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- W4386772904 abstract "This chapter focuses on the method for obtaining the solution of a mathematical problem in the form of numbers. It discusses the general principles underlying some of the more important numerical methods and treats the simplest ones in detail. The discussion emphasizes that nearly all numerical operations are necessarily accompanied by errors, and the analysis of these errors is an integral part of any numerical method. The chapter lays down the three ways by which errors in numerical computations arise: through mistakes (e.g., bug in a computer program, incorrectly calibrated apparatus), mathematical truncation errors, and rounding errors. It also tackles the solution of ordinary equations, describing the bisection method and Newton-Raphson method. Furthermore, it explains polynomial, linear, quadratic, and spline interpolations. The chapter also explains the Gauss elimination for the solution of linear equations, and the Gauss–Jordan elimination for the inverse of a matrix." @default.
- W4386772904 created "2023-09-16" @default.
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- W4386772904 date "2008-01-31" @default.
- W4386772904 modified "2023-09-27" @default.
- W4386772904 title "Numerical methods" @default.
- W4386772904 doi "https://doi.org/10.1093/hesc/9780199205356.003.0020" @default.
- W4386772904 hasPublicationYear "2008" @default.
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