I hope I can help; In fact, the key point of marking is that as long as the paper gives the teacher a feeling; Because the answer standard of mathematical modeling award only means that as long as the paper has bright spots and the layout of the paper is stipulated, it should be no problem to win the prize. It depends on the strength of our school and the level of papers (a good school will win the national prize because it will allocate indicators and the papers will be written wrong). Let's look at the main points of question A in 20 1 1.

20 1 1 review points of problem a of the national mathematical modeling competition for college students in higher education club cup.

[Description] This point is for reference only. The marking groups in each division should independently mark papers according to their own understanding of the topic and students' answers.

The data of this problem comes from the field monitoring of soil environment in a city.

When reviewing, we should pay attention to the establishment of mathematical model, calculation method (or selected software program statements) and the reasons for choosing this method.

(1) The spatial distribution of the concentration of each heavy metal pollutant is obtained by interpolation and fitting, and then the pollution degree of each area of the city is quantitatively analyzed with reference to the threshold determined by the background value.

Because of the good regularity of spatial data, examples of scattered data interpolation such as Kriging interpolation and Sheppard interpolation are also used for interpolation fitting, so it is necessary to make clear the methods used and analyze them, and simply apply software.

The distance between the maximum concentration of each pollution element and the maximum interpolation concentration will be too far.

(2) To analyze the causes of pollution, there must be sufficient data analysis and clear conclusions.

According to the information of pollution concentration in each region, the cluster study on the correlation of pollutants shows that some pollutants co-occur (Cr and NiCd are highly correlated with Pb) and are closely related to the causes of pollutants, so the causes of pollution are roughly determined.

(3) Establish a corresponding model under the same assumption, with reasonable assumptions, establish a clear mathematical model, and conduct numerical calculation according to the model and the given data.

For example, assuming that the convection form of heavy metal diffusion on the soil surface due to rainfall is the main reason, the convection equation is established and the data of heavy metal pollutant concentration is given as the initial value (actually the final value), so that the problem can be solved by partial differential equation.

Interpolation fitting method similar to (1) terrain height function.

The characteristic line method is used to obtain the concentration data of heavy metal pollutants in each region at each time point, so as to obtain the pollution range at each time point and determine the location of pollution sources

(4) This question only shows that the amount of data information at the time point is obviously enough to supplement more information.

Students should be encouraged to consider sampling information at multiple time points to give a better evolutionary model.