| 書目名稱 | Matrix-Based Multigrid | | 副標(biāo)題 | Theory and Applicati | | 編輯 | Yair Shapira | | 視頻video | http://file.papertrans.cn/628/627781/627781.mp4 | | 叢書名稱 | Numerical Methods and Algorithms | | 圖書封面 |  | | 描述 | Many important problems in applied science and engineering, such as the Navier- Stokes equations in fluid dynamics, the primitive equations in global climate mod- eling, the strain-stress equations in mechanics, the neutron diffusion equations in nuclear engineering, and MRIICT medical simulations, involve complicated sys- tems of nonlinear partial differential equations. When discretized, such problems produce extremely large, nonlinear systems of equations, whose numerical solution is prohibitively costly in terms of time and storage. High-performance (parallel) computers and efficient (parallelizable) algorithms are clearly necessary. Three classical approaches to the solution of such systems are: Newton‘s method, Preconditioned Conjugate Gradients (and related Krylov-space acceleration tech- niques), and multigrid methods. The first two approaches require the solution of large sparse linear systems at every iteration, which are themselves often solved by multigrid methods. Developing robust and efficient multigrid algorithms is thus of great importance. The original multigrid algorithm was developed for the Poisson equation in a square, discretized by finite differences on a un | | 出版日期 | Book 20031st edition | | 關(guān)鍵詞 | algebra; algorithms; calculus; linear algebra; partial differential equation | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-3726-4 | | isbn_ebook | 978-1-4757-3726-4Series ISSN 1571-5698 | | issn_series | 1571-5698 | | copyright | Springer Science+Business Media New York 2003 |
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