Guaranteed Component-wise Point-wise Error Bounds for Approximate Solutions of Nonlinear Two-point Boundary Value Problems Using an Improved Kantorovich-like Theorem PDF Download
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Author: Ying-Da Lee
Publisher:
ISBN:
Category :
Languages : en
Pages : 103
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Author: Ying-Da Lee
Publisher:
ISBN:
Category :
Languages : en
Pages : 103
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Book Description
Author: Ying-Da Lee
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 236
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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 798
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Author: Ramon E. Moore
Publisher: Elsevier
ISBN: 1483277844
Category : Mathematics
Languages : en
Pages : 447
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Book Description
Perspectives in Computing, Vol. 19: Reliability in Computing: The Role of Interval Methods in Scientific Computing presents a survey of the role of interval methods in reliable scientific computing, including vector arithmetic, language description, convergence, and algorithms. The selection takes a look at arithmetic for vector processors, FORTRAN-SC, and reliable expression evaluation in PASCAL-SC. Discussions focus on interval arithmetic, optimal scalar product, matrix and vector arithmetic, transformation of arithmetic expressions, development of FORTRAN-SC, and language description with examples. The text then examines floating-point standards, algorithms for verified inclusions, applications of differentiation arithmetic, and interval acceleration of convergence. The book ponders on solving systems of linear interval equations, interval least squares, existence of solutions and iterations for nonlinear equations, and interval methods for algebraic equations. Topics include interval methods for single equations, diagnosing collinearity, interval linear equations, effects of nonlinearity, and bounding the solutions. The publication is a valuable source of data for computer science experts and researchers interested in the role of interval methods in reliable scientific computing.
Author: Ramon E Moore
Publisher: Elsevier
ISBN: 0857099434
Category : Technology & Engineering
Languages : en
Pages : 193
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Book Description
This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproducing Kernel Hilbert spaces. There is discussion of a successful ''hybrid'' method for difficult real-life problems, with a balance between coverage of linear and non-linear operator equations. The authors successful teaching philosophy: ''We learn by doing'' is reflected throughout the book. - Contains 100 problem-exercises, answers and tutorial hints for students reading applied functional analysis - Introduces interval analysis into the mainstream of computational functional analysis
Author:
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Category : Dissertations, Academic
Languages : en
Pages : 572
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Author:
Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 596
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Book Description
Author: Thomas D. Talbot
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 244
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Book Description
A technique using Newton's Method with interval analysis is developed for computing global error bounds for computed solutions of nonlinear two-point boundary value problems. (Author).
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 890
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Author: Mary Anne McCarthy
Publisher:
ISBN:
Category :
Languages : en
Pages : 43
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Book Description
