03360nam 22005655 450 991027975480332120231128174419.03-319-69105-810.1007/978-3-319-69105-3(CKB)4100000004243469(DE-He213)978-3-319-69105-3(MiAaPQ)EBC6315265(PPN)227402642(EXLCZ)99410000000424346920180514d2017 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierScientific Computing Vol. I - Linear and Nonlinear Equations /by John A. Trangenstein1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XXVI, 622 p. 31 illus., 20 illus. in color.)Texts in Computational Science and Engineering,2197-179X ;183-319-69104-X 1. Introduction to Scientific Computing -- 1. Working with a Computer -- 3. Linear Algebra -- 4. Scientific Visualization -- 5. Nonlinear Equations -- 6. Least Square Problems -- References. - Author Index.This is the first of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses basic principles of computation, and fundamental numerical algorithms that will serve as basic tools for the subsequent two volumes. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 80 examples, 324 exercises, 77 algorithms, 35 interactive JavaScript programs, 391 references to software programs and 4 case studies. Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in LAPACK, GSLIB and MATLAB. This book could be used for an introductory course in numerical methods, for either upper level undergraduates or first year graduate students. Parts of the text could be used for specialized courses, such as principles of computer languages or numerical linear algebra.Texts in Computational Science and Engineering,2197-179X ;18Mathematics—Data processingDifferential equationsMathematical optimizationComputational Mathematics and Numerical AnalysisDifferential EquationsOptimizationMathematics—Data processing.Differential equations.Mathematical optimization.Computational Mathematics and Numerical Analysis.Differential Equations.Optimization.510Trangenstein J. A(John Arthur),1949-authttp://id.loc.gov/vocabulary/relators/aut506734MiAaPQMiAaPQMiAaPQBOOK9910279754803321Scientific Computing1563009UNINA