Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis)
Springer Wien (Verlag)
978-3-211-81566-3 (ISBN)
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.
Erscheint lt. Verlag | 31.12.1980 |
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Reihe/Serie | Computing Supplementa |
Mitarbeit |
Assistent: R. Albrecht, U. Kulisch, F. Stummel |
Zusatzinfo | VIII, 229 p. |
Verlagsort | Vienna |
Sprache | englisch |
Maße | 170 x 244 mm |
Gewicht | 550 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Schlagworte | algorithms • Approximation • arithmetic • Calculus • Computation • Computer • Construction • differential equation • Equation • Finite • Function • Iteration • multiplication • nonlinear system • Numerical analysis |
ISBN-10 | 3-211-81566-X / 321181566X |
ISBN-13 | 978-3-211-81566-3 / 9783211815663 |
Zustand | Neuware |
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