Numerical Computations Theory And Algorithms

Author : Yaroslav D. Sergeyev,Dmitri E. Kvasov,Francesco Dell'Accio
Publisher : Luigi Pellegrini Editore
Page : 153 pages
File Size : 53,6 Mb
Release : 2013-06-27
Category : Mathematics
ISBN : 9788868220334

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Proceedings of the international conference "“NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS” by Yaroslav D. Sergeyev,Dmitri E. Kvasov,Francesco Dell'Accio Pdf

This book contains Proceedings of the International Conference and Summer School NUMTA-2013 “Numerical Computations: Theory and Algorithms”. The Conference is organized jointly by the University of Calabria, Italy, and by the N.I. Lobachevsky State University of Nizhni Novgorod, Russia in cooperation with the Society for Industrial and Applied Mathematics (SIAM), USA. The goal of the Conference is to create a multidisciplinary round table for an open discussion on numerical modeling nature by using traditional and emerging computational paradigms. The Conference discusses all aspects of numerical computations and modeling from foundations and philosophy to advanced numerical techniques. New technological challenges and fundamental ideas from theoretical computer science, linguistic, logic, set theory, and philosophy meet requirements and new fresh applications from physics, chemistry, biology, and economy.

Author : Yaroslav D. Sergeyev,Dmitri E. Kvasov
Publisher : Springer Nature
Page : 550 pages
File Size : 55,6 Mb
Release : 2020-02-13
Category : Computers
ISBN : 9783030406165

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Numerical Computations: Theory and Algorithms by Yaroslav D. Sergeyev,Dmitri E. Kvasov Pdf

The two-volume set LNCS 11973 and 11974 constitute revised selected papers from the Third International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2019, held in Crotone, Italy, in June 2019. This volume, LNCS 11974, consists of 19 full and 32 short papers chosen among regular papers presented at the the Conference including also the paper of the winner (Lorenzo Fiaschi, Pisa, Italy) of The Springer Young Researcher Prize for the best NUMTA 2019 presentation made by a young scientist. The papers in part II explore the advanced research developments in such interconnected fields as local and global optimization, machine learning, approximation, and differential equations. A special focus is given to advanced ideas related to methods and applications using emerging computational paradigms.

Author : Yaroslav D. Sergeyev,Dmitri E. Kvasov
Publisher : Springer Nature
Page : 634 pages
File Size : 51,8 Mb
Release : 2020-02-13
Category : Computers
ISBN : 9783030390815

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Numerical Computations: Theory and Algorithms by Yaroslav D. Sergeyev,Dmitri E. Kvasov Pdf

The two-volume set LNCS 11973 and 11974 constitute revised selected papers from the Third International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2019, held in Crotone, Italy, in June 2019. This volume, LNCS 11973, consists of 34 full and 18 short papers chosen among papers presented at special streams and sessions of the Conference. The papers in part I were organized following the topics of these special sessions: approximation: methods, algorithms, and applications; computational methods for data analysis; first order methods in optimization: theory and applications; high performance computing in modelling and simulation; numbers, algorithms, and applications; optimization and management of water supply.

Author : Yaroslav D. Sergeyev,Dmitri E. Kvasov,Francesco Dell'Accio
Publisher : Unknown
Page : 152 pages
File Size : 45,9 Mb
Release : 2013
Category : Mathematics
ISBN : 8868220326

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Proceeding of the International Conference «numerical Computations: Theory and Algorithms» by Yaroslav D. Sergeyev,Dmitri E. Kvasov,Francesco Dell'Accio Pdf

Author : Yaroslav D. Sergeyev,Dmitri E. Kvasov
Publisher : Springer
Page : 622 pages
File Size : 45,6 Mb
Release : 2020-02-14
Category : Computers
ISBN : 3030390802

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Numerical Computations: Theory and Algorithms by Yaroslav D. Sergeyev,Dmitri E. Kvasov Pdf

The two-volume set LNCS 11973 and 11974 constitute revised selected papers from the Third International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2019, held in Crotone, Italy, in June 2019. This volume, LNCS 11973, consists of 34 full and 18 short papers chosen among papers presented at special streams and sessions of the Conference. The papers in part I were organized following the topics of these special sessions: approximation: methods, algorithms, and applications; computational methods for data analysis; first order methods in optimization: theory and applications; high performance computing in modelling and simulation; numbers, algorithms, and applications; optimization and management of water supply.

Author : Justin Solomon
Publisher : CRC Press
Page : 400 pages
File Size : 41,6 Mb
Release : 2015-06-24
Category : Computers
ISBN : 9781482251890

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Numerical Algorithms by Justin Solomon Pdf

Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

Author : Santanu Saha Ray
Publisher : CRC Press
Page : 391 pages
File Size : 46,5 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781498741835

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Numerical Analysis with Algorithms and Programming by Santanu Saha Ray Pdf

Numerical Analysis with Algorithms and Programming is the first comprehensive textbook to provide detailed coverage of numerical methods, their algorithms, and corresponding computer programs. It presents many techniques for the efficient numerical solution of problems in science and engineering. Along with numerous worked-out examples, end-of-chapter exercises, and Mathematica® programs, the book includes the standard algorithms for numerical computation: Root finding for nonlinear equations Interpolation and approximation of functions by simpler computational building blocks, such as polynomials and splines The solution of systems of linear equations and triangularization Approximation of functions and least square approximation Numerical differentiation and divided differences Numerical quadrature and integration Numerical solutions of ordinary differential equations (ODEs) and boundary value problems Numerical solution of partial differential equations (PDEs) The text develops students’ understanding of the construction of numerical algorithms and the applicability of the methods. By thoroughly studying the algorithms, students will discover how various methods provide accuracy, efficiency, scalability, and stability for large-scale systems.

Author : James S. Vandergraft
Publisher : Academic Press
Page : 389 pages
File Size : 55,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483267098

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Introduction to Numerical Computations by James S. Vandergraft Pdf

Computer Science and Applied Mathematics: Introduction to Numerical Computations, Second Edition introduces numerical algorithms as they are used in practice. This edition covers the usual topics contained in introductory numerical analysis textbooks that include all of the well-known and most frequently used algorithms for interpolation and approximation, numerical differentiation and integration, solution of linear systems and nonlinear equations, and solving ordinary differential equations. A complete discussion of computer arithmetic, problems that arise in the computer evaluation of functions, and cubic spline interpolation are also provided. This text likewise discusses the Newton formulas for interpolation and adaptive methods for integration. The level of this book is suitable for advanced undergraduate students and readers with elementary mathematical background.

Author : Yaroslav D. Sergeyev,Dmitri E. Kvasov,Francesco Dell'Accio,Marat S. Mukhametzhanov
Publisher : Unknown
Page : 128 pages
File Size : 55,6 Mb
Release : 2016
Category : Numerical analysis
ISBN : 0735414386

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Numerical Computations: Theory and Algorithms (NUMTA--2016) by Yaroslav D. Sergeyev,Dmitri E. Kvasov,Francesco Dell'Accio,Marat S. Mukhametzhanov Pdf

Author : A. Sukharev
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9789401127592

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Minimax Models in the Theory of Numerical Methods by A. Sukharev Pdf

In the Russian edition published in 1989, this book was called "Minimax Algorithms in Problems of Numerical Analysis". The new title is better related to the subject of the book and its style. The basis for every decision or inference concerning the ways to solve a given problem is the computa tion model. Thus, the computation model is the epicenter of any structure studied in the book. Algorithms are not constructed here, they are rather derived from computation models. Quality of an algorithm depends entirely on consistency of the model with the real-life problem. So, constructing a model is an art, deriving an algorithm is a science. We study only minimax or, in other words, worst-case computation models. However, one of the characteristic features of the book is a new approach to the notion of the worst-case conditions in dynamic processes. This approach leads to the concept of sequentially optimal algorithms, which play the central role in the book. In conclusion, I would like to express my gratitude to Prof. Dr. Heinz J. Skala and Dr. Sergei A. Orlovsky for encouraging translation of this book. I also greatly appreciate the highly professional job of Dr. Olga R. Chuyan who translated the book.

Author : Amit Bhaya,Eugenius Kaszkurewicz
Publisher : SIAM
Page : 297 pages
File Size : 49,9 Mb
Release : 2006-01-01
Category : Mathematics
ISBN : 089871866X

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Control Perspectives on Numerical Algorithms and Matrix Problems by Amit Bhaya,Eugenius Kaszkurewicz Pdf

Control Perspectives on Numerical Algorithms and Matrix Problems organizes the analysis and design of iterative numerical methods from a control perspective. The authors discuss a variety of applications, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems, support vector machines, integration and shooting methods for ordinary differential equations, matrix preconditioning, matrix stability, and polynomial zero finding. This book opens up a new field of interdisciplinary research that should lead to insights in the areas of both control and numerical analysis and shows that a wide range of applications can be approached from, and benefit from, a control perspective.

Author : Tobin A. Driscoll,Richard J. Braun
Publisher : SIAM
Page : 583 pages
File Size : 49,5 Mb
Release : 2017-12-21
Category : Science
ISBN : 9781611975086

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Fundamentals of Numerical Computation by Tobin A. Driscoll,Richard J. Braun Pdf

Fundamentals of Numerical Computation?is an advanced undergraduate-level introduction to the mathematics and use of algorithms for the fundamental problems of numerical computation: linear algebra, finding roots, approximating data and functions, and solving differential equations. The book is organized with simpler methods in the first half and more advanced methods in the second half, allowing use for either a single course or a sequence of two courses. The authors take readers from basic to advanced methods, illustrating them with over 200 self-contained MATLAB functions and examples designed for those with no prior MATLAB experience. Although the text provides many examples, exercises, and illustrations, the aim of the authors is not to provide a cookbook per se, but rather an exploration of the principles of cooking. The authors have developed an online resource that includes well-tested materials related to every chapter. Among these materials are lecture-related slides and videos, ideas for student projects, laboratory exercises, computational examples and scripts, and all the functions presented in the book. The book is intended for advanced undergraduates in math, applied math, engineering, or science disciplines, as well as for researchers and professionals looking for an introduction to a subject they missed or overlooked in their education.?

Author : Karim Belabas,Henri Cohen
Publisher : American Mathematical Soc.
Page : 429 pages
File Size : 40,5 Mb
Release : 2021-06-23
Category : Education
ISBN : 9781470463519

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Numerical Algorithms for Number Theory: Using Pari/GP by Karim Belabas,Henri Cohen Pdf

This book presents multiprecision algorithms used in number theory and elsewhere, such as extrapolation, numerical integration, numerical summation (including multiple zeta values and the Riemann-Siegel formula), evaluation and speed of convergence of continued fractions, Euler products and Euler sums, inverse Mellin transforms, and complex L L-functions. For each task, many algorithms are presented, such as Gaussian and doubly-exponential integration, Euler-MacLaurin, Abel-Plana, Lagrange, and Monien summation. Each algorithm is given in detail, together with a complete implementation in the free Pari/GP system. These implementations serve both to make even more precise the inner workings of the algorithms, and to gently introduce advanced features of the Pari/GP language. This book will be appreciated by anyone interested in number theory, specifically in practical implementations, computer experiments and numerical algorithms that can be scaled to produce thousands of digits of accuracy.

Author : Nicholas J. Higham
Publisher : SIAM
Page : 710 pages
File Size : 44,5 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 0898718023

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Accuracy and Stability of Numerical Algorithms by Nicholas J. Higham Pdf

Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.

Author : Bruce R. Donald,Deepak Kapur,Joseph L. Mundy
Publisher : Unknown
Page : 392 pages
File Size : 46,9 Mb
Release : 1992
Category : Computers
ISBN : UOM:39015028453804

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Symbolic and Numerical Computation for Artificial Intelligence by Bruce R. Donald,Deepak Kapur,Joseph L. Mundy Pdf

Over the last decade, there has been considerable progress in investigating methods of symbolic mathematics in many application areas of computer science and artifical intelligence, such as engineering design, solid and geometric modelling, robotics and motion planning, and machine vision. This research has produced few applications within engineering and robotics because of the combinatorial cost of symbolic techniques. Therefore, it is essential to investigate approaches for systematic integration of symbolic with numerical techniques which are efficient for handling the huge amount of data that arises in practical applications, while at the same time maintain a logically consistent solution framework. Symbolic and Numerical Computation for Artificial Intelligence gives an overview of applications in machine vision, robotics and engineering design where there is a need for integrating symbolic and numerical methods. It also illustrates the case for an integrated symbolic and numerical environment to support the needs of these applications. This book will be essential reading for researchers in applied mathematics, symbolic and algebraic manipulation, and applied artificial intell