cheney-kincaid swMATH ID: 11656 Software Authors: Cheney, Ward; Kincaid, David Description: Numerical mathematics and computing. 2nd ed. Features that are new to this second edition are as follows: Many more examples of worked problems have been included, especially in the earlier chapters where presumably they are most helpful. The computer programs in te book have been revised to illustrate the structure style available in Fortran 77 now favored by many programmers. New topics, such as Gaussian quadrature, adaptive Simpson’s integration, and discrete orthogonal polynomials, have been added. Many problem sets throughout the book have been revised and reorganized in an attempt to group the problems according to subject matter and difficulty. Important topics formerly developed in the problems have been incorporated into the text instead. The chapters have been reordered for logical and pedagogical reasons. The discussion of floating-point number representation has been revised and simplified. Richardson extrapolation has been given greater prominence and emphasis. More material on the LU factorization has been added in the chapter on solving linear systems of equations. A new appendix on the concepts and notation of basic linear algebra has been included. The appendix on Fortran has been expanded and now emphasizes Fortran 77. Many more answers and hits to problems have been supplied. Homepage: http://www.netlib.org/cheney-kincaid/index.html Keywords: number representation; error analysis; roots of equations; interpolation; numerical differentiation; numerical integration; linear systems; splines; Monte Carlo methods; smoothing; least squares method; minimization; linear programming; Fortran programs; elementary textbook; Fortran 77 Related Software: MACSYMA; Matlab; Mathematica; Maple; SimGen; PLTMG; CompEcon; Algorithm 524 Cited in: 23 Publications all top 5 Cited by 33 Authors 2 Ames, Karen A. 2 Behforooz, G. Hossein 2 Karawia, A. A. 2 Kincaid, David Ronald 2 Reynolds, Marion R. jun. 2 Stoumbos, Zachary G. 2 Straughan, Brian 1 Bairamov, Elgiz 1 Cheney, Elliott Ward jun. 1 Cobb, Shannon S. 1 Dunkl, Charles F. 1 Gawron, Piotr 1 Holbrook, John A. R. 1 Hsieh, P. Y. 1 Kaya, Doǧan 1 Klemer, D. R. 1 Kramer, K. M. 1 Lou, Kang-Ning 1 Miranda, Mario J. 1 Mudzimbabwe, Walter 1 Ozalp, Nuri 1 Patidar, Kailash C. 1 Payne, Lawrence Edward 1 Perez, Ronald A. 1 Puchała, Zbigniew 1 Rashidinia, Jalil 1 Santiago, Marilyn 1 Schei, Tor Steinar 1 Sharifi, S. H. 1 Song, Jong Chul 1 Wang, Pu Patrick 1 Witbooi, Peter Joseph 1 Życzkowski, Karol all top 5 Cited in 15 Serials 6 Applied Mathematics and Computation 2 Computers & Mathematics with Applications 2 International Journal of Engineering Science 1 Acta Mechanica 1 Computer Physics Communications 1 Journal of the Franklin Institute 1 Automatica 1 Computers & Operations Research 1 Mathematical and Computer Modelling 1 Linear Algebra and its Applications 1 Computational Economics 1 Journal of Mathematical Chemistry 1 Nonlinear Analysis. Real World Applications 1 Mathematical Sciences 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 21 Fields 12 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 Approximations and expansions (41-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year