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What does numerical calculation mean in a computer?

2025-02-24 Update From: SLTechnology News&Howtos shulou NAV: SLTechnology News&Howtos > Internet Technology >

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This article mainly introduces what numerical calculation means in computers. The introduction in this article is very detailed and has certain reference value. Interested friends must read it!

Computers are used to solve mathematical problems in scientific research and engineering calculations, called "numerical calculations." Numerical calculation mainly studies how to use computers to solve various mathematical problems better, including discretization of continuous systems and solution of discrete equations, and considers errors, convergence and stability.

Computers are used to solve mathematical problems in scientific research and engineering calculations, called "numerical calculations."

Numerical computation refers to methods and processes that effectively use digital computers to approximate solutions to mathematical problems, as well as disciplines that consist of related theories. Numerical calculation mainly studies how to use computers to solve various mathematical problems, including discretization of continuous systems and solution of discrete equations, and consider errors, convergence and stability.

Research areas:

From mathematical types, the research fields of numerical operations include numerical approximation, numerical differentiation and numerical integration, numerical algebra, optimization methods, numerical solutions of ordinary differential equations, numerical solutions of integral equations, numerical solutions of partial differential equations, computational geometry, computational probability statistics, etc. With the wide application and development of computers, many problems in computational fields, such as computational physics, computational mechanics, computational chemistry, computational economics, etc., can be reduced to numerical calculation problems.

Important features:

1. The results of numerical calculation are discrete and there must be errors, which is the main characteristic of numerical calculation method and analytical method.

2. Pay attention to the stability of calculation. One of the core tasks of numerical methods is to control the increasing tendency of errors and ensure the stability of calculation process.

3. Pay attention to fast calculation speed and high calculation accuracy are important characteristics of numerical calculation.

4. Pay attention to constructive proof.

5. Numerical calculation mainly uses the idea of finite approximation to carry out error calculation.

The above is "What does numerical calculation mean in computers" all the contents of this article, thank you for reading! Hope to share the content to help everyone, more relevant knowledge, welcome to pay attention to the industry information channel!

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