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  • 1
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    Springer Nature | Birkhäuser
    Publication Date: 2024-04-04
    Description: Large sparse linear systems of equations are ubiquitous in science, engineering and beyond. This open access monograph focuses on factorization algorithms for solving such systems. It presents classical techniques for complete factorizations that are used in sparse direct methods and discusses the computation of approximate direct and inverse factorizations that are key to constructing general-purpose algebraic preconditioners for iterative solvers. A unified framework is used that emphasizes the underlying sparsity structures and highlights the importance of understanding sparse direct methods when developing algebraic preconditioners. Theoretical results are complemented by sparse matrix algorithm outlines. This monograph is aimed at students of applied mathematics and scientific computing, as well as computational scientists and software developers who are interested in understanding the theory and algorithms needed to tackle sparse systems. It is assumed that the reader has completed a basic course in linear algebra and numerical mathematics.
    Keywords: Sparse Matrices ; Algebraic Preconditioners ; Sparse Direct Methods ; Incomplete Factorizations ; Approximate Inverses ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra ; thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra ; thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists
    Language: English
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  • 2
    Publication Date: 2022-10-18
    Description: © The Author(s), 2015. This article is distributed under the terms of the Creative Commons Attribution License. The definitive version was published in GigaScience 4 (2015): 27, doi:10.1186/s13742-015-0066-5.
    Description: Ocean Sampling Day was initiated by the EU-funded Micro B3 (Marine Microbial Biodiversity, Bioinformatics, Biotechnology) project to obtain a snapshot of the marine microbial biodiversity and function of the world’s oceans. It is a simultaneous global mega-sequencing campaign aiming to generate the largest standardized microbial data set in a single day. This will be achievable only through the coordinated efforts of an Ocean Sampling Day Consortium, supportive partnerships and networks between sites. This commentary outlines the establishment, function and aims of the Consortium and describes our vision for a sustainable study of marine microbial communities and their embedded functional traits.
    Description: This work was supported by the Micro B3 project, which is funded from the European Union’s Seventh Framework Programme (FP7; Joint Call OCEAN.2011‐2: Marine microbial diversity – new insights into marine ecosystems functioning and its biotechnological potential) under the grant agreement no 287589.
    Keywords: Ocean sampling day ; OSD ; Biodiversity ; Genomics ; Health index ; Bacteria ; Microorganism ; Metagenomics ; Marine ; Micro B3 ; Standards
    Repository Name: Woods Hole Open Access Server
    Type: Article
    Format: application/pdf
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