numerical analysis handwritten notes pdf


What is numerical analysis?

    Introduction Numerical analysis is a branch of Mathematics that deals with devising e?cient methods for obtaining numerical solutions to di?cult Mathematical problems. Most of the Mathematical problems that arise in science and engineering are very hard and sometime impossible to solve exactly.

What are the three parts of numerical analysis?

    Numerical analysis include three parts. The ?rst part of the subject is about the development of a method to a problem. The second part deals with the analysis of the method, which includes the error analysis and the e?ciency analysis.

Why do scientists use numerical approximation?

    Due to the immense development in the computational technology, numerical approximation has become more popular and a modern tool for scientists and engineers. As a result many scienti?c softwares are developed (for instance, Matlab, Mathematica, Maple etc.) to handle more di?cult problems in an e?cient and easy way.

What is the main application of numerical differentiation?

    Trueenough, the main application of numerical di?erentiation is not to computederivatives, but to solve di?erential equations, both ordinary and partial. Now, we will not fuss much about selecting nodes; we usual use simple,equidistant spacing (no ’Gaussian’ di?erentiating).
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