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020 _a9783031487880
_9978-3-031-48788-0
024 7 _a10.1007/978-3-031-48788-0
_2doi
050 4 _aTA329-348
050 4 _aTA345-345.5
072 7 _aTBJ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
100 1 _aNguyen, Duc Thai.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_975742
245 1 0 _aFinite Element Methods
_h[electronic resource] :
_bParallel-Sparse Statics and Eigen-Solutions /
_cby Duc Thai Nguyen.
250 _a2nd ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXIX, 808 p. 175 illus., 69 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aA Review of Basic Finite Element Procedures -- Simple MPI/FORTRAN Applications -- Direct Sparse Equation Solvers -- Sparse Assembly Process -- Generalized Eigen-Solvers -- Finite Element Domain Decomposition Procedures.
520 _aThis new edition includes three new chapters, 7 through 9, that have very broad, practical applications in engineering and science. In addition, the author’s latest research results (in Domain Partitioning algorithms) incorporated into the new textbook (Chapter 7) demonstrates better performance than the popular METIS software for partitioning graphs, partitioning finite element meshes, and producing less non-zero fill-in terms for sparse factorization. The new Chapter 8, and its pre-requisite, Chapter 7, present a state-of-the-art algorithm for computing the shortest paths for real-life (large-scale) transportation networks with minimum computational time. This approach has not yet appeared in any existing textbooks and it could open the doors for other transportation engineering applications. Chapter 9 vastly expands the scope of the previous edition by including sensitivity (gradient) computation and MATLAB’s built-in function “fmincon” for obtaining the optimum (or best) solution for general engineering problems. Greatly expands chapters 2 and 6, added appendices and adds three new chapters, 7, 8, and 9; Introduces several additional/important research topics for “broad (engineering & science)” applications; Explains FETI-DP methods, SVD (with examples) and useful tutorial materials for improving MATLAB programming skills.
650 0 _aEngineering mathematics.
_964145
650 0 _aEngineering
_xData processing.
650 0 _aMathematics.
_965523
650 0 _aComputational intelligence.
_964052
650 0 _aMathematical physics.
650 0 _aMicroprocessors.
_959300
650 0 _aComputer architecture.
650 0 _aMathematics
_xData processing.
_965715
650 1 4 _aMathematical and Computational Engineering Applications.
650 2 4 _aApplications of Mathematics.
_965529
650 2 4 _aComputational Intelligence.
_964052
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_965563
650 2 4 _aProcessor Architectures.
650 2 4 _aComputational Mathematics and Numerical Analysis.
_966073
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031487873
776 0 8 _iPrinted edition:
_z9783031487897
776 0 8 _iPrinted edition:
_z9783031487903
856 4 0 _uhttps://doi.org/10.1007/978-3-031-48788-0
912 _aZDB-2-ENG
912 _aZDB-2-SXE
999 _c59372
_d59372