Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis) [electronic resource] /

On Methods for the Construction of the Boundaries of Sets of Solutions for Differential Equations or Finite-Dimensional Approximations with Input Sets -- Roundings and Approximations in Ordered Sets -- Interval Analysis in the Extended Interval Space IR -- Arithmetic Operations in Interval Spaces -- Some Applications of Extended Interval Arithmetic to Interval Iterations -- Foundations of Finite Precision Rational Arithmetic -- Interval Methods for Nonlinear Systems -- Algorithms for Multiplication with Given Precision -- Unrestricted Algorithms for Generating Elementary Functions -- Applications of Software for Automatic Differentiation in Numerical Computation -- Small Bounds for the Solution of Systems of Linear Equations -- Shorthand Notation for Rounding Errors -- Rounding Error Analysis of Elementary Numerical Algorithms -- Iterative Methods in the Spaces of Rounded Computations -- Portable Software for Interval Arithmetic.

Bibliographic Details

Main Authors:	Alefeld, Götz. editor., Grigorieff, Rolf Dieter. editor., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Vienna : Springer Vienna, 1980
Subjects:	Mathematics., Numerical analysis., Numerical Analysis.,
Online Access:	http://dx.doi.org/10.1007/978-3-7091-8577-3
Tags:	Add Tag No Tags, Be the first to tag this record!