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Books in Numerical methods in engineering

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The Finite Element Method: Its Basis and Fundamentals

  • 7th Edition
  • August 22, 2013
  • O. C. Zienkiewicz + 1 more
  • English
  • Hardback
    9 7 8 - 1 - 8 5 6 1 7 - 6 3 3 - 0
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 5 1 3 5 - 5
The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book’s content to enable clearer development of the finite element method, with major new chapters and sections added to cover: Weak forms Variational forms Multi-dimensional field problems Automatic mesh generation Plate bending and shells Developments in meshless techniques Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis.

The Finite Element Method

  • 2nd Edition
  • August 7, 2013
  • G.R. Liu + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 0 8 - 0 9 8 3 5 6 - 1
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 9 4 4 1 - 3
Written for practicing engineers and students alike, this book emphasizes the role of finite element modeling and simulation in the engineering design process. It provides the necessary theories and techniques of the FEM in a concise and easy-to-understand format and applies the techniques to civil, mechanical, and aerospace problems. Updated throughout for current developments in FEM and FEM software, the book also includes case studies, diagrams, illustrations, and tables to help demonstrate the material.

Computational Toxicology

  • 1st Edition
  • June 4, 2013
  • Bruce A. Fowler
  • English
  • eBook
    9 7 8 - 0 - 1 2 - 3 9 6 5 0 8 - 0
Computational Toxicology: Methods and Applications for Risk Assessment is an essential reference on the translation of computational toxicology data into information that can be used for more informed risk assessment decision-making. This book is authored by leading international investigators who have real-world experience in relating computational toxicology methods to risk assessment. Key topics of interest include QSAR modeling, chemical mixtures, applications to metabolomic and metabonomic data sets, toxicogenomic analyses, applications to REACH informational strategies and much more. The examples provided in this book are based on cutting-edge technologies and set out to stimulate the further development of this promising field to offer rapid, better and more cost-effective answers to major public health concerns.

Metaheuristic Applications in Structures and Infrastructures

  • 1st Edition
  • January 31, 2013
  • Xin-She Yang + 2 more
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 3 9 8 3 6 4 - 0
  • eBook
    9 7 8 - 0 - 1 2 - 3 9 8 3 7 9 - 4
Due to an ever-decreasing supply in raw materials and stringent constraints on conventional energy sources, demand for lightweight, efficient and low-cost structures has become crucially important in modern engineering design. This requires engineers to search for optimal and robust design options to address design problems that are commonly large in scale and highly nonlinear, making finding solutions challenging. In the past two decades, metaheuristic algorithms have shown promising power, efficiency and versatility in solving these difficult optimization problems. This book examines the latest developments of metaheuristics and their applications in structural engineering, construction engineering and earthquake engineering, offering practical case studies as examples to demonstrate real-world applications. Topics cover a range of areas within engineering, including big bang-big crunch approach, genetic algorithms, genetic programming, harmony search, swarm intelligence and some other metaheuristic methods. Case studies include structural identification, vibration analysis and control, topology optimization, transport infrastructure design, design of reinforced concrete, performance-based design of structures and smart pavement management. With its wide range of everyday problems and solutions, Metaheursitic Applications in Structures and Infrastructures can serve as a supplementary text for design courses and computation in engineering as well as a reference for researchers and engineers in metaheuristics, optimization in civil engineering and computational intelligence.

Mathematical Modeling

  • 4th Edition
  • January 28, 2013
  • Mark Meerschaert
  • English
  • Hardback
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  • eBook
    9 7 8 - 0 - 1 2 - 3 8 6 9 9 6 - 8
The new edition of Mathematical Modeling, the survey text of choice for mathematical modeling courses, adds ample instructor support and online delivery for solutions manuals and software ancillaries. From genetic engineering to hurricane prediction, mathematical models guide much of the decision making in our society. If the assumptions and methods underlying the modeling are flawed, the outcome can be disastrously poor. With mathematical modeling growing rapidly in so many scientific and technical disciplines, Mathematical Modeling, Fourth Edition provides a rigorous treatment of the subject. The book explores a range of approaches including optimization models, dynamic models and probability models.

Multipoint Methods for Solving Nonlinear Equations

  • 1st Edition
  • December 31, 2012
  • Miodrag Petkovic + 3 more
  • English
  • eBook
    9 7 8 - 0 - 1 2 - 3 9 7 2 9 8 - 9
This book is the first on the topic and explains the most cutting-edge methods needed for precise calculations and explores the development of powerful algorithms to solve research problems. Multipoint methods have an extensive range of practical applications significant in research areas such as signal processing, analysis of convergence rate, fluid mechanics, solid state physics, and many others. The book takes an introductory approach in making qualitative comparisons of different multipoint methods from various viewpoints to help the reader understand applications of more complex methods. Evaluations are made to determine and predict efficiency and accuracy of presented models useful to wide a range of research areas along with many numerical examples for a deep understanding of the usefulness of each method. This book will make it possible for the researchers to tackle difficult problems and deepen their understanding of problem solving using numerical methods. Multipoint methods are of great practical importance, as they determine sequences of successive approximations for evaluative purposes. This is especially helpful in achieving the highest computational efficiency. The rapid development of digital computers and advanced computer arithmetic have provided a need for new methods useful to solving practical problems in a multitude of disciplines such as applied mathematics, computer science, engineering, physics, financial mathematics, and biology.

Reliability Theory and Models

  • 1st Edition
  • December 2, 2012
  • Mohamed Abdel-Hameed
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 4 0 6 5 - 2
Reliability Theory and Models: Stochastic Failure Models, Optimal Maintenance Policies, Life Testing, and Structures contains the proceedings of a Symposium on Stochastic Failure Models, Replacement and Maintenance Policies, and Accelerated Life Testing, held in Charlotte, North Carolina, on June 24-26, 1983. Contributors discuss the directions for research on stochastic failure models and maintenance and replacement policies, as well as statistical and computational aspects of reliability. This text is divided into five sections and is comprised of 17 chapters; the first of which introduces the reader to Markov and semi-Markov models of deterioration in light of the results on representation and characterization of Markov processes. The discussion then turns to the concept of minimal repair; situations in which the appropriate stochastic process is a damage or wear process; and optimum policies for several maintenance models based on the imperfect repair model of Brown and Proschan. The chapters that follow explore optimal replacement for self-repairing shock models; the implementation of an iterative scheme for certain Markovian wear/damage models; and a Markov decision model for determining the optimal inventories of repairable spare parts for redundant systems. This book also considers the reliability and maintenance of very large complex systems from the perspective of the U.S. Air Force. This reference material will be of interest to students and active researchers in the fields of mathematics and engineering.

Finite Element Methods for Viscous Incompressible Flows

  • 1st Edition
  • December 2, 2012
  • Max D. Gunzburger
  • English
  • eBook
    9 7 8 - 0 - 3 2 3 - 1 3 9 8 2 - 3
Finite Element Methods for Viscous Incompressible Flows examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are stated, no detailed proofs are supplied; rather, the intention is to present these results so that they can serve as a guide for the selection and, in certain respects, the implementation of algorithms.

Finite Element Techniques in Groundwater Flow Studies

  • 1st Edition
  • Volume 61
  • December 2, 2012
  • I. Kazda
  • English
  • eBook
    9 7 8 - 0 - 4 4 4 - 5 9 8 3 2 - 5
The finite element method (FEM) is one of those modern numerical methods whose rise and development was incited by the rapid development of computers. This method has found applications in all the technical disciplines as well as in the natural sciences.One of the most effective applications of the finite element method is its use for the solution of groundwater flow problems encountered in the design and maintenance of hydraulic structures and tailing dams, in soil mechanics, hydrology, hydrogeology and engineering geology.The stimuli to write this book came from the results obtained in the solution of practical problems connected both with the construction and maintenance of fill-type dams and tailing dams and the utilization of groundwater in Czechoslovakia, and on the other hand from the experience gained in teaching hydraulic structures theory at the Faculty of Civil Engineering of the Technical University of Prague. All the experience so far obtained shows markedly the advantages of the finite element method and the great possibilities of its further development as well as its considerable demands on the algorithmization, programming and use of computer possibilities. The reader will find an explanation of the fundamentals of the finite element method directed mainly toward isoparametric elements having an exceptional adaptability and numerical reliability. The finite element method application to groundwater flow concerns mainly two-dimensional problems, which occur most frequently in practice. Considerable attention is given to non-linear and non-stationary problems, which are most important in application.A computer program (based on the eight-noded isoparametric elements) is included and fully documented.The book will be useful to civil engineers, hydrogeologists and engineering geologists who need the finite element method as a solution tool for the complex problems encountered in engineering practice.

Reliability Fundamentals

  • 1st Edition
  • November 13, 2012
  • V.M. Catuneanu + 1 more
  • English
  • eBook
    9 7 8 - 0 - 4 4 4 - 5 9 8 1 4 - 1
The development of modern technologies has enlarged the scope of quality, to include aspects concerning the time varying performances of systems. The general property of a system, to conserve its performance in time, is known as reliability. The concept of reliability, developed on the basis of electronic technology, can be generalized to describe any system, be it technical, biological or even social. This work is concerned with technological systems, but many of its ideas can be applied successfully outside the purely technical field. A comprehensive treatment of the various models and methodologies employed in the reliability field is given. The mathematical, physical and engineering concepts related to reliability are presented from a unitary point of view. Moreover, the book provides the theoretical background for the methodologies of reliability assurance and assessment. A global model of system reliability is specified by classical estimation of its parameters from experimental data. The practical difficulties related to the amount of data needed for an accurate estimation is examined in detail.A major improvement on the accuracy of a model is provided by the application of Bayesian statistical theory, thereby making use of all the information available on the reliability of the system. The next section describes the relationship between reliability and stress. It introduces the models of reliability extrapolation and the theory of accelerated life tests. The global model is extended to systems that are subject to renewal and leads to specific reliability indices of system effectiveness. A comparison is given on structural models of system reliability together with the appropriate methods of analysis. The limitations and the areas of application of different models are clearly outlined.The book maintains a good balance between the theoretical and the practical point of view. It is sufficiently theoretical to cover most technical systems, but is not restricted to purely mathematical aspects. The interpretations and the applications of the models are presented in detail, enabling the practitioner to make direct use of many results.