Perspectives on enclosure - Ulrich W. Kulisch , R Lohner , A Facius - Librairie Eyrolles
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Perspectives on enclosure

Perspectives on enclosure

Ulrich W. Kulisch, R Lohner, A Facius

346 pages, parution le 01/06/2001

Résumé

Enclosure methods and their applications have been developed to a high standard during the last decades. These methods guarantee the validity of the computed results, this means they are of the same standard as the rest of mathematics. This book deals with a wide variety of aspects of enclosure methods. All contributions follow the common goal to push the limits of enclosure methods forward. Topics that are treated include basic questions of arithmetic, proving conjectures, bounds for Krylow type linear system solvers, bounds for eigenvalues, the wrapping effect, algorithmic differencing, differential equations, finite element methods, application in robotics, and nonsmooth global optimization.

Contents: Proving Conjectures by Use of Interval Arithmetic (Andreas Frommer).- Advanced Arithmetic for the Digital Computer Interval Arithmetic Revisited (Ulrich W. Kulisch).- Highly Accurate Verified Error Bounds for Krylov Type Linear System Solvers (Axel Facius).- Elements of Scientific Computing (J. Hartmut Bleher).- The Mainstreaming of Interval Arithmetic (John L. Gustafson).- Bounds for Eigenvalues with the Use of Finite Elements (Henning Behnke, Ulrich Mertins).- Algorithmic Differencing (Louis B. Rall, Thomas W. Reps).- A Comparison of Techniques for Evaluating Centered Forms (Bruno Lang).- On the Limit of the Total Step Method in Interval Analysis (Günter Mayer, Ingo Warnke).- How Fast can Moore's Interval Integration Method Really be? (Jürgen Herzberger).- Numerical Verification and Validation of Kinematics and Dynamical Models for Flexible Robots in Complex Environments (Wolfram Luther, Eva Dyllong, Daniela Fausten, Werner Otten, Holger Traczinski).- On the Ubiquity of the Wrapping Effect in the Computation of Error Bounds (Rudolf J. Lohner).- A New Perspective on the Wrapping Effect in Interval Methods for Initial Value Problems for Ordinary Differential Equations (Nedialko S. Nedialkov, Kenneth R. Jackson).- A Guaranteed Bound of the Optimal Constant in the Error Estimates for Linear Triangular Elements (Mitsuhiro T. Nakao, Nobito Yamamoto).- Nonsmooth Global Optimization (Dietmar Ratz).

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Ulrich W. Kulisch, R Lohner, A Facius
Parution 01/06/2001
Nb. de pages 346
Format 16,5 x 24,2
Couverture Broché
Poids 678g
Intérieur Noir et Blanc
EAN13 9783211835906

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