This volume of lecture notes briefly introduces the basic concepts needed in any computational physics course: software and hardware, programming skills, linear algebra, and differential calculus. It then presents more advanced numerical methods to tackle the quantum many-body problem: it reviews the numerical renormalization group and then focuses on tensor network methods, from basic concepts to gauge invariant ones. Finally, in the last part, the author presents some applications of tensor network methods to equilibrium and out-of-equilibrium correlated quantum matter.

本卷课堂讲稿简要介绍了任何计算物理课程所需的基本概念：软件和硬件、编程技能、线性代数和微分学。然后介绍了更先进的数值方法来解决量子多体问题：回顾了数值重整化群，然后重点介绍了张量网络方法，从基本概念到规范不变方法。最后，在最后一部分，作者介绍了张量网络方法在平衡态和非平衡态关联量子物质中的一些应用。