“numerical analysis”的概念、定义、翻译、参考文献-科学参考

numerical analysis

Physics

The analysis of problems by means of calculations involving numbers rather than analytical formulae. Numerical analysis is used extensively for problems too complicated to be solved analytically (either exactly or approximately). Numerical analysis can be performed using either electronic calculators or computers. The use of numerical analysis has increased as the power of computers has increased.

Mathematics

The solutions to many mathematical problems cannot be described exactly in full generality. Instead, a numerical method may be employed; that is, a solution—or an approximation to one—is obtained instead. The study of relevant theory and methods is called numerical analysis.

The advent of very powerful computers means that such computational methods are increasingly important in modelling complex systems. For example, the design of aircraft and high-performance cars can now be extensively tested by simulations prior to physically building and testing models.

Statistics

The branch of mathematics concerned with obtaining numerical answers by approximations, rather than by analytic solution. An example is provided by the use of Simpson's rule for the evaluation of an integral.

Computer

A branch of mathematics/computer science dealing with the study of algorithms for the numerical solution of problems formulated and studied in other branches of mathematics. Numerical analysis now plays a central role in engineering and in the quantitative parts of pure and applied science. The tasks of numerical analysis include the development of fast and reliable numerical methods together with the provision of a suitable error analysis. The algorithms are developed as computer programs, taking full account of machine architectures such as parallelism.

单词	numerical analysis
释义	numerical analysis Physics The analysis of problems by means of calculations involving numbers rather than analytical formulae. Numerical analysis is used extensively for problems too complicated to be solved analytically (either exactly or approximately). Numerical analysis can be performed using either electronic calculators or computers. The use of numerical analysis has increased as the power of computers has increased. Mathematics The solutions to many mathematical problems cannot be described exactly in full generality. Instead, a numerical method may be employed; that is, a solution—or an approximation to one—is obtained instead. The study of relevant theory and methods is called numerical analysis. The advent of very powerful computers means that such computational methods are increasingly important in modelling complex systems. For example, the design of aircraft and high-performance cars can now be extensively tested by simulations prior to physically building and testing models. Statistics The branch of mathematics concerned with obtaining numerical answers by approximations, rather than by analytic solution. An example is provided by the use of Simpson's rule for the evaluation of an integral. Computer A branch of mathematics/computer science dealing with the study of algorithms for the numerical solution of problems formulated and studied in other branches of mathematics. Numerical analysis now plays a central role in engineering and in the quantitative parts of pure and applied science. The tasks of numerical analysis include the development of fast and reliable numerical methods together with the provision of a suitable error analysis. The algorithms are developed as computer programs, taking full account of machine architectures such as parallelism.
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