mobility
发表于 2025-3-21 18:31:24
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brachial-plexus
发表于 2025-3-21 23:14:54
Interpolationicated function by a simpler one or to develop more sophisticated numerical methods for the calculation of numerical derivatives and integrals. In the following we concentrate on the most important interpolating functions which are polynomials, splines and rational functions. The interpolating polyn
烤架
发表于 2025-3-22 04:17:38
Numerical Differentiationis also very important for the discretization of differential equations. The simplest approximation uses a forward difference quotient and is not very accurate. A symmetric difference quotient improves the quality. Even higher precision is obtained with the extrapolation method. Approximations to hi
漂白
发表于 2025-3-22 07:29:18
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勤勉
发表于 2025-3-22 09:24:52
Systems of Inhomogeneous Linear Equationslinear problem or from discretization of differential equations. If the dimension of the system is not too large standard methods like Gaussian elimination or QR decomposition are sufficient. Systems with a tridiagonal matrix are important for cubic spline interpolation and numerical second derivati
Heart-Attack
发表于 2025-3-22 16:15:06
Roots and Extremal Pointsr inefficient root finding method. If a good starting point close to the root is available and the function is smooth enough, the Newton-Raphson method converges much faster. Special strategies are necessary to find roots of not so well behaved functions or higher order roots. The combination of bis
Heart-Attack
发表于 2025-3-22 20:52:02
Fourier Transformationtion of convolution integrals. An important numerical method is the discrete Fourier transformation which can be used for trigonometric interpolation and also as a numerical approximation to the continuous Fourier integral. It can be realized efficiently by Goertzel’s algorithm or the family of fast
独特性
发表于 2025-3-22 23:21:23
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绊住
发表于 2025-3-23 02:40:41
Eigenvalue Problemsarmonic motion of a molecule around its equilibrium structure. Most important are ordinary eigenvalue problems, which involve the solution of a homogeneous system of linear equations with a Hermitian (or symmetric, if real) matrix..Matrices of small dimension can be diagonalized directly by determin
死亡
发表于 2025-3-23 07:29:53
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