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            Numerical Analysis

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            The GETMe Mesh Smoothing Framework: A Geometric Way to Quality Finite Element Meshes
             

            The GETMe Mesh Smoothing Framework: A Geometric Way to Quality Finite Element Meshes (Hardback)

            By Vartziotis, Dimitris; Wipper, Joachim

            • RRP: $235.00
            • $235.00
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            This book describes the mathematical theory of regularizing element transformations as foundation for mesh smoothing. It gives a thorough introduction to GETMe based mesh smoothing and its algorithms providing a framework to focus on efficiently improving minimal element quality,... overal mesh quality, and mesh validity.
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            ISBN 9780367023423
            Released NZ 21 Dec 2018
            Publisher Taylor & Francis Ltd
            Interest Age 19+ years
            Availability
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            The Finite Element Method: Basic Concepts and Applications with MATLAB, MAPLE, and COMSOL, Third Edition
             

            The Finite Element Method: Basic Concepts and Applications with MATLAB, MAPLE, and COMSOL, Third Edition (Hardback, 3rd New edition)

            By Pepper, Darrell W.; Heinrich, Juan C.

            • RRP: $282.00
            • $282.00
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            The third edition of the book introduces the fundamentals of the finite element method through simple examples and an applications-oriented approach using the latest computational tools. Using the transport equation for heat transfer as the foundation for the governing equations,... text demonstrates the versatility of the method of weighted residuals for a wide range of applications including structural analysis and fluid flow. It introduces the boundary element method and meshless, or mesh-free, methods through two additonal chapters. User-friendly computer codes written in MATLAB, MAPLE and FORTRAN are listed.
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            ISBN 9781498738606
            Released NZ 27 Mar 2017
            Publisher Taylor & Francis Inc
            Interest Age General Audience
            Series Computational and Physical Processes in Mechanics and Thermal Sciences
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            Finite Elements: Computational Engineering Sciences

            Finite Elements: Computational Engineering Sciences (Hardback)

            By Baker, A. J.

            • RRP: $207.99
            • $207.99
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            Approaches computational engineering sciences from the perspective of engineering applications Uniting theory with hands-on computer practice, this book gives readers a firm appreciation of the error mechanisms and control that underlie discrete approximation implementations in t...he engineering sciences.
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            ISBN 9781119940500
            Released NZ 7 Sep 2012
            Publisher John Wiley & Sons Australia Lt
            Interest Age General Audience
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            Algorithmics: The Spirit of Computing
             

            Algorithmics: The Spirit of Computing (Paperback, 3rd ed. 1987)

            By Harel, David; Feldman, Yishai

            • RRP: $121.50
            • $121.50
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            This award-winning best-seller addresses the fundamentals of computer science. The authors discuss the design of algorithms, their efficiency and correctness, quantum algorithms, concurrency, large systems and artificial intelligence.

            ISBN 9783642441356
            Released NZ 17 Apr 2014
            Publisher Pearson Education
            Interest Age General Audience
            Language (English)
            Availability
            In stock at supplier; delivery usually 20-30 working days due to covid19 delays
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            Advanced Numerical Methods with Matlab 2: Resolution of Nonlinear, Differential and Partial Differential Equations

            Advanced Numerical Methods with Matlab 2: Resolution of Nonlinear, Differential and Partial Differential Equations (Hardback)

            By Radi, Bouchaib; El Hami, Abdelkhalak

            • RRP: $314.99
            • $314.99
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            The purpose of this book is to introduce and study numerical methods basic and advanced ones for scientific computing. This last refers to the implementation of appropriate approaches to the treatment of a scientific problem arising from physics (meteorology, pollution, etc.

            ISBN 9781786302939
            Released NZ 28 Jul 2018
            Publisher John Wiley & Sons Australia Lt
            Interest Age General Audience
            Availability
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            Approximate Iterative Algorithms
             

            Approximate Iterative Algorithms (Hardback)

            By Almudevar, Anthony Louis; Fernandes de Arruda, Edilson

            • RRP: $235.00
            • $235.00
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            Algorithms are usually classified based on their convergence order - linear, quadratic, etc - and their convergence rate, defined as a bound as the number of iterates goes to infinity. The rate is calculated with respect to the number of steps (iterates) an algorithm takes to con...verge, with no thought on how much effort is applied at each iterate. This volume demonstrates that the use of partial information, refined at each new iteration of the algorithm, can increase the efficiency of the algorithm, while guaranteeing convergence to the optimal solution, provided that the rate of refinement is carefully chosen. Based on approximate algorithms for problem solving, the authors present a new theory, which serves as a general framework for the problem, and consider general and particularly Markov Decision processes. A more suitable definition of the convergence rate with respect to the computational effort is derived for the proposed class of approximate iterative algorithms. In addition, an optimal refinement strategy is derived, which maximizes the rate of convergence with respect to the computation effort of this class of algorithms. Hence, a class of algorithms is derived that makes optimal use of the computational resources available. With a given, fixed amount of computation time, the proposed class of algorithms gets closer to the solution than any other algorithm, including the classical (exact) algorithm. Many numerical examples are included for illustration. This volume is intended for mathematicians, engineers and computer scientists, who work on learning processes in numerical analysis and are involved with optimization, optimal control, decision analysis and machine learning.
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            ISBN 9780415621540
            Released NZ 18 Feb 2014
            Publisher Taylor & Francis Ltd
            Interest Age 19+ years
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            Single Digits: In Praise of Small Numbers

            Single Digits: In Praise of Small Numbers (Hardback)

            By Chamberland, Marc

            • RRP: $59.99
            • $56.99
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            In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and math...ematical physics. For instance, why do eight perfect card shuffles lea
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            ISBN 9780691161143
            Released NZ 15 Jun 2015
            Publisher Princeton University Pre
            Interest Age 16+ years
            Language (English)
            Availability
            2 In-stock at supplier; ships 7-14 working days
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            Numerical Analysis and Modelling in Geomechanics
             

            Numerical Analysis and Modelling in Geomechanics (Trade Paperback / Paperback)

            Edited by Bull, John W.

            • RRP: $134.00
            • $134.00
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            In this volume, experts describe how methods of analysis and modelling are used to answer questions associated with geomechanics, and give an insight into the future directions of those methods.

            ISBN 9780367863616
            Released NZ 20 Dec 2019
            Publisher Taylor & Francis Ltd
            Interest Age 19+ years
            Availability
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            Sequence Spaces: Topics in Modern Summability Theory

            Sequence Spaces: Topics in Modern Summability Theory (Paperback)

            By Mursaleen, Mohammad; Basar, Feyzi

            • RRP: $102.00
            • $102.00
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            This book is aimed at both experts and non-experts with an interest in getting acquainted with sequence space, matrix transformations and their applications. It provides different points of view in one volume, e.g. their topological properties, geometry and summability, fuzzy val...ued study and more.
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            ISBN 9781032173191
            Released NZ 30 Sep 2021
            Publisher Taylor & Francis Ltd
            Interest Age 19+ years
            Availability
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            Quantized Number Theory, Fractal Strings And The Riemann Hypothesis: From Spectral Operators To Phase Transitions And Universality

            Quantized Number Theory, Fractal Strings And The Riemann Hypothesis: From Spectral Operators To Phase Transitions And Universality (Hardback)

            By Herichi, Hafedh; Lapidus, Michel L.

            • RRP: $263.00
            • $249.85
            • Save $13.15
            • Delayed Release

            Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This book contributes to the literature on the subject in several different and new ways. In particular, the authors provide ...a rigorous and detailed study of the spectral operator, a map that sends the geometry of fractal strings onto their spectrum. To that effect, they use and develop methods from fractal geometry, functional analysis, complex analysis, operator theory, partial differential equations, analytic number theory and mathematical physics.Originally, M L Lapidus and M van Frankenhuijsen 'heuristically' introduced the spectral operator in their development of the theory of fractal strings and their complex dimensions, specifically in their reinterpretation of the earlier work of M L Lapidus and H Maier on inverse spectral problems for fractal strings and the Riemann hypothesis.One of the main themes of the book is to provide a rigorous framework within which the corresponding question 'Can one hear the shape of a fractal string?' or, equivalently, 'Can one obtain information about the geometry of a fractal string, given its spectrum?' can be further reformulated in terms of the invertibility or the quasi-invertibility of the spectral operator.The infinitesimal shift of the real line is first precisely defined as a differentiation operator on a family of suitably weighted Hilbert spaces of functions on the real line and indexed by a dimensional parameter c. Then, the spectral operator is defined via the functional calculus as a function of the infinitesimal shift. In this manner, it is viewed as a natural 'quantum' analog of the Riemann zeta function. More precisely, within this framework, the spectral operator is defined as the composite map of the Riemann zeta function with the infinitesimal shift, viewed as an unbounded normal operator acting on the above Hilbert space.It is shown that the quasi-inver
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            ISBN 9789813230798
            Released NZ 15 Sep 2020
            Publisher World Scientific Publishing Co
            Interest Age 19+ years
            Series Fractals and Dynamics in Mathematics, Science, and The Arts: Theory And Applications
            Availability
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