Titlebook: Computational Physics; Simulation of Classi Philipp O. J. Scherer Textbook 20101st edition Springer-Verlag Berlin Heidelberg 2010 Algorithm

叙述

osteoclasts

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.

案发地点

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.

丰满有漂亮

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.

不满分子

向宇宙

小步舞

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.

LANCE

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.

易弯曲

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.

责怪