Iterative Methods in Scientific Computing and Their Applications

Iterative Methods in Scientific Computing and Their Applications PDF Author: Raymond Chan
Publisher: Springer
ISBN:
Category : Computers
Languages : en
Pages : 400

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Book Description
Because of the rapid evolution of the development of this field, as well as the fact that iterative methods are not often developed in a generic form for general applications, there is a lack of published materials that treat the topic properly and fully. These lectures from the Winter School on Iterative Methods in Scientific Computing and their Applications aims to bridge such a gap in the literature.

Iterative Methods in Scientific Computing and Their Applications

Iterative Methods in Scientific Computing and Their Applications PDF Author: Raymond Chan
Publisher: Springer
ISBN:
Category : Computers
Languages : en
Pages : 400

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Book Description
Because of the rapid evolution of the development of this field, as well as the fact that iterative methods are not often developed in a generic form for general applications, there is a lack of published materials that treat the topic properly and fully. These lectures from the Winter School on Iterative Methods in Scientific Computing and their Applications aims to bridge such a gap in the literature.

Numerical Methods in Scientific Computing:

Numerical Methods in Scientific Computing: PDF Author: Germund Dahlquist
Publisher: SIAM
ISBN: 0898716446
Category : Mathematics
Languages : en
Pages : 741

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Book Description
This work addresses the increasingly important role of numerical methods in science and engineering. It combines traditional and well-developed topics with other material such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions.

Numerical Methods and Scientific Computing

Numerical Methods and Scientific Computing PDF Author: Norbert Köckler
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 360

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Book Description
BL Ideal numerical methods and programming text for students, lecturers, and professionals alike This book covers the whole range of numerical mathematics. Throughout, the author presents a unified approach to theory, algortithms, applications, and the use of software.

Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications

Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications PDF Author: Daniele Bertaccini
Publisher: CRC Press
ISBN: 1498764177
Category : Mathematics
Languages : en
Pages : 375

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Book Description
This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.

Optimized Iterative Methods with Applications in Diverse Disciplines

Optimized Iterative Methods with Applications in Diverse Disciplines PDF Author: Samundra Regmi
Publisher: Nova Science Publishers
ISBN: 9781536195088
Category : Mathematics
Languages : en
Pages : 337

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Book Description
"Numerous problems from diverse disciplines can be converted using mathematical modeling to an equation defined on suitable abstract spaces usually involving the n-dimensional Euclidean space, Hilbert space, Banach Space or even more general spaces. The solution of these equations is sought in closed form. But this is possible only in special cases. That is why researchers and practitioners use iterative algorithms, which seem to be the only alternative. Due to the explosion of technology, faster and faster computers become available. This development simply means that new optimized algorithms should be developed to take advantage of these improvements. That is exactly where we come in with our book containing such algorithms with applications in problems from numerical analysis and economics but also from other areas such as biology, chemistry, physics, parallel computing, and engineering. The book is an outgrowth of scientific research conducted over two years. This book can be used by senior undergraduate students, graduate students, researchers, and practitioners in the aforementioned areas in the classroom or as reference material. Readers should know the fundamentals of numerical-functional analysis, economic theory, and Newtonian physics. Some knowledge of computers and contemporary programming shall be very helpful to readers"--

Iterative Methods for Sparse Linear Systems

Iterative Methods for Sparse Linear Systems PDF Author: Yousef Saad
Publisher: SIAM
ISBN: 0898715342
Category : Mathematics
Languages : en
Pages : 537

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Book Description
Mathematics of Computing -- General.

High-Performance Scientific Computing

High-Performance Scientific Computing PDF Author: Michael W. Berry
Publisher: Springer Science & Business Media
ISBN: 1447124367
Category : Computers
Languages : en
Pages : 351

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Book Description
This book presents the state of the art in parallel numerical algorithms, applications, architectures, and system software. The book examines various solutions for issues of concurrency, scale, energy efficiency, and programmability, which are discussed in the context of a diverse range of applications. Features: includes contributions from an international selection of world-class authorities; examines parallel algorithm-architecture interaction through issues of computational capacity-based codesign and automatic restructuring of programs using compilation techniques; reviews emerging applications of numerical methods in information retrieval and data mining; discusses the latest issues in dense and sparse matrix computations for modern high-performance systems, multicores, manycores and GPUs, and several perspectives on the Spike family of algorithms for solving linear systems; presents outstanding challenges and developing technologies, and puts these in their historical context.

Numerical Methods and Applications

Numerical Methods and Applications PDF Author: Geno Nikolov
Publisher: Springer
ISBN: 3030106926
Category : Computers
Languages : en
Pages : 500

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Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 9th International Conference on Numerical Methods and Applications, NMA 2018, held in Borovets, Bulgaria, in August 2018. The 56 revised regular papers presented were carefully reviewed and selected from 61 submissions for inclusion in this book. The papers are organized in the following topical sections: numerical search and optimization; problem-driven numerical method: motivation and application, numerical methods for fractional diffusion problems; orthogonal polynomials and numerical quadratures; and Monte Carlo and Quasi-Monte Carlo methods.

Applied Iterative Methods

Applied Iterative Methods PDF Author: Louis A. Hageman
Publisher: Elsevier
ISBN: 1483294374
Category : Mathematics
Languages : en
Pages : 409

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Book Description
Applied Iterative Methods

Numerical Methods for Equations and its Applications

Numerical Methods for Equations and its Applications PDF Author: Ioannis K. Argyros
Publisher: CRC Press
ISBN: 1578087538
Category : Mathematics
Languages : en
Pages : 476

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Book Description
This book introduces advanced numerical-functional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, each chapter contains several new theoretical results and important applications in engineering, in dynamic economics systems, in input-output system, in the solution of nonlinear and linear differential equations, and optimization problem.