Titlebook: Computational Physics; Simulation of Classi Philipp O.J. Scherer Textbook 20132nd edition Springer Nature Switzerland AG 2013 Error Analysi

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書目名稱Computational Physics影響因子(影響力)




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書目名稱Computational Physics網(wǎng)絡(luò)公開度學科排名




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書目名稱Computational Physics被引頻次學科排名




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brachial-plexus

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

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

勤勉

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

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

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

獨特性

絆住

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

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