Computational And Analytical Mathematics

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Computational and Analytical Mathematics

David H. Bailey,Heinz H. Bauschke,Peter Borwein,Frank Garvan,Michel Théra,Jon D. Vanderwerff,Henry Wolkowicz
Computational and Analytical Mathematics Book PDF

Author : David H. Bailey,Heinz H. Bauschke,Peter Borwein,Frank Garvan,Michel Théra,Jon D. Vanderwerff,Henry Wolkowicz
Publisher : Springer Science & Business Media
Page : 701 pages
File Size : 41,6 Mb
Release : 2013-09-15
Category : Mathematics
ISBN : 9781461476214

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Computational and Analytical Mathematics by David H. Bailey,Heinz H. Bauschke,Peter Borwein,Frank Garvan,Michel Théra,Jon D. Vanderwerff,Henry Wolkowicz Pdf

The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Jonathan Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980-1999. He has served the Canadian Mathematics Community through his presidency (2000–02) as well as his 15 years of editing the CMS book series. Jonathan Borwein’s vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle. The workshops that were held over the years in Dr. Borwein’s honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop on ‘Computational and Analytical Mathematics’ held in May 2011 in celebration of Dr. Borwein’s 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.

Computational Mathematics and Variational Analysis

Nicholas J. Daras,Themistocles M. Rassias
Computational Mathematics and Variational Analysis Book PDF

Author : Nicholas J. Daras,Themistocles M. Rassias
Publisher : Springer Nature
Page : 564 pages
File Size : 53,7 Mb
Release : 2020-06-06
Category : Mathematics
ISBN : 9783030446253

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Computational Mathematics and Variational Analysis by Nicholas J. Daras,Themistocles M. Rassias Pdf

This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics. Readers conducting research in mathematics, engineering, physics, and economics will benefit from the diversity of topics covered. Contributions from an international community treat the following subjects: calculus of variations, optimization theory, operations research, game theory, differential equations, functional analysis, operator theory, approximation theory, numerical analysis, asymptotic analysis, and engineering. Specific topics include algorithms for difference of monotone operators, variational inequalities in semi-inner product spaces, function variation principles and normed minimizers, equilibria of parametrized N-player nonlinear games, multi-symplectic numerical schemes for differential equations, time-delay multi-agent systems, computational methods in non-linear design of experiments, unsupervised stochastic learning, asymptotic statistical results, global-local transformation, scattering relations of elastic waves, generalized Ostrowski and trapezoid type rules, numerical approximation, Szász Durrmeyer operators and approximation, integral inequalities, behaviour of the solutions of functional equations, functional inequalities in complex Banach spaces, functional contractions in metric spaces.

Encyclopedia of Applied and Computational Mathematics

Björn Engquist
Encyclopedia of Applied and Computational Mathematics Book PDF

Author : Björn Engquist
Publisher : Springer
Page : 0 pages
File Size : 43,5 Mb
Release : 2015-11-12
Category : Mathematics
ISBN : 3540705287

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Encyclopedia of Applied and Computational Mathematics by Björn Engquist Pdf

EACM is a comprehensive reference work covering the vast field of applied and computational mathematics. Applied mathematics itself accounts for at least 60 per cent of mathematics, and the emphasis on computation reflects the current and constantly growing importance of computational methods in all areas of applications. EACM emphasizes the strong links of applied mathematics with major areas of science, such as physics, chemistry, biology, and computer science, as well as specific fields like atmospheric ocean science. In addition, the mathematical input to modern engineering and technology form another core component of EACM.

Handbook of Analytic Computational Methods in Applied Mathematics

George Anastassiou
Handbook of Analytic Computational Methods in Applied Mathematics Book PDF

Author : George Anastassiou
Publisher : CRC Press
Page : 1056 pages
File Size : 48,5 Mb
Release : 2019-06-03
Category : Mathematics
ISBN : 142003605X

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Handbook of Analytic Computational Methods in Applied Mathematics by George Anastassiou Pdf

Working computationally in applied mathematics is the very essence of dealing with real-world problems in science and engineering. Approximation theory-on the borderline between pure and applied mathematics- has always supplied some of the most innovative ideas, computational methods, and original approaches to many types of problems. The f

Computational Mathematics

Robert E. White
Computational Mathematics Book PDF

Author : Robert E. White
Publisher : CRC Press
Page : 403 pages
File Size : 42,6 Mb
Release : 2003-09-17
Category : Mathematics
ISBN : 9781135440329

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Computational Mathematics by Robert E. White Pdf

Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the ensuing results. These chapters include an abundance of MATLAB code. By studying the code instead of using it as a "black box, " you take the first step toward more sophisticated numerical modeling. The last four chapters focus on multiprocessing algorithms implemented using message passing interface (MPI). These chapters include Fortran 9x codes that illustrate the basic MPI subroutines and revisit the applications of the previous chapters from a parallel implementation perspective. All of the codes are available for download from www4.ncsu.edu./~white. This book is not just about math, not just about computing, and not just about applications, but about all three--in other words, computational science. Whether used as an undergraduate textbook, for self-study, or for reference, it builds the foundation you need to make numerical modeling and simulation integral parts of your investigational toolbox.

Analytical and Computational Methods of Advanced Engineering Mathematics

Grant B. Gustafson,Calvin H. Wilcox
Analytical and Computational Methods of Advanced Engineering Mathematics Book PDF

Author : Grant B. Gustafson,Calvin H. Wilcox
Publisher : Springer Science & Business Media
Page : 754 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461206330

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Analytical and Computational Methods of Advanced Engineering Mathematics by Grant B. Gustafson,Calvin H. Wilcox Pdf

This book focuses on the topics which provide the foundation for practicing engineering mathematics: ordinary differential equations, vector calculus, linear algebra and partial differential equations. Destined to become the definitive work in the field, the book uses a practical engineering approach based upon solving equations and incorporates computational techniques throughout.

Computational and Analytic Methods in Science and Engineering

Christian Constanda
Computational and Analytic Methods in Science and Engineering Book PDF

Author : Christian Constanda
Publisher : Springer Nature
Page : 261 pages
File Size : 45,8 Mb
Release : 2020-07-07
Category : Computers
ISBN : 9783030481865

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Computational and Analytic Methods in Science and Engineering by Christian Constanda Pdf

This contributed volume collects papers presented at a special session of the conference Computational and Mathematical Methods in Science and Engineering (CMMSE) held in Cadiz, Spain from June 30 - July 6, 2019. Covering the applications of integral methods to scientific developments in a variety of fields, ranging from pure analysis to petroleum engineering, the chapters in this volume present new results in both pure and applied mathematics. Written by well-known researchers in their respective disciplines, each chapter shares a common methodology based on a combination of analytic and computational tools. This approach makes the collection a valuable, multidisciplinary reference on how mathematics can be applied to various real-world processes and phenomena. Computational and Analytic Methods in Science and Engineering will be ideal for applied mathematicians, physicists, and research engineers.

Introduction to Computational Mathematics

Xin-She Yang
Introduction to Computational Mathematics Book PDF

Author : Xin-She Yang
Publisher : World Scientific Publishing Company
Page : 344 pages
File Size : 50,6 Mb
Release : 2014-11-26
Category : Mathematics
ISBN : 9789814635806

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Introduction to Computational Mathematics by Xin-She Yang Pdf

This unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithm, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting to data modelling, bio-inspired algorithms and swarm intelligence. This book is especially suitable for both undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence and engineering optimization. Thus, it can be used as a textbook and/or reference book.

Computational Mathematics, Numerical Analysis and Applications

Mariano Mateos,Pedro Alonso
Computational Mathematics Numerical Analysis and Applications Book PDF

Author : Mariano Mateos,Pedro Alonso
Publisher : Springer
Page : 254 pages
File Size : 49,6 Mb
Release : 2017-08-03
Category : Mathematics
ISBN : 9783319496313

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Computational Mathematics, Numerical Analysis and Applications by Mariano Mateos,Pedro Alonso Pdf

The first part of this volume gathers the lecture notes of the courses of the “XVII Escuela Hispano-Francesa”, held in Gijón, Spain, in June 2016. Each chapter is devoted to an advanced topic and presents state-of-the-art research in a didactic and self-contained way. Young researchers will find a complete guide to beginning advanced work in fields such as High Performance Computing, Numerical Linear Algebra, Optimal Control of Partial Differential Equations and Quantum Mechanics Simulation, while experts in these areas will find a comprehensive reference guide, including some previously unpublished results, and teachers may find these chapters useful as textbooks in graduate courses. The second part features the extended abstracts of selected research work presented by the students during the School. It highlights new results and applications in Computational Algebra, Fluid Mechanics, Chemical Kinetics and Biomedicine, among others, offering interested researchers a convenient reference guide to these latest advances.

Intelligent Mathematics: Computational Analysis

George A. Anastassiou
Intelligent Mathematics Computational Analysis Book PDF

Author : George A. Anastassiou
Publisher : Springer Science & Business Media
Page : 802 pages
File Size : 48,7 Mb
Release : 2011-03-19
Category : Technology & Engineering
ISBN : 9783642170980

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Intelligent Mathematics: Computational Analysis by George A. Anastassiou Pdf

Knowledge can be modeled and computed using computational mathematical methods, then lead to real world conclusions. The strongly related to that Computational Analysis is a very large area with lots of applications. This monograph includes a great variety of topics of Computational Analysis. We present: probabilistic wavelet approximations, constrained abstract approximation theory, shape preserving weighted approximation, non positive approximations to definite integrals, discrete best approximation, approximation theory of general Picard singular operators including global smoothness preservation property, fractional singular operators. We also deal with non-isotropic general Picard singular multivariate operators and q-Gauss-Weierstrass singular q-integral operators. We talk about quantitative approximations by shift-invariant univariate and multivariate integral operators, nonlinear neural networks approximation, convergence with rates of positive linear operators, quantitative approximation by bounded linear operators, univariate and multivariate quantitative approximation by stochastic positive linear operators on univariate and multivariate stochastic processes. We further present right fractional calculus and give quantitative fractional Korovkin theory of positive linear operators. We also give analytical inequalities, fractional Opial inequalities, fractional identities and inequalities regarding fractional integrals. We further deal with semi group operator approximation, simultaneous Feller probabilistic approximation. We also present Fuzzy singular operator approximations. We give transfers from real to fuzzy approximation and talk about fuzzy wavelet and fuzzy neural networks approximations, fuzzy fractional calculus and fuzzy Ostrowski inequality. We talk about discrete fractional calculus, nabla discrete fractional calculus and inequalities. We study the q-inequalities, and q-fractional inequalities. We further study time scales: delta and nabla approaches, duality principle and inequalities. We introduce delta and nabla time scales fractional calculus and inequalities. We finally study convergence with rates of approximate solutions to exact solution of multivariate Dirichlet problem and multivariate heat equation, and discuss the uniqueness of solution of general evolution partial differential equation \ in multivariate time. The exposed results are expected to find applications to: applied and computational mathematics, stochastics, engineering, artificial intelligence, vision, complexity and machine learning. This monograph is suitable for graduate students and researchers.

Mathematics and Computation

Avi Wigderson
Mathematics and Computation Book PDF

Author : Avi Wigderson
Publisher : Princeton University Press
Page : 434 pages
File Size : 46,9 Mb
Release : 2019-10-29
Category : Computers
ISBN : 9780691189130

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Mathematics and Computation by Avi Wigderson Pdf

An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Computational Mathematics in Engineering and Applied Science

W.E. Schiesser
Computational Mathematics in Engineering and Applied Science Book PDF

Author : W.E. Schiesser
Publisher : CRC Press
Page : 600 pages
File Size : 45,6 Mb
Release : 2014-07-22
Category : Mathematics
ISBN : 9781498710664

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Computational Mathematics in Engineering and Applied Science by W.E. Schiesser Pdf

Computational Mathematics in Engineering and Applied Science provides numerical algorithms and associated software for solving a spectrum of problems in ordinary differential equations (ODEs), differential algebraic equations (DAEs), and partial differential equations (PDEs) that occur in science and engineering. It presents detailed examples, each

Computational Functional Analysis

Ramon E Moore,Michael J Cloud
Computational Functional Analysis Book PDF

Author : Ramon E Moore,Michael J Cloud
Publisher : Elsevier
Page : 212 pages
File Size : 43,9 Mb
Release : 2007-06-01
Category : Technology & Engineering
ISBN : 9780857099433

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Computational Functional Analysis by Ramon E Moore,Michael J Cloud Pdf

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

Handbook of Analytic Computational Methods in Applied Mathematics

George Anastassiou
Handbook of Analytic Computational Methods in Applied Mathematics Book PDF

Author : George Anastassiou
Publisher : CRC Press
Page : 1048 pages
File Size : 48,5 Mb
Release : 2019-06-03
Category : Mathematics
ISBN : 9781420036053

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Handbook of Analytic Computational Methods in Applied Mathematics by George Anastassiou Pdf

Working computationally in applied mathematics is the very essence of dealing with real-world problems in science and engineering. Approximation theory-on the borderline between pure and applied mathematics- has always supplied some of the most innovative ideas, computational methods, and original approaches to many types of problems. The f

Applied Mathematics and Computational Intelligence

Anna M. Gil-Lafuente,José M. Merigó,Bal Kishan Dass,Rajkumar Verma
Applied Mathematics and Computational Intelligence Book PDF

Author : Anna M. Gil-Lafuente,José M. Merigó,Bal Kishan Dass,Rajkumar Verma
Publisher : Springer
Page : 428 pages
File Size : 47,9 Mb
Release : 2018-03-06
Category : Technology & Engineering
ISBN : 9783319757926

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Applied Mathematics and Computational Intelligence by Anna M. Gil-Lafuente,José M. Merigó,Bal Kishan Dass,Rajkumar Verma Pdf

This book gathers selected papers presented at the conference of the Forum for Interdisciplinary Mathematics (FIM), held at Palau Macaya, Barcelona, on 18 to 20 November, 2015. The event was co-organized by the University of Barcelona (Spain), the Spanish Royal Academy of Economic and Financial Sciences (Spain) and the Forum for Interdisciplinary Mathematics (India). This instalment of the conference was presented with the title “Applied Mathematics and Computational Intelligence” and particularly focused on the use of Mathematics and Computational Intelligence techniques in a diverse range of scientific disciplines, as well as their applications in real-world problems. The book presents thirty peer-reviewed research papers, organised into four topical sections: on Mathematical Foundations; Computational Intelligence and Optimization Techniques; Modelling and Simulation Techniques; and Applications in Business and Engineering. This book will be of great interest to anyone working in the area of applied mathematics and computational intelligence and will be especially useful for scientists and graduate students pursuing research in these fields.