作者: brachial-plexus 時(shí)間: 2025-3-21 23:14
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作者: 烤架 時(shí)間: 2025-3-22 04:17
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作者: 漂白 時(shí)間: 2025-3-22 07:29 作者: 勤勉 時(shí)間: 2025-3-22 09:24
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作者: Heart-Attack 時(shí)間: 2025-3-22 16:15
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作者: Heart-Attack 時(shí)間: 2025-3-22 20:52
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作者: 獨(dú)特性 時(shí)間: 2025-3-22 23:21 作者: 絆住 時(shí)間: 2025-3-23 02:40
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作者: 死亡 時(shí)間: 2025-3-23 07:29 作者: 不吉祥的女人 時(shí)間: 2025-3-23 11:42 作者: OFF 時(shí)間: 2025-3-23 14:12 作者: 痛苦一生 時(shí)間: 2025-3-23 21:25
Rotational Motione rotational motion are important as well in astrophysics as in molecular physics. The orientation of a rigid body relative to the laboratory system can be described by a 3×3 matrix. Instead of solving nine equations for all its components, the rotation matrix can be parametrized by the four real co作者: 秘傳 時(shí)間: 2025-3-23 22:13 作者: cruise 時(shí)間: 2025-3-24 03:24 作者: 高歌 時(shí)間: 2025-3-24 10:21
Random Walk and Brownian Motionistribution. This can be checked in a computer experiment. A 3-dimensional random walk provides a simple statistical model for the configuration of a biopolymer (freely jointed chain). We generate random structures and calculate the gyration tensor, an experimentally observable quantity, which gives作者: eczema 時(shí)間: 2025-3-24 12:57 作者: immunity 時(shí)間: 2025-3-24 17:19
1868-4513 iled explanations without mathematical proofs.Covers many ba.This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics.?.The fir作者: 惰性氣體 時(shí)間: 2025-3-24 22:13 作者: Daily-Value 時(shí)間: 2025-3-25 02:50 作者: addict 時(shí)間: 2025-3-25 04:23
Dielectric constant of dideuterium oxide, Fourier transformation methods. For real valued even functions the computationally simpler discrete cosine transformation can be applied. Several computer experiments demonstrate the principles of trigonometric interpolation and nonlinear filtering.作者: 蒙太奇 時(shí)間: 2025-3-25 08:51 作者: 黃油沒(méi)有 時(shí)間: 2025-3-25 15:16 作者: 嚴(yán)重傷害 時(shí)間: 2025-3-25 17:57 作者: COMMA 時(shí)間: 2025-3-25 20:42
https://doi.org/10.1007/978-3-662-45603-3 is applied to a one- or two-dimensional system of interacting spins (Ising model). The thermodynamic average is taken over a set of random configurations. The average magnetization in a magnetic field and the phase transition to the ferromagnetic state are compared with analytical expressions.作者: DAFT 時(shí)間: 2025-3-26 03:31
https://doi.org/10.1007/978-3-662-45603-3sson and Poisson-Boltzmann equations, alternatively the method of boundary elements can be applied, which can reduce the computer time, for instance for solvation models. A computer experiment simulates a point charge within a spherical cavity and calculates the solvation energy with the boundary element method.作者: 使成整體 時(shí)間: 2025-3-26 06:06 作者: BACLE 時(shí)間: 2025-3-26 09:33
Eigenvalue Problemsich can be diagonalized efficiently with the . algorithm. Certain tridiagonal matrices can be diagonalized analytically. Special algorithms are available for matrices of very large dimension, for instance the famous Lanczos method.作者: FER 時(shí)間: 2025-3-26 12:57
Thermodynamic Systems is applied to a one- or two-dimensional system of interacting spins (Ising model). The thermodynamic average is taken over a set of random configurations. The average magnetization in a magnetic field and the phase transition to the ferromagnetic state are compared with analytical expressions.作者: gratify 時(shí)間: 2025-3-26 17:25 作者: anus928 時(shí)間: 2025-3-26 22:01
Fourier Transformation Fourier transformation methods. For real valued even functions the computationally simpler discrete cosine transformation can be applied. Several computer experiments demonstrate the principles of trigonometric interpolation and nonlinear filtering.作者: flex336 時(shí)間: 2025-3-27 02:30
Dielectric constant of carbon disulfide, be truncated and iterations accumulate the errors of the individual steps. In addition, the precision of input data from an experiment is limited. In this chapter we study the influence of numerical errors on the uncertainties of the calculated results and the stability of simple algorithms.作者: COW 時(shí)間: 2025-3-27 05:39
Dielectric constant of dideuterium oxide,d require iterative methods. Convergence of Jacobi and Gauss-Seidel methods is slow and can be improved by relaxation or over-relaxation. An alternative for large systems is the method of conjugate gradients.作者: 有斑點(diǎn) 時(shí)間: 2025-3-27 12:01 作者: BRIEF 時(shí)間: 2025-3-27 13:43 作者: 頭盔 時(shí)間: 2025-3-27 17:51 作者: 耕種 時(shí)間: 2025-3-27 23:58
Error Analysis be truncated and iterations accumulate the errors of the individual steps. In addition, the precision of input data from an experiment is limited. In this chapter we study the influence of numerical errors on the uncertainties of the calculated results and the stability of simple algorithms.作者: Acclaim 時(shí)間: 2025-3-28 04:24 作者: insolence 時(shí)間: 2025-3-28 10:13 作者: synovial-joint 時(shí)間: 2025-3-28 11:12 作者: adduction 時(shí)間: 2025-3-28 17:30 作者: 微不足道 時(shí)間: 2025-3-28 19:24 作者: Jogging 時(shí)間: 2025-3-29 02:19
Graduate Texts in Physicshttp://image.papertrans.cn/c/image/232893.jpg作者: judicial 時(shí)間: 2025-3-29 03:52 作者: 敲詐 時(shí)間: 2025-3-29 10:49 作者: 無(wú)法解釋 時(shí)間: 2025-3-29 11:53
Dielectric constant of carbon disulfide,is 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作者: Hyperplasia 時(shí)間: 2025-3-29 15:57 作者: 希望 時(shí)間: 2025-3-29 22:48 作者: TAP 時(shí)間: 2025-3-30 01:03
Dielectric constant of carbon dioxide,r 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作者: 羞辱 時(shí)間: 2025-3-30 07:04 作者: florid 時(shí)間: 2025-3-30 11:15
Dielectric constant of nitrous oxide,of thermodynamic averages Monte Carlo methods are very useful which sample the integration volume at randomly chosen points. After summarizing some basic statistics, we discuss algorithms for the generation of pseudo-random numbers with given probability distribution which are essential for all Mont作者: 大吃大喝 時(shí)間: 2025-3-30 12:32
Dielectric constant of carbon dioxide,armonic 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作者: 關(guān)節(jié)炎 時(shí)間: 2025-3-30 16:31
https://doi.org/10.1007/978-3-540-75506-7scribe a functional relationship between two or more variables by a smooth curve, i.e. to fit a certain model to the data. If uncertainties of the data are negligibly small, an exact fit is possible, for instance with polynomials, spline functions or trigonometric functions. If the uncertainties are作者: 高度表 時(shí)間: 2025-3-31 00:04
Dielectric constant of carbon dioxide,s this method works best on a regular grid. Finite volume methods, which are very popular in computational fluid dynamics, take averages over small control volumes and can be easily used with irregular grids. Finite elements and finite volumes belong to the general class of finite element methods wh作者: 污穢 時(shí)間: 2025-3-31 04:13
https://doi.org/10.1007/978-3-662-45603-3r. The much more accurate symmetric difference quotient can be used as the corrector step in combination with an explicit Euler predictor step and is often used for the time integration of partial differential equations. Methods with higher error order can be obtained from a Taylor series expansion,作者: 北極熊 時(shí)間: 2025-3-31 06:30 作者: 領(lǐng)袖氣質(zhì) 時(shí)間: 2025-3-31 10:26 作者: AWE 時(shí)間: 2025-3-31 14:23 作者: vasospasm 時(shí)間: 2025-3-31 18:20
https://doi.org/10.1007/978-3-662-45603-3istribution. This can be checked in a computer experiment. A 3-dimensional random walk provides a simple statistical model for the configuration of a biopolymer (freely jointed chain). We generate random structures and calculate the gyration tensor, an experimentally observable quantity, which gives
