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.

References in zbMATH (referenced in 23 articles )

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  1. Mudzimbabwe, W.; Patidar, K.C.; Witbooi, P.J.: A reliable numerical method to price arithmetic Asian options (2012)
  2. Dunkl, Charles F.; Gawron, Piotr; Holbrook, John A.; Puchała, Zbigniew; Życzkowski, Karol: Numerical shadows: measures and densities on the numerical range (2011)
  3. Özalp, Nuri; Bairamov, Elgiz: Uniform convergence and computation of the generalized exponential integrals (2011)
  4. Karawia, A.A.: Two algorithms for solving comrade linear systems (2007)
  5. Karawia, A.A.: Two algorithms for solving a general backward tridiagonal linear systems (2007)
  6. Miranda, Mario J.: Teaching computational economics in an applied economics program (2005)
  7. Kaya, Doǧan: A reliable method for the numerical solution of the kinetics problems (2004)
  8. Stoumbos, Zachary G.; Reynolds, Marion R. jun.: The SPRT control chart for the process mean with samples starting at fixed times (2001)
  9. Hurn, A.S.; McDonald, A.D.: Isolating cyclical patterns in irregular time-series data. (1997)
  10. Schei, Tor Steinar: A finite-difference method for linearization in nonlinear estimation algorithms (1997)
  11. Stoumbos, Zachary G.; Reynolds, Marion R. jun.: Corrected diffusion theory approximations in evaluating properties of SPRT charts for monitoring a process mean (1997)
  12. Wang, P.Patrick: Optimally scheduling $N$ customer arrival times for a single-server system (1997)
  13. Kramer, K.M.; Hitchon, W.N.G.: A highly flexible tool for large scale computational problems in applied physics (1995)
  14. Perez, Ronald A.; Lou, Kang-Ning: Artificial neural networks for structural analysis (1995)
  15. Ames, K.A.; Cobb, Shannon S.: Penetrative convection in a porous medium with internal heat sources (1994)
  16. Klemer, D.R.; Connell, S.; Karim, M.A.: Second-order complex Newton root-finding algorithm for determining resonant modes of a nontrivial laser system (1994)
  17. Behforooz, G.: The not-a-knot piecewise interpolatory cubic polynomial (1992)
  18. Santiago, Marilyn; Kincaid, David R.: Using cyclic reduction on a parallel computer to improve the performance of an underwater sound implicit finite difference model (1991)
  19. Ames, K.A.; Straughan, B.: Penetrative convection in fluid layers with internal heat sources (1990)
  20. Behforooz, G.: End conditions for cubic spline interpolation derived from integration (1989)

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