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Scientific Computing, Validated Numerics, Interval Methods Book

Scientific Computing, Validated Numerics, Interval Methods
Scientific Computing, Validated Numerics, Interval Methods, , Scientific Computing, Validated Numerics, Interval Methods has a rating of 3.5 stars
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Scientific Computing, Validated Numerics, Interval Methods, , Scientific Computing, Validated Numerics, Interval Methods
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  • Scientific Computing, Validated Numerics, Interval Methods
  • Written by author Walter Kr mer
  • Published by Springer-Verlag New York, LLC, November 1995
  • The symposium continues two series of symposia, one focusing on the numerical and algorithmic aspects of scientific computing with a strong emphasis on validation and verification of computed results as well as on arithmetic, programming, and algorithmic
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Book Categories

Authors

SCAN 2000 Keynote Address: The Future of Intervals1
Variable-Precision Exponential Evaluation19
Fast computation of some special integrals of mathematical physics29
Interval Input and Output41
A Case for Interval Hardware on Superscalar Processors53
Evaluating the Impact of Accurate Branch Prediction on Interval Software69
Automatic Test Case Generation using Interval Arithmetic81
On the Hull of the Solution Sets of Interval Linear Equations91
Computation of Algebraic Solutions to Interval Systems via Systems of Coordinates103
Towards Diagrammatic Analysis of Systems of Interval "Linear Equations"115
On the Solution of Parametrised Linear Systems127
Verified solutions of systems of nonlinear polynomial equations141
Euler-like method with Weierstrass' correction153
Guaranteed Set Computation with Subpavings167
A New Intersection Algorithm for Parametric Surfaces Based on LIEs179
State estimation using interval constraint propagation191
Interval Methods for Global Optimization Using the Boxing Method205
A Branch-and-Prune Method for Global Optimization215
Simulation of a Controlled Aircraft Elevator under Sensor Uncertainties227
Traditional parameter estimation versus estimation of guaranteed parameter sets241
Stabilizing Control Design of Nonlinear Process Involving Uncertainties255
Set Estimation, Computation of Volumes and Data Safety267
Verified High-Order Integration of DAEs and Higher-order ODEs281
About a Finite Dimensional Reduction Method for Conservative Dynamical Systems and its Applications293
Verified Determination of Singularities in Chemical Processes305
Modeling of Multibody Systems with Interval Arithmetic317
On the Algebraic Properties of Stochastic Arithmetic. Comparison to Interval Arithmetic331
Global Random Walk Simulations of Diffusion343
Interval Computations as a Particular Case of a General Scheme Involving Classes of Probability Distributions355
For reliable and powerful scientific computations367
Reliable representations of strange attractors379
App.: The Referees391
Index393


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