Parallel-Sparse Statics and Eigen-Solutions Nguyen, Duc Thai. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 2nd ed. 2024. monographic eng

electronic

electronic resource

access XIX, 808 p. 175 illus., 69 illus. in color. online resource. This 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. A 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. by Duc Thai Nguyen. Engineering mathematics Engineering Data processing Mathematics Computational intelligence Mathematical physics Microprocessors Computer architecture Mathematics Data processing Mathematical and Computational Engineering Applications Applications of Mathematics Computational Intelligence Theoretical, Mathematical and Computational Physics Processor Architectures Computational Mathematics and Numerical Analysis TA329-348 TA345-345.5 9783031487880 https://doi.org/10.1007/978-3-031-48788-0 https://doi.org/10.1007/978-3-031-48788-0 240425 20251030112010.0 978-3-031-48788-0