书目名称 | Numerical Solution of Partial Differential Equations on Parallel Computers |
编辑 | Are Magnus Bruaset,Aslak Tveito |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Computational Science and Engineering |
图书封面 |  |
描述 | Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even t |
出版日期 | Conference proceedings 2006 |
关键词 | Computer; Simulation; architecture; computer science; differential equation; domain decomposition; multigr |
版次 | 1 |
doi | https://doi.org/10.1007/3-540-31619-1 |
isbn_softcover | 978-3-540-29076-6 |
isbn_ebook | 978-3-540-31619-0Series ISSN 1439-7358 Series E-ISSN 2197-7100 |
issn_series | 1439-7358 |
copyright | Springer-Verlag Berlin Heidelberg 2006 |