Overview

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.

Full Product Details

Author:   Gisela Engeln-Müllges ,  M. Schon ,  Frank Uhlig ,  F. Uhlig
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1996
Dimensions:   Width: 15.50cm , Height: 3.20cm , Length: 23.50cm
Weight:   0.949kg
ISBN:  

9783642800450

ISBN 10:   3642800459
Pages:   602
Publication Date:   13 April 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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