Computer Algebra in Scientific Computing

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Publisher : Springer
ISBN 13 : 3319022970
Total Pages : 457 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Computer Algebra in Scientific Computing by : Vladimir P. Gerdt

Download or read book Computer Algebra in Scientific Computing written by Vladimir P. Gerdt and published by Springer. This book was released on 2013-08-15 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2013, held in Berlin, Germany, in September 2013. The 33 full papers presented were carefully reviewed and selected for inclusion in this book. The papers address issues such as polynomial algebra; the solution of tropical linear systems and tropical polynomial systems; the theory of matrices; the use of computer algebra for the investigation of various mathematical and applied topics related to ordinary differential equations (ODEs); applications of symbolic computations for solving partial differential equations (PDEs) in mathematical physics; problems arising at the application of computer algebra methods for finding infinitesimal symmetries; applications of symbolic and symbolic-numeric algorithms in mechanics and physics; automatic differentiation; the application of the CAS Mathematica for the simulation of quantum error correction in quantum computing; the application of the CAS GAP for the enumeration of Schur rings over the group A5; constructive computation of zero separation bounds for arithmetic expressions; the parallel implementation of fast Fourier transforms with the aid of the Spiral library generation system; the use of object-oriented languages such as Java or Scala for implementation of categories as type classes; a survey of industrial applications of approximate computer algebra.

Mathematical Aspects of Computer and Information Sciences

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Publisher : Springer
ISBN 13 : 331932859X
Total Pages : 631 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Mathematical Aspects of Computer and Information Sciences by : Ilias S. Kotsireas

Download or read book Mathematical Aspects of Computer and Information Sciences written by Ilias S. Kotsireas and published by Springer. This book was released on 2016-04-16 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015, held in Berlin, Germany, in November 2015. The 48 revised papers presented together with 7 invited papers were carefully reviewed and selected from numerous submissions. The papers are grouped in topical sections on curves and surfaces, applied algebraic geometry, cryptography, verified numerical computation, polynomial system solving, managing massive data, computational theory of differential and difference equations, data and knowledge exploration, algorithm engineering in geometric computing, real complexity: theory and practice, global optimization, and general session.

Computer Algebra in Scientific Computing

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Publisher : Springer
ISBN 13 : 3030268314
Total Pages : 492 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Computer Algebra in Scientific Computing by : Matthew England

Download or read book Computer Algebra in Scientific Computing written by Matthew England and published by Springer. This book was released on 2019-08-15 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 21st International Workshop on Computer Algebra in Scientific Computing, CASC 2019, held in Moscow, Russia, in August 2019. The 28 full papers presented together with 2 invited talks were carefully reviewed and selected from 44 submissions. They deal with cutting-edge research in all major disciplines of computer algebra. The papers cover topics such as polynomial algebra, symbolic and symbolic-numerical computation, applications of symbolic computation for investigating and solving ordinary differential equations, applications of CASs in the investigation and solution of celestial mechanics problems, and in mechanics, physics, and robotics.

SAGA – Advances in ShApes, Geometry, and Algebra

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Publisher : Springer
ISBN 13 : 3319086359
Total Pages : 324 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis SAGA – Advances in ShApes, Geometry, and Algebra by : Tor Dokken

Download or read book SAGA – Advances in ShApes, Geometry, and Algebra written by Tor Dokken and published by Springer. This book was released on 2014-10-24 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes research carried out in workshops of the SAGA project, an Initial Training Network exploring the interplay of Shapes, Algebra, Geometry and Algorithms. Written by a combination of young and experienced researchers, the book introduces new ideas in an established context. Among the central topics are approximate and sparse implicitization and surface parametrization; algebraic tools for geometric computing; algebraic geometry for computer aided design applications and problems with industrial applications. Readers will encounter new methods for the (approximate) transition between the implicit and parametric representation; new algebraic tools for geometric computing; new applications of isogeometric analysis and will gain insight into the emerging research field situated between algebraic geometry and computer aided geometric design.

Automata, Languages, and Programming

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Publisher : Springer
ISBN 13 : 366247672X
Total Pages : 1141 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Automata, Languages, and Programming by : Magnús M. Halldórsson

Download or read book Automata, Languages, and Programming written by Magnús M. Halldórsson and published by Springer. This book was released on 2015-06-19 with total page 1141 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 9134 and LNCS 9135 constitutes the refereed proceedings of the 42nd International Colloquium on Automata, Languages and Programming, ICALP 2015, held in Kyoto, Japan, in July 2015. The 143 revised full papers presented were carefully reviewed and selected from 507 submissions. The papers are organized in the following three tracks: algorithms, complexity, and games; logic, semantics, automata, and theory of programming; and foundations of networked computation: models, algorithms, and information management.

Ordered Algebraic Structures and Related Topics

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Publisher : American Mathematical Soc.
ISBN 13 : 1470429667
Total Pages : 390 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Ordered Algebraic Structures and Related Topics by : Fabrizio Broglia

Download or read book Ordered Algebraic Structures and Related Topics written by Fabrizio Broglia and published by American Mathematical Soc.. This book was released on 2017 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the international conference "Ordered Algebraic Structures and Related Topics", held in October 2015, at CIRM, Luminy, Marseilles. Papers cover topics in real analytic geometry, real algebra, and real algebraic geometry including complexity issues, model theory of various algebraic and differential structures, Witt equivalence of fields, and the moment problem.

Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory

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Publisher : Springer
ISBN 13 : 3319705660
Total Pages : 753 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory by : Gebhard Böckle

Download or read book Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory written by Gebhard Böckle and published by Springer. This book was released on 2018-03-22 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.

Recent Advances in Real Complexity and Computation

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Publisher : American Mathematical Soc.
ISBN 13 : 0821891502
Total Pages : 202 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Advances in Real Complexity and Computation by : Luis M. Pardo

Download or read book Recent Advances in Real Complexity and Computation written by Luis M. Pardo and published by American Mathematical Soc.. This book was released on 2014-11-12 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is composed of six contributions derived from the lectures given during the UIMP-RSME Lluis Santalo Summer School on ``Recent Advances in Real Complexity and Computation'', held July 16-20, 2012, in Santander, Spain. The goal of this Summer School was to present some of the recent advances on Smale's 17th Problem: ``Can a zero of $n$ complex polynomial equations in $n$ unknowns be found approximately, on the average, in polynomial time with a uniform algorithm?'' These papers cover several aspects of this problem: from numerical to symbolic methods in polynomial equation solving, computational complexity aspects (both worse and average cases and both upper and lower complexity bounds) as well as aspects of the underlying geometry of the problem. Some of the contributions also deal with either real or multiple solutions solving.

Deformation of Artinian Algebras and Jordan Type

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Publisher : American Mathematical Society
ISBN 13 : 1470473569
Total Pages : 254 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Deformation of Artinian Algebras and Jordan Type by : Anthony Iarrobino

Download or read book Deformation of Artinian Algebras and Jordan Type written by Anthony Iarrobino and published by American Mathematical Society. This book was released on 2024-09-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS-EMS-SMF Special Session on Deformations of Artinian Algebras and Jordan Type, held July 18?22, 2022, at the Universit‚ Grenoble Alpes, Grenoble, France. Articles included are a survey and open problems on deformations and relation to the Hilbert scheme; a survey of commuting nilpotent matrices and their Jordan type; and a survey of Specht ideals and their perfection in the two-rowed case. Other articles treat topics such as the Jordan type of local Artinian algebras, Waring decompositions of ternary forms, questions about Hessians, a geometric approach to Lefschetz properties, deformations of codimension two local Artin rings using Hilbert-Burch matrices, and parametrization of local Artinian algebras in codimension three. Each of the articles brings new results on the boundary of commutative algebra and algebraic geometry.

Mathematical Geosciences

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Publisher : Springer Nature
ISBN 13 : 3030924955
Total Pages : 733 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Mathematical Geosciences by : Joseph L. Awange

Download or read book Mathematical Geosciences written by Joseph L. Awange and published by Springer Nature. This book was released on 2023-04-07 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Mathematical Geosciences book adds five new topics: Solution equations with uncertainty, which proposes two novel methods for solving nonlinear geodetic equations as stochastic variables when the parameters of these equations have uncertainty characterized by probability distribution. The first method, an algebraic technique, partly employs symbolic computations and is applicable to polynomial systems having different uncertainty distributions of the parameters. The second method, a numerical technique, uses stochastic differential equation in Ito form; Nature Inspired Global Optimization where Meta-heuristic algorithms are based on natural phenomenon such as Particle Swarm Optimization. This approach simulates, e.g., schools of fish or flocks of birds, and is extended through discussion of geodetic applications. Black Hole Algorithm, which is based on the black hole phenomena is added and a new variant of the algorithm code is introduced and illustrated based on examples; The application of the Gröbner Basis to integer programming based on numeric symbolic computation is introduced and illustrated by solving some standard problems; An extension of the applications of integer programming solving phase ambiguity in Global Navigation Satellite Systems (GNSSs) is considered as a global quadratic mixed integer programming task, which can be transformed into a pure integer problem with a given digit of accuracy. Three alternative algorithms are suggested, two of which are based on local and global linearization via McCormic Envelopes; and Machine learning techniques (MLT) that offer effective tools for stochastic process modelling. The Stochastic Modelling section is extended by the stochastic modelling via MLT and their effectiveness is compared with that of the modelling via stochastic differential equations (SDE). Mixing MLT with SDE also known as frequently Neural Differential Equations is also introduced and illustrated by an image classification via a regression problem.

Applications of Computer Algebra

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Publisher : Springer
ISBN 13 : 3319569325
Total Pages : 513 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Applications of Computer Algebra by : Ilias S. Kotsireas

Download or read book Applications of Computer Algebra written by Ilias S. Kotsireas and published by Springer. This book was released on 2017-07-26 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Applications of Computer Algebra (ACA) conference covers a wide range of topics from Coding Theory to Differential Algebra to Quantam Computing, focusing on the interactions of these and other areas with the discipline of Computer Algebra. This volume provides the latest developments in the field as well as its applications in various domains, including communications, modelling, and theoretical physics. The book will appeal to researchers and professors of computer algebra, applied mathematics, and computer science, as well as to engineers and computer scientists engaged in research and development.

The Fundamental Research for Trustworthy Software

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Publisher : Springer Nature
ISBN 13 : 9819955890
Total Pages : 91 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis The Fundamental Research for Trustworthy Software by : Jifeng He

Download or read book The Fundamental Research for Trustworthy Software written by Jifeng He and published by Springer Nature. This book was released on 2024-02-01 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book mainly introduces the research overview, results, and achievements of “The Fundamental Research for Trustworthy Software”, a major research plan of NSFC. The Plan focuses on four key scientific issues: (i) measurement and modeling of software trustworthiness; (ii) construction and verification of trustworthy software; (iii) evolution and control of trustworthy software; (iv) trusted environment construction and evaluation. This book aims to establish a research framework for fundamental research on trustworthy software by focusing on the trustworthiness of embedded software and network application software, as well as the trustworthiness of software in key application fields in China. This book is intended for researchers who have been following the evolution of and trends in the trustworthy software; the book is also a valuable reference resource for practitioners and scholars at various levels and in various fields.

Intelligent Computation in Big Data Era

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Publisher : Springer
ISBN 13 : 3662462486
Total Pages : 517 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Intelligent Computation in Big Data Era by : Hongzhi Wang

Download or read book Intelligent Computation in Big Data Era written by Hongzhi Wang and published by Springer. This book was released on 2014-12-29 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Conference of Young Computer Scientists, Engineers and Educators, ICYCSEE 2015, held in Harbin, China, in January 2015. The 61 revised full papers presented were carefully reviewed and selected from 200 submissions. The papers cover a wide range of topics related to intelligent computation in Big Data era, such as artificial intelligence, machine learning, algorithms, natural language processing, image processing, MapReduce, social network.

Frontiers in Algorithmics

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Publisher : Springer
ISBN 13 : 3319196472
Total Pages : 343 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Frontiers in Algorithmics by : Jianxin Wang

Download or read book Frontiers in Algorithmics written by Jianxin Wang and published by Springer. This book was released on 2015-06-26 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 9th International Workshop on Frontiers in Algorithmics, FAW 2015, held in Guilin, China, in July 2015. The 28 papers presented in this volume were carefully reviewed and selected from 65 submissions. They deal with graph algorithms, approximation algorithms, combinatorial optimization, parameterized algorithms, and online algorithms.

Groups St Andrews 2009 in Bath: Volume 1

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Publisher : Cambridge University Press
ISBN 13 : 1139498274
Total Pages : 310 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Groups St Andrews 2009 in Bath: Volume 1 by : C. M. Campbell

Download or read book Groups St Andrews 2009 in Bath: Volume 1 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2011-06-16 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume of a two-volume book contains selected papers from the international conference Groups St Andrews 2009. Leading researchers in their respective areas, including Gerhard Hiss and Volodymyr Nekrashevych, survey the latest developments in algebra.

Algebraic Complexity Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662033380
Total Pages : 630 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Algebraic Complexity Theory by : Peter Bürgisser

Download or read book Algebraic Complexity Theory written by Peter Bürgisser and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion of algorithm. It is only in this century that metamathematical problems have led to the intensive search for a precise and sufficiently general formalization of the notions of computability and algorithm. In the 1930s, a number of quite different concepts for this purpose were pro posed, such as Turing machines, WHILE-programs, recursive functions, Markov algorithms, and Thue systems. All these concepts turned out to be equivalent, a fact summarized in Church's thesis, which says that the resulting definitions form an adequate formalization of the intuitive notion of computability. This had and continues to have an enormous effect. First of all, with these notions it has been possible to prove that various problems are algorithmically unsolvable. Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem. Secondly, concepts like Turing machines and WHILE-programs had a strong influence on the development of the first computers and programming languages. In the era of digital computers, the question of finding efficient solutions to algorithmically solvable problems has become increasingly important. In addition, the fact that some problems can be solved very efficiently, while others seem to defy all attempts to find an efficient solution, has called for a deeper under standing of the intrinsic computational difficulty of problems.

An Introduction to Grobner Bases

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821872161
Total Pages : 308 pages
Book Rating : 4.8/5 (721 download)

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Book Synopsis An Introduction to Grobner Bases by : William W. Adams and Philippe Loustaunau

Download or read book An Introduction to Grobner Bases written by William W. Adams and Philippe Loustaunau and published by American Mathematical Soc.. This book was released on 1994-07-21 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: A very carefully crafted introduction to the theory and some of the applications of Grobner bases ... contains a wealth of illustrative examples and a wide variety of useful exercises, the discussion is everywhere well-motivated, and further developments and important issues are well sign-posted ... has many solid virtues and is an ideal text for beginners in the subject ... certainly an excellent text. --Bulletin of the London Mathematical Society As the primary tool for doing explicit computations in polynomial rings in many variables, Grobner bases are an important component of all computer algebra systems. They are also important in computational commutative algebra and algebraic geometry. This book provides a leisurely and fairly comprehensive introduction to Grobner bases and their applications. Adams and Loustaunau cover the following topics: the theory and construction of Grobner bases for polynomials with coefficients in a field, applications of Grobner bases to computational problems involving rings of polynomials in many variables, a method for computing syzygy modules and Grobner bases in modules, and the theory of Grobner bases for polynomials with coefficients in rings. With over 120 worked-out examples and 200 exercises, this book is aimed at advanced undergraduate and graduate students. It would be suitable as a supplement to a course in commutative algebra or as a textbook for a course in computer algebra or computational commutative algebra. This book would also be appropriate for students of computer science and engineering who have some acquaintance with modern algebra.