What is a mathematical modeling program, what is mathematical modeling, and how to model it

If you have ready-made data like graphing and analyzing, then use, if you want to do a lot of recalculating a problem, i.e. programming, then use MATLAB, if you have some integrations or annoying math calculations that you can't calculate, then use Mathematica, which is equivalent to a high-level calculator, if you want to do linear programming problems, then use Lingo or Lindo. You need to know what kind of problem you want to solve, and then look for the right tools, not just the software you already know.

Mathematical modeling is to establish a mathematical model according to the actual problem, solve the mathematical model, and then solve the practical problem according to the results. When it is necessary to analyze and study a practical problem from a quantitative point of view, people should use mathematical symbols and language to establish a mathematical model on the basis of in-depth investigation and research, understanding the object information, making simplified hypotheses, and analyzing the internal laws.

Understand the actual background of the problem, clarify its practical significance, and grasp various information about the object. Mathematical ideas are used to contain the essence of the problem, and mathematical ideas run through the whole process of the problem, and then the problem is described in mathematical language. It is required to conform to mathematical theories, conform to mathematical habits, and be clear and accurate.

Based on the characteristics of the actual object and the modeling and dispersion purposes, the problem is simplified as necessary, and some appropriate assumptions are made in precise language.

On the basis of assumptions, appropriate mathematical tools are used to delineate the mathematical relationships between the constants of each variable and establish the corresponding mathematical structures (try to use simple mathematical tools as much as possible). Using the data obtained, Qingfian calculates (or approximates the calculation) of all parameters of the model.

The idea of the model to be established is elaborated, and the results obtained are mathematically analyzed. The accuracy, reasonableness, and applicability of the model are verified by comparing the results of the model analysis with the actual situation. If the model is in good agreement with reality, the actual meaning of the calculation results should be given and explained.

If the model does not match well with reality, you should revise your assumptions and repeat the modeling process again.

Mathematical modeling is to build a mathematical model based on a practical problem, solve the mathematical model, and then solve the practical problem according to the results. The mathematical model is a kind of simulation, which is an abstract and concise description of the essential attributes of the actual subject by using mathematical symbols, mathematical formulas, subroutines, graphics, etc.

Features of mathematical modeling.

Construction of creative and empirical models: given an implementation scenario, learning to identify problems, making hypotheses and collecting data, proposing models, testing hypotheses, refining the model if necessary, seeing if the model and data are consistent when the situation is appropriate, and analyzing the basic mathematical structure of the model to evaluate the sensitivity to conclusions when the assumptions are not fully satisfied.

Model AnalysisGiven a model, learn to analyze reverse reasoning to reveal underlying assumptions that are not necessarily explicitly represented, critically assess the degree to which those assumptions fit into the scenario at hand, and estimate the sensitivity to conclusions when the assumptions are not fully and accurately satisfied.