“…… Therefore, the Helmholtz equation is bounded in a certain region, then in the waveguide, the solution of the equation can be expressed by a linear combination of discrete eigenmodes due to the limitation of boundary conditions

As for the compact difference scheme, it is simpler. It is a high-precision finite difference method. For example... "

However, the difference scheme used to approximate the partial derivative at the discrete point Xi involves at least one more mesh number than the truncation error of the scheme In addition, it shows that the difference scheme has serious numerical dispersion. The compact difference scheme is different from the one shown above. It approximates the weighted average of the partial derivatives of the function at several grid points near the grid point XI by using the weighted average of the function values at several points near the grid point Xi

Cheng Nuo, like a family treasure, tells the three people his opinions. Let one side of the three people listen to a Leng a Leng.

Finally, Cheng Nuo raised his head humbly to Wang Ji, with a sincere attitude to ask for advice, "schoolmaster, these things are just my humble opinions. Certainly, there are still many deficiencies, and I hope the senior students can give me some advice. "

Wang Ji: "it's just

Teaching? Give me a piece of wool!

Wang Ji looks at Cheng Nuo with speechless eyes at this time. He is in disorder in the wind and doesn't know what to say.

"Helmholtz equation" and "compact difference scheme" are the two most important key words in their project.

As a matter of fact, before the issue was handed out to them, Wang Ji, a junior in several academies, had only heard a little about these two places.

That's the real one. I've only heard the name. It's not Cheng Nuo's "a little bit of a hearing".

To tell you the truth, Wang even doubted. In the two people's ideas, a little hearing represents a completely different level.

Even if Cheng Nuo said that a lot of things, absolutely can not be summed up with "a little hearing".

Cheng Nuo is over there. After talking for more than ten minutes, Wang Ji has listened to him carefully.

It can be said that what Cheng Nuo said is not a bit wrong, but also comprehensive. Wang Ji, who has been studying this topic for more than a month, doesn't even know some things.

As for teaching

Wang Ji, with a bitter face, looked at his two other comrades with a cry for help.

Help, guys!

But two people, did not seem to feel Wang Ji's eyes the same.

Zhuang dawning: "elder martial brother, let's go to the first floor of the canteen for lunch. I heard that there is a new optional window, which tastes good."

Jiang Shuobo: "well, this is good. We'll go there together later."

Wang Ji: "ha ha..."

What about good friendship?

"Foundation student, are you ok?" Cheng Nuo sees Wang Ji that face constipation expression, voice asks a way. "In fact, there are several bottles of Shenbao in my dormitory. Or I'll bring it to you next time. Liuwei Dihuang pills are also available. "

“……” Wang Ji waved his hand, "I'm ok, we'll continue."

Wang Ji turned around, carrying his hands on his back, and looked enigmatic, "what you know about these two terms is only skin deep. I won't tell you anything. Because even if I said it, I'm afraid you can't understand it in a moment and a half. I have never advocated cramming education. "

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

Cheng Nuo's standard Mengxin student nodded, "OK, senior."

It's a close call. The face of the schoolmaster is finally saved.

Wang Ji wiped the sweat on his forehead.

"What is my specific task, senior student?" Cheng Nuo asked, and then added, "by the way, is there any research progress on this subject?"

Wang Ji turns around and sits opposite Cheng Nuo, scratching his head. He says, "for more than a month, because the three of us are busy with other things, it shows that at present We just put together the general framework of the project. "

"As for the specific content filling, if we calculate it according to the progress, it is not yet 5%。”

Cheng Nuo rolled his eyes and said he was speechless.

20 minutes to 1!

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

It seems that later time, people want to go home to have a good new year, it is almost impossible not to explode liver.

Jiang Shuobo, as the deputy leader of the research group, coughed gently and opened his mouth slowly.

"The four of us are together today, and the time when the three of us are busy should be over. And Cheng Nuo, you are a freshman now, and you have plenty of spare time. "

"Now, I'll give you a division of the subject."

Such a complex project, of course, is not a person from the beginning to the end of all down. Division of labor and cooperation, mutual coordination, at this time it seems very necessary.Jiang Shuobo turned to Cheng Nuo and said, "the foundation has been said just now. We have completed the general framework of this project."

"This project can be divided into five parts."

The first one is the worst part of Helmholtz's finite difference scheme. Cheng Nuo, this is the simplest part of the five parts. It's OK for you to do it? "

Cheng Nuo nodded, "no problem."

"The second part, the deficiency correction of coefficient matrix, that is This part is for you to do. You're the best at that. "

"Don't worry. Leave it to me." Wang Ji patted his chest.

In the third part, we calculate the cyclic preprocessor and analyze the convergence

"The fourth part, using preprocessing system to solve the algorithm."

"The fifth part, experiments with numerical values."

"Three, four, five, these three parts can be combined into one, and dawn and I will study together."

Zhuang Xiaoxiao nodded and agreed.

"Time is tight and the task is heavy. I hope we can all work hard and strive for the top! Strive to publish the research results as soon as possible. "

"Come on

The palms of the four people folded together and cheered on.

"Schoolmaster, can I ask a more vulgar question?" Cheng Nuo said.

"Yes."

"How much is the research fund for our project?"

"Ten thousand. To be exact, it's 1071.80 cents. "

Cheng Nuo:

How can there be zero and whole in this particular?!

"Can't it? At any rate, our project is also a national level project, so little funding?"

"It would be nice to have money. Our project is a pure mathematics project, and we use mathematical methods to solve mathematical problems. There are no physical and chemical projects that cost money. It's good to give so much. "

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

Jiang Shuobo waves his hand and looks like he is rich and bold.

"When we do a project, we should have the appearance of doing a project. It's not convenient to go to the library all the time. Since you can't use money anywhere else, go to Buy books

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