The book "The Art of High Performance Computing for Computational Science, Vol. 1" provides a comprehensive introduction to the fundamental and practical techniques of parallel computing, as well as related methods of numerical analysis. It is aimed at researchers conducting numerical calculations and simulations and is applicable across various scientific disciplines, including physics, chemistry, biology, earth sciences, aerospace science, meteorology, disaster management, and manufacturing. The content is particularly useful for software developers in these fields and is designed for graduate students and researchers in computational science. The book begins with an introduction to current trends in computer architecture and parallel processing, then covers the basics of parallel programming and specific techniques such as the Message Passing Interface (MPI) and OpenMP. It also offers insights into performance optimization and communication, as well as the application of linear algebra libraries.