作者: 審問 時(shí)間: 2025-3-21 23:18
https://doi.org/10.1007/978-3-7908-1954-0 the sampling frequency of audio or video signals, interpolation methods are necessary. But interpolation is also helpful to develop more sophisticated numerical methods for the calculation of numerical derivatives or integrals. Polynomial interpolation is discussed in large detail together with its作者: Countermand 時(shí)間: 2025-3-22 03:01 作者: Cantankerous 時(shí)間: 2025-3-22 05:40 作者: gastritis 時(shí)間: 2025-3-22 11:40
https://doi.org/10.1007/978-3-7908-1954-0on with pivoting are sufficient which decompose the coefficient matrix into a product of a lower and an upper triangular matrix. An alternative method is QR decomposition which is numerically more stable in certain cases. Both these methods are compared in a computer experiment. Special and very eff作者: CROW 時(shí)間: 2025-3-22 13:05
https://doi.org/10.1007/978-3-7908-1954-0points can be found as the roots of the derivative. Elementary methods in one dimension are bisection, the regula falsi method, the Newton–Raphson, and secant methods. The efficiency of these methods is compared in a computer experiment. For functions of more than one variable the method of steepest作者: CROW 時(shí)間: 2025-3-22 21:06 作者: licence 時(shí)間: 2025-3-22 23:25
Theory and Theoretical Framework,of thermodynamical averages Monte Carlo methods are very useful which sample the integration volume at randomly chosen points. This chapter begins with some basic statistics. Probability density and cumulative distribution are introduced. The construction of a histogram is described. The central lim作者: 迫擊炮 時(shí)間: 2025-3-23 02:55
https://doi.org/10.1007/978-1-4471-4591-2ymmetric, if real) matrix. The direct solution of the eigenvalue problem is only possible for matrices of very small dimension. For medium-sized problems the Jacobi method or reduction to tridiagonal form by a series of Householder reflections are appropriate. Special algorithms are available for ma作者: 剛開始 時(shí)間: 2025-3-23 07:30
Oksana Soshko,Yuri Merkuryev,Martins Chakstescribe 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 作者: Ventilator 時(shí)間: 2025-3-23 12:44 作者: 獨(dú)行者 時(shí)間: 2025-3-23 16:35 作者: 紡織品 時(shí)間: 2025-3-23 19:23 作者: menopause 時(shí)間: 2025-3-23 23:54 作者: QUAIL 時(shí)間: 2025-3-24 02:45
Information Modeling Approachesains mobile charges. From a combination of the basic equations of electrostatics the generalized Poisson equation is obtained where the charge density is formally divided into a fixed and a mobile part. The goal is to calculate the electrostatic potential self-consistently. We start with a discussio作者: harangue 時(shí)間: 2025-3-24 08:07
Applications in Automotive Industryized wave equation as an eigenvalue problem and simulate waves on a finite string. We derive simple algorithms for direct integration of the discretized wave equation and discuss their stability properties. In a further computer experiment we study reflection at a closed or open boundary or at the b作者: 階層 時(shí)間: 2025-3-24 13:22
https://doi.org/10.1007/978-0-387-68155-9entrations. We analyze the stability of the simple forward Euler method and discuss how instability can easily appear. The implicit backward method has the same error order but is stable. Combination of the two methods gives the Cranck–Nicolson method which is stable and of higher error order. In on作者: bourgeois 時(shí)間: 2025-3-24 17:20
Philipp O. J. SchererExplains numerical techniques and provides many examples to which these can be applied.Teaches the basics of numerical methods.Explains the simulation of classical and quantum systems.Summarizes vario作者: Encoding 時(shí)間: 2025-3-24 22:01 作者: Dappled 時(shí)間: 2025-3-25 00:51
https://doi.org/10.1007/978-3-642-13990-1Algorithms for computer experiments; Classical and quantum systems; Computer experiments; Interpolation作者: 效果 時(shí)間: 2025-3-25 05:51
Springer-Verlag Berlin Heidelberg 2010作者: mitten 時(shí)間: 2025-3-25 09:14
Numerical Differentiationthe Romberg extrapolation method. A computer experiment compares the precision of methods with different error orders. Higher derivatives and differential operators in more dimensions can be obtained from polynomial interpolation.作者: 一加就噴出 時(shí)間: 2025-3-25 12:51 作者: 約會(huì) 時(shí)間: 2025-3-25 19:38
Roots and Extremal Points descent, the conjugate gradient method, and the Newton–Raphson method are discussed. If the full Hessian matrix cannot be calculated, quasi-Newton methods like the BFGS method are helpful. Different methods are compared in another computer experiment.作者: Fermentation 時(shí)間: 2025-3-25 23:35 作者: 老人病學(xué) 時(shí)間: 2025-3-26 02:06 作者: 結(jié)果 時(shí)間: 2025-3-26 04:23 作者: 引起 時(shí)間: 2025-3-26 12:15
periments. The second part specializes in simulation of classical and quantum systems with instructive examples spanning many fields in physics, from a classical rotor to a quantum bit. All program examples are realized as Java applets ready to run in your browser and do not require any programming skills.978-3-642-13990-1作者: 致命 時(shí)間: 2025-3-26 13:24
Textbook 20101st editionsical and quantum systems with instructive examples spanning many fields in physics, from a classical rotor to a quantum bit. All program examples are realized as Java applets ready to run in your browser and do not require any programming skills.作者: Venules 時(shí)間: 2025-3-26 20:19
https://doi.org/10.1007/978-3-7908-1954-0the Romberg extrapolation method. A computer experiment compares the precision of methods with different error orders. Higher derivatives and differential operators in more dimensions can be obtained from polynomial interpolation.作者: 敘述 時(shí)間: 2025-3-27 00:39 作者: osteoclasts 時(shí)間: 2025-3-27 04:52
https://doi.org/10.1007/978-3-7908-1954-0 descent, the conjugate gradient method, and the Newton–Raphson method are discussed. If the full Hessian matrix cannot be calculated, quasi-Newton methods like the BFGS method are helpful. Different methods are compared in another computer experiment.作者: 案發(fā)地點(diǎn) 時(shí)間: 2025-3-27 07:58
https://doi.org/10.1007/978-1-4471-4591-2trices of very large dimension to calculate a small number of eigenvalues and eigenvectors. The famous Lanczos is discussed. A computer experiment demonstrates the application to disorder in a two-dimensional tight-binding model.作者: 豐滿有漂亮 時(shí)間: 2025-3-27 09:30
Oksana Soshko,Yuri Merkuryev,Martins Chaksteom ballistic to diffusive motion is investigated by calculating the velocity autocorrelation and the mean square displacement. In the second example we apply the Monte Carlo method to the one- and two-dimensional Ising model. A chain of configurations is constructed and the average magnetization is compared to analytical solutions.作者: 不滿分子 時(shí)間: 2025-3-27 16:47 作者: 向宇宙 時(shí)間: 2025-3-27 18:31 作者: 小步舞 時(shí)間: 2025-3-27 23:44
https://doi.org/10.1007/978-3-7908-1954-0cillatory behavior characteristic of polynomial interpolation. In a computer experiment both these approaches are compared. Multivariate interpolation is a necessary tool to process multidimensional data sets, for instance, for image processing. A computer experiment compares bilinear interpolation and bicubic spline interpolation.作者: LANCE 時(shí)間: 2025-3-28 02:27
Oksana Soshko,Yuri Merkuryev,Martins Chaksteations directly. Another important method applies singular value decomposition to reduce redundancies and to extract the most important information from experimental data. An example for linear approximation is shown. A computer experiment demonstrates the least square fit for a typical physical problem.作者: 易彎曲 時(shí)間: 2025-3-28 09:11
Oksana Soshko,Yuri Merkuryev,Martins Chaksteulate the gyration tensor which is relevant to scattering experiments. We discuss the simplified Hookean spring model to simulate the force–extension relation. In a further experiment we study Brownian motion in a harmonic potential.作者: 責(zé)怪 時(shí)間: 2025-3-28 12:05 作者: 苦笑 時(shí)間: 2025-3-28 15:06 作者: 工作 時(shí)間: 2025-3-28 18:52 作者: debble 時(shí)間: 2025-3-29 01:32 作者: Coronation 時(shí)間: 2025-3-29 05:00 作者: Adenoma 時(shí)間: 2025-3-29 08:59
Electrostaticslates a charged sphere in a dielectric medium. The influence of initial values and relaxation parameter can be studied. A second example uses the boundary element method to solve the Poisson equation for a charge inside a spherical cavity.作者: Ischemic-Stroke 時(shí)間: 2025-3-29 14:36 作者: 以煙熏消毒 時(shí)間: 2025-3-29 18:10 作者: CREEK 時(shí)間: 2025-3-29 22:42
Wavesed wave equation and discuss their stability properties. In a further computer experiment we study reflection at a closed or open boundary or at the border between two media with different refractive indices. We observe the effect of dispersion for pulses with different shape and duration.作者: largesse 時(shí)間: 2025-3-30 02:14
https://doi.org/10.1007/978-3-7908-1954-0special iterative methods. We discuss the Jacobi and Gauss–Seidel methods and convergence acceleration by the method of successive overrelaxation. Another very efficient method for large systems is the conjugate gradients method which minimizes the gradient of a related quadratic form.作者: Extricate 時(shí)間: 2025-3-30 04:30 作者: 討人喜歡 時(shí)間: 2025-3-30 09:07
Theory and Theoretical Framework, importance sampling are introduced. The Metropolis algorithm is studied in detail which is very helpful to calculate thermodynamic averages in configuration space. Computer experiments demonstrate the central limit theorem and nonlinear optimization with the Metropolis method.作者: FACET 時(shí)間: 2025-3-30 13:45 作者: 溺愛 時(shí)間: 2025-3-30 20:12
Systems of Inhomogeneous Linear Equationsspecial iterative methods. We discuss the Jacobi and Gauss–Seidel methods and convergence acceleration by the method of successive overrelaxation. Another very efficient method for large systems is the conjugate gradients method which minimizes the gradient of a related quadratic form.作者: Acetaminophen 時(shí)間: 2025-3-30 21:38 作者: vitrectomy 時(shí)間: 2025-3-31 01:45 作者: 委屈 時(shí)間: 2025-3-31 05:19 作者: 肉身 時(shí)間: 2025-3-31 10:59 作者: circumvent 時(shí)間: 2025-3-31 15:50
Error Analysis computer uses only a subset of the real numbers. Input data as well as the results of elementary operations have to be represented by such machine numbers whereby rounding errors can be generated. Results from more complex operations like square roots or trigonometric functions can have even larger作者: Fluctuate 時(shí)間: 2025-3-31 18:34
Interpolation the sampling frequency of audio or video signals, interpolation methods are necessary. But interpolation is also helpful to develop more sophisticated numerical methods for the calculation of numerical derivatives or integrals. Polynomial interpolation is discussed in large detail together with its作者: 軟弱 時(shí)間: 2025-3-31 23:08
Numerical Differentiation forces from a complicated force field. The simplest method is the explicit forward difference quotient which has a very poor error order. Precision can be improved significantly by using a symmetric difference quotient. Higher order methods are introduced which can be systematically generated with 作者: 食草 時(shí)間: 2025-4-1 02:51 作者: antenna 時(shí)間: 2025-4-1 06:12
Systems of Inhomogeneous Linear Equationson with pivoting are sufficient which decompose the coefficient matrix into a product of a lower and an upper triangular matrix. An alternative method is QR decomposition which is numerically more stable in certain cases. Both these methods are compared in a computer experiment. Special and very eff
