Solving some problems of algebra, analysis, and mathematical physics using computer algebra systems (original) (raw)

Interval Computations: Introduction, Uses, and Resources

R. Kearfott

1996

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Algebraic and Numerical Algorithms

Elias Tsigaridas

Chapman & Hall/CRC Applied Algorithms and Data Structures series, 2009

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Interval Mathematics as a Potential Weapon against Uncertainty

Hend Dawood

Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems, 2014

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Postbinary calculations as a machine-assisted realization of real interval calculations

WARSE The World Academy of Research in Science and Engineering

The World Academy of Research in Science and Engineering

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Interval Mathematics Techniques for Control Theory Computations

R. Kearfott

Computation and Control, 1989

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Theories of Interval Arithmetic: Mathematical Foundations and Applications

Hend Dawood

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Numerical Analysis

Astera ab. Jabar

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Interval Arithmetic, Affine Arithmetic, Taylor Series Methods: Why, What Next?

Scott Starks, Vladik Kreinovich

Numerical Algorithms, 2000

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Invisible Mathematics: Numerical Analysis and its Role in Mathematical Application

Anthony F Peressini

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Formal Aspects of Correctness and Optimality of Interval Computations

Regivan Santiago

Formal Aspects of Computing, 2006

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A Parser for the Interval Evaluation of Analytical Functions and its Application to Engineering Problems

Jean-Pierre Merlet

Journal of Symbolic Computation

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Function Interval Arithmetic

Michal Konečný

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Interval Root Finding and Interval Polynomials: Methods and Applications in Science and Engineering

Hend Dawood, Yasser Dawood

Polynomial Paradigms: Trends and Applications in Science and Engineering, 2022

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The theory of the numerical-analytic method: Achievements and new trends of development. II

Sergei Trofimchuk

Ukrainian Mathematical Journal, 1998

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Interval Arithmetic and Computational Science: Performance Considerations

Bill Clarke

Lecture Notes in Computer Science, 2006

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Interval Computations and their

Nikolaj Glazunov

2003

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Non-linear extension of interval arithmetic and exact resolution of interval equations over square regions

Giovanny Andrés

arXiv (Cornell University), 2020

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WAI'96: II Workshop on Computer Arithmetic, Interval and Symbolic Computation

Marcilia Campos

Reliable Computing, 1996

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Numerical Mathematics

Riccardo Sacco

Texts in Applied Mathematics, 2007

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Introduction to Numerical Analysis

Sajid Hussain Karimi

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Verified Real Number Calculations: A Library for Interval Arithmetic

Marc Daumas

Computing Research Repository, 2007

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Computer Algebra Support for the Completed Set of Intervals

Yilmaz Akyildiz

2008

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On some interval methods for algebraic, exponential and trigonometric polynomials

Miodrag S Petkovic

Computing, 1993

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Interval arithmetic: From principles to implementation

Tim Hickey

Journal of the ACM, 2001

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The theory of the numerical-analytic method: Achievements and new trends of development. I

Sergei Trofimchuk

Ukrainian Mathematical Journal, 1998

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Parallel implementation of interval analysis for equations solving

Jean-Pierre Merlet

2003

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Intervals, Syzygies, Numerical Gröbner Bases: A Mixed Study

Alberto Zanoni

Lecture Notes in Computer Science, 2006

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Investigation of the Basic Notions in Numerical Analysis

Istvan Farago

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Ivan A. Mulenko, Alla N. Zhorova, Yurij A. Vyzhol, Alexander L. Khomkin, Andrej I. Onishchenko Application of Methods of Computer Algebra for Doing Physical Sums. Journal of Mathematics Research, Vol.4, N3, 2012

Alla Zhorova

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