems using mathematical methods. There is no cost to those physical and chemistry projects. It would be good to give so many."

"By the way, I forgot. I'll take out a thousand yuan from the scientific research funds later. Cheng Nuo, you go to the bookstore with Genji in the afternoon and buy all the books on this list."

Jiang Shuobo waved his hand and looked rich and generous.

"When we do a project, we must look like we do it. It is not convenient to borrow books from the library all the time. Since we don't have money elsewhere, then go... buy books!"
Chapter completed!