c++ 中蒙特卡罗方法的好书?

发布于 2024-08-19 18:17:30 字数 75 浏览 3 评论 0原文

谁能推荐一本关于c++中蒙特卡罗算法的好入门书吗?优选地应用于物理学,并且甚至更优选地,物理学的种类是量子力学。

谢谢!

Can anybody recommend a good introduction book on Monte Carlo algorithms in c++? Preferably with applications to physics, and even more preferably, the kind of physics being quantum mechanics.

Thanks!

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忆沫 2024-08-26 18:17:30

你可以看看 Morten Hjorth-Jensen 的 计算物理讲义(pdf 文件,5.3 MB),奥斯陆大学(2009 年),第 8-11 章(特别是第 11 章,关于量子蒙特卡罗)。

但是,您应该确保您不会尝试同时学习太多东西(蒙特卡洛、C++、量子力学)。对于每个主题都有非常好的参考书(或介绍性书籍)。

You can have a look at Morten Hjorth-Jensen's Lecture Notes on Computational Physics (pdf file, 5.3 MB), University of Oslo (2009), chapters 8-11 (especially chapter 11, on Quantum Monte Carlo).

However, you should make sure you are not trying to learn too many things at the same time (Monte Carlo, C++, quantum mechanics). There are very good references (or introductory books) for each one of those topics separately.

别理我 2024-08-26 18:17:30

如果您不介意一本有金融倾向的书,我对 Monte 的初步评估Carlo Frameworks:构建可定制的高性能 C++ 应用程序 非常积极。

If you don't mind a book with a finance slant to it, my initial assessment of Monte Carlo Frameworks: Building Customisable High-Performance C++ Applications is very positive.

生生漫 2024-08-26 18:17:30

这不仅仅是一本关于蒙特卡罗方法或仅仅关于 C++ 的书,而是一本关于一般计算物理的好书,其中有一些关于蒙特卡罗方法(包括量子蒙特卡罗)的章节计算物理学 作者:JM Thijssen。

另外,ALPS 项目是一些蒙特卡罗模拟的一个很好的软件包。 。所有代码都是用 C++ 编写的。 ALPS 项目还有一个用于密度重整化群理论的程序,该程序主要用于一维晶格模拟。不过,这些更多的是针对晶格的模拟,我不知道您想要进行哪种量子模拟。

It isn't a book just on Monte Carlo methods or just about C++, but a good book about general computational physics that has a few chapters on Monte Carlo methods including quantum Monte Carlo is Computational Physics by J.M. Thijssen.

Also, one good package for some Monte Carlo simulations is the ALPS Project. All of the codes are written in C++. The ALPS Project also has a program in it for Density Renormalization Group theory which is a great method mostly for 1D lattice simulations. These are more for simulations on lattices though and I don't know what sort of quantum simulations you are looking to do.

新一帅帅 2024-08-26 18:17:30

查找 Radford Neal 的马尔可夫链蒙特卡罗讲座笔记。

Look for Radford Neal's Markov Chain Monte Carlo lecture notes.

北城孤痞 2024-08-26 18:17:30

Jerome Spanier 和 Ely M. Gelbard 多年前写了一本名为《蒙特卡洛原理和中子输运问题》的书,该书在去年左右以 12 美元的价格发行。刘军几年前写了一本好书,但它更多的是使用 MC 和 MCMC 的统计学方法。其中有很多很好的材料,还有一些高级应用程序。我有一本平装本,花了大约 30 美元买的。

Jerome Spanier and Ely M. Gelbard wrote a book many years ago called "Monte Carlo Principles and Neutron Transport Problems," which has been released for ~$12 in the last year or so. Jun Liu wrote a good book several years ago, but it's more of a statistician approach to use MC and MCMC. Lots of good material in there though with some advanced applications. I have a paperback version that I picked up for ~$30.

输什么也不输骨气 2024-08-26 18:17:30

为什么不使用 C# 来代替?

我会向您推荐 George Levy 的书 http://www.amazon .fr/Computational-Finance-Using-C/dp/0750669195。本书涉及金融数学以及蒙特卡罗方法。

Why not using C# instead ?

I would recommend you the book of George Levy http://www.amazon.fr/Computational-Finance-Using-C/dp/0750669195. This book deals with financial mathematics and so with Monte-Carlo methods..

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