nourish 发表于 2025-3-21 17:20:30

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AUGER 发表于 2025-3-21 20:48:23

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未完成 发表于 2025-3-22 00:46:58

Ordinary differential equations: boundary value problems,lue problem and the associated conditions are called .. The simplest type of boundary conditions are . for given numbers α and β. However, more general conditions such as . for given numbers λ., α. and ±. (. = 1,2) are sometimes imposed. Sufficient conditions for the existence and uniqueness of such problems may be found in Keller (1968).

高贵领导 发表于 2025-3-22 06:31:28

Eigenvalues and eigenvectors,cluding quadratic forms, differential systems and non-linear optimization, and can be used to solve problems from such diverse fields as economics, information theory, structural analysis, electronics and control theory.

夸张 发表于 2025-3-22 10:59:06

Methods of approximation theory,bed in this chapter are of considerable practical value, some are also studied for their theoretical importance. In particular, the material on polynomial interpolation will be used in subsequent chapters to derive numerical methods for differentiation, integration and the solution of ordinary differential equations.

贿赂 发表于 2025-3-22 14:22:44

Non-linear algebraic equations,generally decreases as the method proceeds, enabling the root to be calculated to any prescribed accuracy. Examples are the bisection and false position methods. One-point methods, on the other hand, generate a single sequence of numbers which converge to one of the roots. Examples are the fixed point, Newton and secant methods.

纵欲 发表于 2025-3-22 17:19:35

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技术 发表于 2025-3-22 23:19:53

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高深莫测 发表于 2025-3-23 04:59:38

Non-linear algebraic equations,ber α satisfying (3.1) is called a . of the equation or a . of .. If . for some given constants . and ., then . is said to be linear; otherwise it is said to be non-linear. Most equations arising in practice are non-linear and are rarely of a form which allows the roots to be determined exactly. Con

衍生 发表于 2025-3-23 09:03:48

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查看完整版本: Titlebook: Numerical Analysis; Ian Jacques,Colin Judd Book 1987 I. Jacques and C.J. Judd 1987 numerical analysis