Omnipotent Data

"...Therefore, the Helmholtz equation is bounded in a certain area, and in the waveguide, due to the limitation of the boundary conditions, the solution of the equation can be expressed by a linear combination of discrete eigenmodes."

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

"However, the number of grid points involved in the differential scheme used to approximate the partial derivative at the discrete point xi must be at least 1 greater than the order of the truncation error of the differential scheme... Also, it shows that the differential scheme has serious numerical dispersion The compact difference scheme is different from the above-mentioned display difference scheme, it uses the weighted average of the function values ​​at several points near the grid point xi to approximate the weighted average of the partial derivatives of the function at several grid points near the xi point."

Cheng Nuo narrated his views to the three of them like a treasure. The three people on the side were stunned when they heard it.

In the end, Cheng Nuo looked up at Wang Genji very humbly, sincerely wanting to ask for advice, "Senior, these things are just my humble opinion. There must be many shortcomings, and I hope the senior can enlighten me."

Wang Genji: "..."

Enlightenment? Teach me a wool ah enlighten me!

At this moment, Wang Genji looked at Cheng Nuo with speechless eyes, the wind was flustered, and he didn't know what to say.

"Helmholtz equation" and "compact difference scheme" are the two most important keywords of their project.

In fact, Wang Genji, a junior in the Digital Academy, had only heard about these two rankings before the subject was assigned to them.

That is the kind that has been heard a little bit and only heard the name. It's not that Cheng Nuo "has heard a little bit" about Cheng Nuo's pretense.

To be honest, Wang Genji even doubted it. In the concept of the two, the level represented by a little hearing is completely different.

The whole bunch of things that Cheng Nuo said just couldn't be summed up in the words "a little bit of hearing".

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

It can be said that what Cheng Nuo said was comprehensive without any mistakes. Wang Genji, who has been studying this topic for more than a month, doesn't even understand some things.

As for teaching...

Wang Genji had a bitter face, and looked at his other two colleagues as if asking for help.

Help ah, you guys!

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

Zhuang Poxiao: "Brother, let's go to the first floor of the cafeteria for lunch. I heard that there is a new optional window, and the taste is not bad."

Jiang Shuobo: "Well, this is not bad. We will go there together in a while."

Wang Genji: "Hehe..."

What about the good friendship?

"Senior Genji, are you okay?" Seeing Wang Genji's constipated expression, Cheng Nuo asked aloud. "Actually, I have several bottles of Shenbao in my dormitory. How about I bring them to you next time. There are also Liuwei Dihuang Pills."

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

Wang Genji turned around, with his hands behind his back, with an inscrutable look, "About these two nouns, what you know is only superficial. I'm afraid it will be difficult to understand in a short time. I have never advocated cramming education."

"So, for the next period of time, you should follow the three of us and delve into 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 newcomer nodded obediently, "Okay, senior."

It was so dangerous, the face of the senior was finally saved.

Wang Genji wiped the sweat from his forehead.

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

Wang Genji turned around, sat opposite Cheng Nuo, scratched his head, and said with some embarrassment, "For more than a month, because the three of us are busy with other things,

Shown so far... We just set up 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, expressing his speechlessness.

Twenty-one progress!

The scientific research time for 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 in the future, if everyone wants to go home and have a good New Year, it is almost impossible not to explode their livers.

Jiang Shuobo, as the deputy leader of the research group, coughed lightly and spoke slowly.

"The four of us got together today, and the time when the three of us were busy should have passed. And Cheng Nuo, you are a freshman now, so you have plenty of time after school."

"Then now, let me share the subject with everyone."

Such a complex project naturally cannot be done by one person from beginning to end. Division of labor, cooperation and mutual coordination are very necessary at this time.

Jiang Shuobo turned his head and said to Cheng Nuo, "Genji also said just now, we have already completed the general framework of this project."

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

"The first part, which is also the most basic part, is to combine the one-dimensional he1mho1tz equation with the compact difference scheme to obtain the linear system of the two-dimensional he1mho1tz equation. Cheng Nuo, this is the simplest part of the five parts, and I leave it to you ,is that OK?"

Cheng Nuo nodded, "No problem."

"The second part, the correction of the deficit of the coefficient matrix, that is... This part is left to you, Genji. You are the best at this."

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

"The third part, calculation loop preconditioner and convergence analysis."

"Part IV, solving the algorithm with a preprocessing system."

"Part Five, Experiment with Numerical Values."

"The three parts, three, four, five, can be combined into one, and I will study with Li Xiao."

Zhuang Poxiao nodded, agreeing.

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

"come on!"

The palms of the four people stacked together, cheering up.

"Senior, that, can I ask a rather vulgar question?" Cheng Nuo said.

"speak."

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

"Ten thousand. To be precise, it is ten thousand and seventy-one yuan and eight cents."

Cheng Nuo: "..."

How come there are still zeros and wholes? !

"Impossible, our project is a national project anyway, with only this little funding?"

"It would be nice to have funding. Our project is a pure mathematics project, using mathematical methods to solve mathematical problems. There are no such physical and chemical projects that burn money. It is not bad to be able to give so much."

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

Jiang Shuobo waved his hand, looking rich and powerful.

"When we are doing a project, we have to look like we are doing a project. It is not convenient to go to the library to borrow books all the time. Since you can't use the money elsewhere, then go... to buy books!"

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