PNM swMATH ID: 5917 Software Authors: Aberth, Oliver Description: Introduction to precise numerical methods. With CD-ROM. Precise numerical analysis may be defined as the study of computer methods for solving mathematical problems either exactly or to prescribed accuracy. This book explains how precise numerical analysis is constructed. It includes a CD-ROM which contains executable Windows XP programs for the PC and which demonstrates how these programs can be used to solve typical problems of elementary numerical analysis with precision. The book also provides exercises which illustrate points from the text and references for the methods presented. Homepage: http://www.math.tamu.edu/~oliver.aberth/soft.html Programming Languages: C++ Keywords: textbook; numerical approximation; numerical linear algebra; nonlinear equations; ODEs; PDEs; numerical optimization Related Software: INTOPT_90; C-XSC 2.0; C-XSC; INTLAB; MPFI; intpakX; Algorithm 524; iRRAM; filib++; INTPAK; mctoolbox; MPFR; Mathematica; Maple; ISOLATE; PROFIL/BIAS; Ariadne; Excel; Algorithm 693; gmp Cited in: 35 Publications Standard Articles 3 Publications describing the Software, including 3 Publications in zbMATH Year Introduction to precise numerical methods. With CD-ROM. 2nd ed. Zbl 1127.65001Aberth, Oliver 2007 Precise numerical methods using C++. Zbl 0932.65001Aberth, Oliver 1998 Precise computation using range arithmetic, via C++. Zbl 0892.65028Aberth, Oliver; Schaefer, Mark J. 1992 all top 5 Cited by 33 Authors 5 Aberth, Oliver George 5 Kreinovich, Vladik Yakovlevich 3 Babuška, Ivo 3 Collins, Peter J. 3 Revol, Nathalie 3 Schaefer, Mark J. 2 Krämer, Walter 2 Sella, Lorenzo 2 Silva, Renato S. 1 Csík, Árpád 1 Gazdag-Tóth, Boglárka 1 Glomski, Matthew 1 Granvilliers, Laurent 1 Grimmer, Markus 1 Hyvönen, Eero 1 Johnson, Matthew A. 1 Khaliq, Mohammad Haroon 1 Kocsárdi, Sándor 1 Kubica, Bartłomiej Jacek 1 Lambov, Branimir 1 Maros, István 1 Müller, Norbert Th. 1 Petras, Knut 1 Rouillier, Fabrice 1 Shur, Arseny M. 1 Sofroniou, Mark 1 Spaletta, Giulia 1 Szolgay, Péter 1 Tucker, Warwick 1 Varin, Victor P. 1 Velupillai, Kumaraswamy (Vela) 1 Weber, Andreas Günter 1 Yu, Mingbao all top 5 Cited in 22 Serials 3 Journal of Computational and Applied Mathematics 2 MSCS. Mathematical Structures in Computer Science 2 Applied Mathematical Sciences (Ruse) 1 Computer Methods in Applied Mechanics and Engineering 1 Physica A 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 Computing 1 International Journal for Numerical Methods in Engineering 1 SIGSAM Bulletin 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Reliable Computing 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Universal Computer Science 1 The Journal of Logic and Algebraic Programming 1 EURASIP Journal on Advances in Signal Processing 1 Albanian Journal of Mathematics 1 Computer Science Review all top 5 Cited in 19 Fields 21 Numerical analysis (65-XX) 6 Computer science (68-XX) 5 Operations research, mathematical programming (90-XX) 4 Mathematical logic and foundations (03-XX) 4 Fluid mechanics (76-XX) 2 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year