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Back to Books on Interval ComputationsKluwer Academic Publishers, Boston/Dordrecht/London, 2001
Preface xi SCAN 2000 Keynote Address The Future of Intervals 1 G. William Walster
Variable-Precision Exponential Evaluation Javier Hormigo, Julio Villalba, and Michael J. Schulte 19 Fast computation of some special integrals of mathematical physics Ekatherina A. Karatsuba 29 Interval Input and Output Eero Hyvoenen 41 A Case for Interval Hardware on Superscalar Processors James E. Stine and Michael J. Schulte 53 Evaluating the Impact of Accurate Branch Prediction on Interval Software Ahmet Akkas, Michael J. Schulte, and James E. Stine 69 Automatic Test Case Generation using Interval Arithmetic Guenter Schumacher and Armin Bantle 81
On the Hull of the Solution Sets of Interval Linear Equations Jana Konickova 91 Computation of Algebraic Solutions to Interval Systems via Systems of Coordinates Svetoslav Markov 103 Towards Diagrammatic Analysis of Systems of Interval "Linear Equations" Zenon Kulpa 115 On the Solution of Parametrised Linear Systems Evgenija D. Popova 127
Verified Solutions of Systems of Nonlinear Polynomial Equations 141 Daniela Fausten and Wolfram Luther 141 Euler-Like Method with Weierstrass' Correction Miodrag S. Petkovic and Dejan V. Vranic 153
Guaranteed Set Computation with Subpavings Michel Kieffer, Isabelle Braems, Eric Walter, and Luc Jaulin 167 A New Intersection Algorithm for Parametric Surfaces Based on LIEs Katja Buehler and Wilhelm Barth 179 State Estimation Using Interval Constraint Propagation Luc Jaulin, Isabelle Braems, Michel Kieffer, and Eric Walter 191
Interval Methods for Global Optimization Using the Boxing Method Andras Erik Csallner, Rudi Klatte, Dietmar Ratz, and Andreas Wiethoff 205 A Branch-and-Prune Method for Global Optimization Dimitris G. Sotiropoulos and Theodoula N. Grapsa 215 Simulation of a Controlled Aircraft Elevator under Sensor Uncertainties Juergen Heeks, Eberhard P. Hofer, Bernd Tibken, Karin Lunde, and Klaus Thorwart 227
Traditional Parameter Estimation Versus Estimation of Guaranteed Parameter Sets Eberhard P. Hofer, Bernd Tibken, and Milan Vlach 241 Stabilizing Control Design of Nonlinear Process Involving Uncertainties Mikhail Krastanov and Neli Dimitrova 255 Set Estimation, Computation of Volumes and Data Safety Isabelle Braems, Michel Kieffer, Eric Walter, and Luc Jaulin 267
Verified High-Order Integration of DAEs and Higher-Order ODEs Jens Hoefkens, Martin Berz, and Kyoko Makino 281 About a Finite Dimensional Reduction Method for Conservative Dynamical Systems and its Applications Anatoliy Prykarpatsky, Stanislaw Brzychczy, and V. Samoylenko 293 Verified Determination of Singularities in Chemical Processes Christian H. Bischof, Bruno Lang, Wolfgang Marquardt, and Martin Moennigmann 305 Modeling of Multibody Systems with Interval Arithmetic Christian Hoersken and Holger Traczinski 317
On the Algebraic Properties of Stochastic Arithmetic. Comparison to Interval Arithmetic Rene Alt and Svetoslav Markov 331 Global Random Walk Simulations of Diffusion Calin Vamos, Nicolae Suciu, Harry Vereecken, Olaf Nitzsche, and Horst Hardelauf 343 Interval Computations as a Particular Case of a General Scheme Involving Classes of Probability Distributions Scott Ferson, Lev Ginzburg, Vladik Kreinovich, and Harry Schulte 355 For Reliable and Powerful Scientific Computations Fabienne Jezequel and Jean-Marie Chesneaux 367 Reliable Representations of Strange Attractors Dominique Michelucci 379
The Referees 391