What are the commonly used mathematical methods in computational physics?

Computational physics is a new frontier discipline. Using the advantages of large storage capacity and fast calculation speed of modern electronic computers, the complex multi-factor interaction process in physics, mechanics, astronomy and engineering is simulated by computers. Such as atomic bomb explosion, rocket launch and high-speed flight instead of wind tunnel simulation test.

Theoretical physics starts from a series of basic physical principles, lists mathematical equations, and then obtains analytical solutions by traditional mathematical analysis methods. The conclusions obtained from these analytical solutions are compared with the experimental observation results, so as to explain the known experimental phenomena and predict the future development.

With the rapid development of computer technology and the continuous improvement of calculation methods, computational physics plays an increasingly important and irreplaceable role in the further development of physics. Computational physics, together with theoretical physics and experimental physics, is increasingly called the three pillars of modern physics. It is hard to imagine a physics graduate of 2 1 century who does not have the basic knowledge and methods of computational physics.

It mainly includes numerical calculation methods commonly used in traditional physics topics (such as numerical solutions of partial differential equations in computer simulation methods, stochastic simulation methods-Monte Carlo method and deterministic simulation-molecular dynamics method and neural network method) and computer symbol processing.

What are the calculation methods of mathematical expectation?

What are the calculation methods of mathematical expectation?

answer

1, according to the definition, E(x)=∑p(x)*x (discrete case) ∫f(x)xdx (continuous case).

2. According to the formula, when you know the specific distribution of random variables, use the ready-made expectation formula directly.

Besides the calculation method of rounding, what other calculation methods are there in mathematics?

If you enter a method, everything greater than zero will move forward by one.

Trailing method, no matter how much is regarded as zero.

For example, 1. 1, one-step method is 2, and one-step method is 1.