Numerical Algorithms with C

1. Front Matter

   Pages I-XXII

   PDF

2. Computer Numbers, Error Analysis, Conditioning, Stability of Algorithms and Operations Count

   • Gisela Engeln-Müllges, Frank Uhlig

   Pages 1-12

3. Nonlinear Equations in One Variable

   • Gisela Engeln-Müllges, Frank Uhlig

   Pages 13-41

4. Roots of Polynomials

   • Gisela Engeln-Müllges, Frank Uhlig

   Pages 43-57

5. Direct Methods for Solving Systems of Linear Equations

   • Gisela Engeln-Müllges, Frank Uhlig

   Pages 59-129

6. Iterative Methods for Linear Systems

   • Gisela Engeln-Müllges, Frank Uhlig

   Pages 131-142

7. Systems of Nonlinear Equations

   • Gisela Engeln-Müllges, Frank Uhlig

   Pages 143-154

8. Eigenvalues and Eigenvectors of Matrices

   • Gisela Engeln-Müllges, Frank Uhlig

   Pages 155-178

9. Linear and Nonlinear Approximation

   • Gisela Engeln-Müllges, Frank Uhlig

   Pages 179-218

10. Polynomial and Rational Interpolation

    • Gisela Engeln-Müllges, Frank Uhlig

    Pages 219-249

11. Interpolating Polynomial Splines for Constructing Smooth Curves

    • Gisela Engeln-Müllges, Frank Uhlig

    Pages 251-286

12. Cubic Fitting Splines for Constructing Smooth Curves

    • Gisela Engeln-Müllges, Frank Uhlig

    Pages 287-297

13. Two-Dimensional Splines, Surface Splines, Bézier Splines, B-Splines

    • Gisela Engeln-Müllges, Frank Uhlig

    Pages 299-339

14. Akima and Renner Subsplines

    • Gisela Engeln-Müllges, Frank Uhlig

    Pages 341-352

15. Numerical Differentiation

    • Gisela Engeln-Müllges, Frank Uhlig

    Pages 353-360

16. Numerical Integration

    • Gisela Engeln-Müllges, Frank Uhlig

    Pages 361-402

17. Numerical Cubature

    • Gisela Engeln-Müllges, Frank Uhlig

    Pages 403-422

18. Initial Value Problems for Ordinary Differential Equations

    • Gisela Engeln-Müllges, Frank Uhlig

    Pages 423-488

19. Boundary Value Problems for Ordinary Differential Equations

    • Gisela Engeln-Müllges, Frank Uhlig

    Pages 489-507

20. Back Matter

    Pages 509-597

    PDF

The book gives an informal introduction to mathematical and computational principles governing numerical analysis, as well as practical guidelines for using over 130 elaborate numerical analysis routines. It develops detailed formulas for both standard and rarely found algorithms, including many variants for linear and non-linear equation solvers, one- and two-dimensional splines of various kinds, numerical quadrature and cubature formulas of all known stable orders, and stable IVP and BVP solvers, even for stiff systems of differential equations. The descriptions of the algorithms are very detailed and focus on their implementation, giving sensible decision criteria to choose among the algorithms and describing the merits and demerits of each one. The authors see "Numerical Algorithms with C" as a depository of highly useful and effective algorithms and codes for the scientist and engineer who needs to have direct access to such algorithms. The programs are all field tested. The enclosed CD-ROM contains all computer codes, a compiler and a test bed of programs and data for most of the algorithms. Each test program includes detailed comments and describes available options, all clearly marked, with a complete list of error codes, etc.

• ANSI C-Programs
• Algorithmen
• Ansi C-Programme
• C programming language
• C-Programme
• Numerical mathematics
• Numerische Mathematik
• algorithm
• algorithms
• c-programs
• numerical analysis
• programming
• programming language

• Fachhochschule Aachen, Aachen, Germany

  Gisela Engeln-Müllges

• Department of Mathematics, Auburn University, Auburn, USA

  Frank Uhlig

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