Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis): (Computer-Orientated Numerical Analysis) (Computing Supplementa, 2, Band 2) - Softcover

Alefeld, G.

 
9783211815663: Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis): (Computer-Orientated Numerical Analysis) (Computing Supplementa, 2, Band 2)

Inhaltsangabe

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.

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ISBN 10:  038781566X ISBN 13:  9780387815664
Hardcover