2。 Data processing algorithms, such as data fitting, parameter estimation and interpolation. There are usually a lot of data to be processed in the competition, and the key to processing data lies in these algorithms, usually using MATLAB as a tool.
3. Programming algorithms, such as linear programming, integer programming, multivariate programming and quadratic programming. Most of the problems in modeling competition belong to optimization problems, and many times these problems can be described by mathematical programming algorithms, usually solved by Lindo and Lingo software.
4. The problems of graph theory can be solved by these methods and need careful preparation. Computer algorithms, such as dynamic programming, backtracking search, divide and conquer algorithm, branch and bound.
5. Computer boundary methods such as dynamic programming, backtracking search, divide-and-conquer algorithm, branch and bound. These algorithms are commonly used methods and will be used in many occasions in the competition.
6. Three non-classical algorithms of optimization theory: simulated annealing algorithm, neural network algorithm and genetic algorithm. These problems are used to solve some difficult optimization problems and are very helpful to some problems, but the algorithm is difficult to implement and needs to be used carefully.
7。 Grid algorithm and exhaustive method. Both of them are the best algorithms for brute force search, and they are applied in many competition questions. When emphasizing the model itself and ignoring the algorithm, this brute force scheme can be used, and it is best to use some high-level languages as programming tools.
8. Some discretization methods of continuous data, many problems are practical, the data can be continuous, and the computer can process discrete data, so it is a very important numerical analysis algorithm to discretize it and replace the differential with summation. If you use high-level language to program in the competition.
9. For example, solving equations, matrix operations, function integration and other algorithms need to write additional library functions to call.
10。 Image processing algorithm, there is a kind of graphics-related problems in the competition. Even if the problem has nothing to do with graphics, there will be important pictures in the paper to illustrate the problem. How to display and process these graphics is a problem that needs to be solved, which is usually handled by MATLAB.