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Linear Systems of Equations,ge linear systems. Thus, the development of efficient algorithms to solve such systems is of central importance in numerical analysis. We differentiate between two types of methods. . solve the problem in a finite number of steps, and so are not subject to method error, although, of course, the resudiscord 发表于 2025-3-22 01:06:31
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Interpolation,approximation, but the subject deserves a separate and detailed treatment. The results of the theory of interpolation are a basic part of the constructive theory of functions, and moreover, provide the basis for a wide variety of methods for numerical integration, numerical treatment of differentialaviator 发表于 2025-3-22 12:29:20
Splines,choenberg , although these kinds of functions had been used earlier by several other authors. For example, the Euler method for constructing a piecewise polynomial approximation to the solution of an initial-value problem for ordinary differential equations (and which is often used to establis象形文字 发表于 2025-3-22 15:57:10
Integration, the area of regions bounded by curved lines, has been around for thousands of years, long before the concept of integrals in the framework of analysis was developed in the 17th and 18th century. Certainly the best-known example of this problem was that of computing the area contained in a circle, w吞下 发表于 2025-3-22 17:28:28
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Undergraduate Texts in Mathematicshttp://image.papertrans.cn/n/image/669021.jpgamyloid 发表于 2025-3-23 06:50:10
https://doi.org/10.1007/978-1-4612-4442-4Algebra; Approximation; Splines; algorithms; boundary element method; calculus; complexity; eigenvalue; inte