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[The system is evaluating the value of the optimal method for high-precision analysis of the Sobolev equation...]

[System evaluation has been completed, a total of 100 energy points are required]

"It's just a small problem, but it actually requires 100 points of energy?" Ning Chen complained.

After testing the system's energy exchange system, Ning Chen knew that this energy exchange store was definitely a profiteer.

Ning Chen didn't know if the system was set up like this to prevent him from over-relying on the system's exchange function and degrading his ability to think independently.

But at least Ning Chen got a valuable piece of information from the test just now.

If the issues that need to be exchanged are refined, the consumption of energy points can be greatly reduced.

"It seems that this energy exchange function is more likely to provide me with some inspiration."

Anyway, Ning Chen would not use this function lightly unless it was absolutely necessary. At least the early energy points would definitely be more appropriately spent on improving the mental index.

Just when Ning Chen was about to close the system interface, he suddenly noticed the excitement mode of his system backpack interface for 12 hours.

"I almost forgot about this thing. When Qiucheng's math competition with college students starts, do you want to try it in excitement mode?"

According to the system's introduction to the excitement mode, although using the excitement mode will not cause sequelae, some negative effects will still occur for a period of time after use.

Using excitement mode during exams is undoubtedly a matter of pros and cons.

"Or... let's try the excitement mode first?"

Since there are risks in using excitement mode, Ning Chen must first conduct a detailed risk assessment.

Ning Chen took a look at the class schedule and found that there was no class tomorrow morning, so he made a decisive decision.

"System, from now on, start the excitement mode for one hour!"

[The excitement mode has been turned on for the host, and it will automatically exit the excitement mode after one hour]

After receiving the prompt from the system, Ning Chen concentrated on feeling the changes in his brain.

At the beginning, Ning Chen didn't feel anything unusual.

But soon, Ning Chen felt that his brain was quickly becoming active, and his brain's operating speed, concentration, and energy were all at an extremely high level.

This feeling is even more powerful than the flow mode, just like drinking ten cans of Red Bull in a row.

"Is this the excitement mode? It's really a terrifying state!"

Ning Chen feels that the function of flow mode is to keep his brain in the best state, while the excitement mode is to allow the brain to break through the upper limit of its capabilities in the short term.

Not thinking too much, Ning Chen quickly returned his attention to the problem of Sobolev's equation.

Ning Chen wanted to give it a try and see if he could solve some problems that could not be solved by using his brain that exceeded the upper limit of his abilities.

With his brain in a highly active state, Ning Chen kept thinking about various possible ways to solve this problem, and wrote something on the scratch paper from time to time.

"First-order generalized difference separator..."

"R-T hybrid meta-method..."

"H1-Galerkin hybrid metamethod..."

Ning Chen exhausted all the knowledge he had mastered and kept trying to find a breakthrough to solve the problem.

Just after Ning Chen tried various possible combinations of methods, suddenly, Ning Chen really found a direction that he could try.

"Yes! Based on these methods, the Ritz-Volterra projection is used to provide error analysis, and the unit interpolation operator is used to analyze the two discrete modes of the mixed element... Maybe, we can really find a better Sobolev equation High-precision analysis method!”

After determining the idea, the remaining problem is to verify your idea through calculation.

Ning Chen quickly wrote the entire calculation process on the scratch paper, as if the speed was turned on 1.5 times, and the whole person was in a state of high excitement.

"Well...it's out!"

After a series of calculations and verifications, Ning Chen was surprised to find that his new idea was indeed correct.

Compared with any previous method, this new method has higher analysis accuracy. Under both discrete formats, the optimal convergence order and the highest precision results can be obtained.

At this time, Ning Chen received a prompt from the system.

[The one-hour use of the excitement mode has ended. Do you want to continue the excitement mode? 】

"No need."

Ning Chen was a little surprised at the speed at which time just passed. This mode even made Ning Chen feel that time flew by more than a simple flow state.

This one-hour experience of excitement mode made Ning Chen experience the power of excitement mode.

But at the same time, the disadvantages of using excitement mode are also very obvious.

Not long after exiting the excitement mode, Ning Chen felt that his brain and body were a little tired.

"No, in the current state, it is definitely impossible to continue the research."

Ning Chen felt that all his energy had been consumed by the excitement mode. Now he couldn't even concentrate, so he had to wash up and go to bed.

Ning Chen had an unusually sweet sleep this time. The intense fatigue made Ning Chen not even dream much, and she fell asleep until the next morning.

Even though Chen Tianpeng had woken up, Ning Chen hadn't woken up yet.

"Brother Chen...why did you sleep in so late today?"

Chen Tianpeng was very surprised by what he saw this morning, as if the sun was coming out of the west.

At this usual time, Ning Chen would have disappeared from the dormitory and gone to the library to study.

"Maybe I was too tired from studying last night. When I came back, I saw that Ning Chen had written several pieces of draft paper." Yuan Shuai said.

Ning Chen was so immersed in studying last night that he didn't even know when the former commander returned to his dormitory.

"Yes, Brother Chen has been preparing for the competition during this period, and the brain consumption must be much greater than ours. Hey, let Brother Chen rest for a while, there is no class this morning anyway."

It wasn't until around 9 o'clock that Ning Chen woke up.

Picking up the phone and checking the time, Ning Chen was surprised to find that he had slept for nearly ten hours.

"I slept for so long...the negative effects of the excitement mode really cannot be ignored."

At this time, Ning Chen was a little lucky. He tried out the excitement mode in advance last night and did not choose to try it out rashly during the exam.

Otherwise, after the excitement mode ends, it will affect the subsequent examination status, which will be more than worth the gain.

Ning Chen got up and washed up. At this time, there was no breakfast in the cafeteria, so Ning Chen had to go to the supermarket to buy some bread to satisfy his hunger.

"Fortunately, after adequate rest, my brain now has no problems and has completely returned to the state before using the excitement mode." Ning Chenxin said.