LEADER 03598nam  22005535  450 
001 9910792487003321
005 20220407193701.0
010   $a1-4757-2272-9
024 7 $a10.1007/978-1-4757-2272-7
035   $a(CKB)2660000000024209
035   $a(SSID)ssj0001297242
035   $a(PQKBManifestationID)11766177
035   $a(PQKBTitleCode)TC0001297242
035   $a(PQKBWorkID)11354710
035   $a(PQKB)11535601
035   $a(DE-He213)978-1-4757-2272-7
035   $a(MiAaPQ)EBC3084190
035   $a(PPN)238008606
035   $a(EXLCZ)992660000000024209
100   $a20130125d1993      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aIntroduction to Numerical Analysis$b[electronic resource] /$fby J. Stoer, R. Bulirsch
205   $a2nd ed. 1993.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1993.
215   $a1 online resource (XIII, 660 p.)
225 1 $aTexts in Applied Mathematics,$x0939-2475 ;$v12
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-387-97878-X 
311   $a1-4757-2274-5 
320   $aIncludes bibliographical references and index.
327   $a1 Error Analysis -- 2 Interpolation -- 3 Topics in Integration -- 4 Systems of Linear Equations -- 5 Finding Zeros and Minimum Points by Iterative Methods -- 6 Eigenvalue Problems -- 7 Ordinary Differential Equations -- 8 Iterative Methods for the Solution of Large Systems of Linear Equations. Some Further Methods -- General Literature on Numerical Methods.
330   $aOn the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equa­ tions and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations.
410  0$aTexts in Applied Mathematics,$x0939-2475 ;$v12
606   $aNumerical analysis
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
615  0$aNumerical analysis.
615 14$aNumerical Analysis.
676   $a518
686   $a65-01$2msc
700   $aStoer$b J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0344509
702   $aBulirsch$b R$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910792487003321
996   $aIntroduction to Numerical Analysis$93732495
997   $aUNINA