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Matrix-Based Multigrid : Theory and Applications / Shapira, Yair

Tác giả : Shapira, Yair

Nhà xuất bản : Springer

Năm xuất bản : 2008

Số phân loại : 518

Chủ đề : 1. Computer science -- Mathematics ; Computer science. 2. Book.

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Tóm tắt :

Multigrid methods are often used for solving partial differential equations. This book introduces and analyzes the multigrid approach. The approach used here applies to both test problems on rectangular grids and to more realistic applications with complicated grids and domains. Key Features of this Second Edition: - Discusses multigrid methods from the domain decomposition viewpoint, thus making the material accessible to beginning undergraduate/graduate students - Uses the semialgebraic multigrid approach to handle complex topics (such as the solution of systems of PDEs) - Provides relevant and insightful exercises at the end of each chapter which help reinforce the material - Uses numerous illustrations and examples to motivate the subject matter - Covers important applications in physics, engineering and computer science Matrix-Based Multigrid can serve as a textbook for courses in numerical linear algebra, numerical methods for PDEs, and computational physics at the advanced undergraduate and graduate levels. Since most of the background material is covered, the only prerequisites are elementary linear algebra and calculus.

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https://repository.vnu.edu.vn/handle/VNU_123/26576