2. Data processing algorithms, such as data fitting, parameter estimation and interpolation.

3, linear programming, integer programming, multivariate programming, quadratic programming and other planning issues.

4. Graph theory algorithm.

5. Computer algorithms such as dynamic programming, backtracking, divide-and-conquer algorithm, branch and bound.

6. Three nonclassical algorithms of optimization theory.

7. Grid algorithm and exhaustive method.

8. Some continuous discretization methods.

9. Numerical analysis algorithm.

10, image processing algorithm.

When applying mathematics to solve various practical problems, it is a very crucial and difficult step to establish a mathematical model. The process of establishing teaching model is the process of simplifying and abstracting complex practical problems into reasonable mathematical structures.

Through investigation and data collection, observe and study the internal characteristics and laws of actual objects, grasp the main contradictions of problems, establish quantitative relations reflecting actual problems, and then analyze and solve problems by using mathematical theories and methods.

Extended data:

Mathematical modeling is a process that makes pure mathematicians (mathematicians who only study mathematics and don't care about the application of mathematics in practice) become physicists, biologists, economists and even psychologists. The actual phenomena here include both concrete natural phenomena, such as free fall, and abstract phenomena, such as customers' value tendency to a certain commodity. The description here includes not only the description of external form and internal mechanism, but also the prediction, experiment and explanation of actual phenomena.

Baidu Encyclopedia-Mathematical Modeling