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Author:   Walter Krämer ,  Jürgen Wolff von Gudenberg
Publisher:   Springer Science+Business Media
Imprint:   Kluwer Academic/Plenum Publishers
Edition:   2001 ed.
Dimensions:   Width: 17.80cm , Height: 3.60cm , Length: 25.40cm
Weight:   2.200kg
ISBN:  

9780306467066

ISBN 10:   0306467062
Pages:   398
Publication Date:   31 December 2001
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

SCAN 2000 Keynote Address The Future of Intervals.- I Software- and Hardware-Tools.- Variable-Precision Exponential Evaluation.- Fast computation of some special integrals of mathematical physics.- Interval Input and Output.- A Case for Interval Hardware on Superscalar Processors.- Evaluating the Impact of Accurate Branch Prediction on Interval Software.- Automatic Test Case Generation using Interval Arithmetic.- II Linear Algebra.- On the Hull of the Solution Sets of Interval Linear Equations.- Computation of Algebraic Solutions to Interval Systems via Systems of Coordinates.- Towards Diagrammatic Analysis of Systems of Interval “Linear Equations”.- On the Solution of Parametrised Linear Systems.- III Polynomials.- Verified solutions of systems of nonlinear polynomial equations.- Euler-like method with Weierstrass’ correction.- IV Set Enclosures.- Guaranteed Set Computation with Subpavings.- A New Intersection Algorithm for Parametric Surfaces Based on LIEs.- State estimation using interval constraint propagation.- V Global Optimization.- Interval Methods for Global Optimization Using the Boxing Method.- A Branch-and-Prune Method for Global Optimization.- Simulation of a Controlled Aircraft Elevator under Sensor Uncertainties.- VI Control.- Traditional parameter estimation versus estimation of guaranteed parameter sets.- Stabilizing Control Design of Nonlinear Process Involving Uncertainties.- Set Estimation, Computation of Volumes and Data Safety.- VII ODE and DAE and Applications.- Verified High-Order Integration of DAEs and Higher-order ODEs.- About a Finite Dimensional Reduction Method for Conservative Dynamical Systems and its Applications.- Verified Determination of Singularities in Chemical Processes.- Modeling of Multibody Systems with IntervalArithmetic.- VIII Stochastics and Probability.- On the Algebraic Properties of Stochastic Arithmetic. Comparison to Interval Arithmetic.- Global Random Walk Simulations of Diffusion.- Interval Computations as a Particular Case of a General Scheme Involving Classes of Probability Distributions.- For reliable and powerful scientific computations.- Reliable representations of strange attractors.- Appendix: The Referees.

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