Numerical Algorithms with Fortran

Softcover Nachdruck of the original 1. Auflage 1996
ISBN: 978-3-642-80045-0
Verlag: Springer

Buch, Englisch, 602 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 937 g

This is a completely up-to-date compendium of Fortran algorithms for numerical mathematics, including many sophisticated algorithms which are not available elsewhere. All have been extensively field-tested and cover methods for solving nonlinear equations, the method of Laguerre for solving algebraic equations, conjugating gradients for solving linear systems of equations, and the McKee algorithm for solving special systems of symmetric equations. The real, practical algorithms provided make the book indispensable for applied scientists working in all areas of research. The CD contains Fortran programs for the algorithms given in the text.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Uhlig, Frank

Engeln-Müllges, Gisela

Weitere Mitwirkende

Schon, M.

Uhlig, F.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

1 Computer Numbers, Error Analysis, Conditioning, Stability of Algorithms and Operations Count.- 2 Nonlinear Equations in One Variable.- 3 Roots of Polynomials.- 4 Direct Methods for Solving Systems of Linear Equations.- 5 Iterative Methods for Linear Systems.- 6 Systems of Nonlinear Equations.- 7 Eigenvalues and Eigenvectors of Matrices.- 8 Linear and Nonlinear Approximation.- 9 Polynomial and Rational Interpolation.- 10 Interpolating Polynomial Splines for Constructing Smooth Curves.- 11 Cubic Fitting Splines for Constructing Smooth Curves.- 12 Two-Dimensional Splines, Surface Splines, Bézier Splines, B-Splines.- 13 Akima and Renner Subsplines.- 14 Numerical Differentiation.- 15 Numerical Integration.- 16 Numerical Cubature.- 17 Initial Value Problems for Ordinary Differential Equations.- 18 Boundary Value Problems for Ordinary Differential Equations.- A Appendix: Standard FORTRAN 77 Subroutines.- A.1 Preface of the Appendix.- A.2 Information on Campus and Site Licenses, as well as on Other Software Packages.- A.3 Contents of the Enclosed CD.- of the Appendix.- A.4 FORTRAN 77 Subroutines.- B Bibliography.- Literature for Other Topics.- - Numerical Treatment of Partial Differential Equations.- - Finite Element Method.- C Index.