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101 0 $aeng
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200 10$aScientific Computing $eVol. III - Approximation and Integration /$fby John A. Trangenstein
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XXV, 592 p. 42 illus., 40 illus. in color.)
225 1 $aTexts in Computational Science and Engineering,$x1611-0994 ;$v20
311   $a3-319-69109-0 
320   $aIncludes bibliographical references and indexes.
327   $a1. Interpolation and Approximation -- Differentiation and Integration -- Initial Value Problems -- Boundary Value Problems -- References -- Author Index.
330   $aThis is the third of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses topics that depend more on calculus than linear algebra, in order to prepare the reader for solving differential equations. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 90 examples, 200 exercises, 36 algorithms, 40 interactive JavaScript programs, 91 references to software programs and 1 case study. Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in GSLIB and MATLAB. This book could be used for a second course in numerical methods, for either upper level undergraduates or first year graduate students. Parts of the text could be used for specialized courses, such as nonlinear optimization or iterative linear algebra.
410  0$aTexts in Computational Science and Engineering,$x1611-0994 ;$v20
606   $aComputer science$xMathematics
606   $aDifferential equations
606   $aMathematical optimization
606   $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008
615  0$aComputer science$xMathematics.
615  0$aDifferential equations.
615  0$aMathematical optimization.
615 14$aComputational Mathematics and Numerical Analysis.
615 24$aOrdinary Differential Equations.
615 24$aOptimization.
676   $a511.4
700   $aTrangenstein$b J. A$g(John Arthur),$f1949-$4aut$4http://id.loc.gov/vocabulary/relators/aut$0506734
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996   $aScientific Computing$91563009
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