Numerical Algorithms with Fortran - Softcover

Engeln-Mullges, Gisela

Softcover

ISBN 10: 3540605290 ISBN 13: 9783540605294

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1996

Synopsis

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.

About this title

From the Back Cover

This comprehensive handbook 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. "Numerical Algorithms with Fortran" is 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 have been widely field tested. The enclosed CD-ROM contains all computer codes, both for Fortran 77 and compatible with Fortran 90, a compiler, and a test bed of programs and data for most algorithms. Each program includes detailed comments and describes available options, all clearly marked, with a complete list of error codes, etc.

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1996
• ISBN 10: 3540605290
• ISBN 13: 9783540605294
• Binding: Paperback
• Language: English
• Number of pages: 624