| 书目名称 | Fundamentals of Scientific Computing |
| 编辑 | Bertil Gustafsson |
| 视频video | |
| 概述 | Explanations of the most basic and fundamental mathematical and numerical principles that makes a thorough understanding of advanced methods easy.A unified approach demonstrating the power of mathemat |
| 丛书名称 | Texts in Computational Science and Engineering |
| 图书封面 |  |
| 描述 | .The book of nature is written in the language of mathematics . -- .Galileo Galilei. .How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? .The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation..This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. A |
| 出版日期 | Textbook 2011 |
| 关键词 | computational mathematics; computational science and engineering; differential equations; mathematical |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-19495-5 |
| isbn_softcover | 978-3-642-26864-9 |
| isbn_ebook | 978-3-642-19495-5Series ISSN 1611-0994 Series E-ISSN 2197-179X |
| issn_series | 1611-0994 |
| copyright | Springer-Verlag Berlin Heidelberg 2011 |
发表于 2025-3-21 17:52:36
