Skip to content

Scientific Computing, Validated Numerics, Interval Methods

Best in textbook rentals since 2012!

ISBN-10: 0306467062

ISBN-13: 9780306467066

Edition: 2001

Authors: Walter Kr�mer, J�rgen Wolff von Gudenberg

List price: $169.99
Blue ribbon 30 day, 100% satisfaction guarantee!
what's this?
Rush Rewards U
Members Receive:
Carrot Coin icon
XP icon
You have reached 400 XP and carrot coins. That is the daily max!

Description:

The papers in this book discuss a wide variety of serious applications of all parts of mathematical modelling. New efficient, publicly available or even commercial tools are proposed or presented, and also foundations of the theory of intervals and reliable computations were considerably strengthened. They are concerned not only with applications of well known enclosure methods or the development of new-self validating algorithms, but also transfer the mechanisms and design process known from these areas to other fields. The 31 contributions to this proceedings volume were carefully selected from a much larger number of submissions.
Customers also bought

Book details

List price: $169.99
Copyright year: 2001
Publisher: Springer
Publication date: 12/31/2001
Binding: Hardcover
Pages: 398
Size: 7.01" wide x 10.00" long x 1.25" tall
Weight: 4.840
Language: English

SCAN 2000 Keynote Address The Future of Intervals
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
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
Polynomials
Verified solutions of systems of nonlinear polynomial equations
Euler-like method with Weierstrass' correction
Set Enclosures
Guaranteed Set Computation with Subpavings
A New Intersection Algorithm for Parametric Surfaces Based on LIEs
State estimation using interval constraint propagation
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
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
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 Interval Arithmetic
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
The Referees
Index