Give three applications of methods (Linear Systems, Nonlinear Solvers, Linear Le

Question

Give three applications of methods (Linear Systems, Nonlinear Solvers, Linear Least Squares, Numerical Quadrature, Numerical Solution of ODEs ) we learn in Scientific Computing class. These applications may be in Finance, Engineering, Neuroscience and Science (Physic, Biology, Chemistry, etc). You have to obey the following rules in each applications:
Explain in detail of the method you apply in Finance, Engineering, Neuroscience or Science.
Give information about the application ( Why/Where/When this application is used)
Apply the method to the application

Explanation / Answer

Linear system: linear system is a mathematical modal of a system based on the use of a linear operator.

Application: finanace, equation that expresses the firm's part of total donation in term of the number of employees who donate.

Linear least square: is the problem of approximately solving an overdeterminded system of linear system.

Application: in engineering, estimation,statistics,error prediction etc...

ODE: an ordinary differential equation is a differential equation containing one or more funcations of one independent variable and its derivative.

Application: in engineering, rigid body dynamic analysis ( involve dynamic behavior under strong influence of gravitation. Example : rocket launch,the helicopter)

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