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Books in Numerical methods in engineering

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Foundations of Estimation Theory

  • 1st Edition
  • November 13, 2012
  • L. Kubacek
  • English
  • eBook
    9 7 8 - 0 - 4 4 4 - 5 9 8 0 8 - 0
The application of estimation theory renders the processing of experimental results both rational and effective, and thus helps not only to make our knowledge more precise but to determine the measure of its reliability. As a consequence, estimation theory is indispensable in the analysis of the measuring processes and of experiments in general.The knowledge necessary for studying this book encompasses the disciplines of probability and mathematical statistics as studied in the third or fourth year at university. For readers interested in applications, comparatively detailed chapters on linear and quadratic estimations, and normality of observation vectors have been included. Chapter 2 includes selected items of information from algebra, functional analysis and the theory of probability, intended to facilitate the reading of the text proper and to save the reader looking up individual theorems in various textbooks and papers; it is mainly devoted to the reproducing kernel Hilbert spaces, helpful in solving many estimation problems. The text proper of the book begins with Chapter 3. This is divided into two parts: the first deals with sufficient statistics, complete sufficient statistics, minimal sufficient statistics and relations between them; the second contains the mostimportant inequalities of estimation theory for scalar and vector valued parameters and presents properties of the exponential family of distributions.The fourth chapter is an introduction to asymptotic methods of estimation. The method of statistical moments and the maximum-likelihood method are investigated. The sufficient conditions for asymptotical normality of the estimators are given for both methods. The linear and quadratic methods of estimation are dealt with in the fifth chapter. The method of least squares estimation is treated. Five basic regular versions of the regression model and the unified linear model of estimation are described. Unbiased estimators for unit dispersion (factor of the covariance matrix) are given for all mentioned cases. The equivalence of the least-squares method to the method of generalized minimum norm inversion of the design matrix of the regression model is studied in detail. The problem of estimating the covariance components in the mixed model is mentioned as well. Statistical properties of linear and quadratic estimators developed in the fifth chapter in the case of normally distributed errors of measurement are given in Chapter 6. Further, the application of tensor products of Hilbert spaces generated by the covariance matrix of random error vector of observations is demonstrated. Chapter 7 reviews some further important methods of estimation theory. In the first part Wald's method of decision functions is applied to the construction of estimators. The method of contracted estimators and the method of Hoerl and Kennard are presented in the second part. The basic ideas of robustness and Bahadur's approach to estimation theory are presented in the third and fourth parts of this last chapter.

Computational Methods in Cell Biology

  • 1st Edition
  • Volume 110
  • April 13, 2012
  • Anand R. Asthagiri + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 3 8 8 4 0 3 - 9
  • eBook
    9 7 8 - 0 - 1 2 - 3 8 8 4 2 1 - 3
Computational methods are playing an ever increasing role in cell biology.  This volume of Methods in Cell Biology focuses on Computational Methods in Cell Biology and consists of two parts: (1) data extraction and analysis to distill models and mechanisms, and (2) developing and simulating models to make predictions and testable hypotheses. 

The Finite Element Method in Engineering

  • 5th Edition
  • December 20, 2010
  • Singiresu S. Rao
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 5 2 0 4 - 8
The Finite Element Method in Engineering, Fifth Edition, provides a complete introduction to finite element methods with applications to solid mechanics, fluid mechanics, and heat transfer. Written by bestselling author S.S. Rao, this book provides students with a thorough grounding of the mathematical principles for setting up finite element solutions in civil, mechanical, and aerospace engineering applications. The new edition of this textbook includes examples using modern computer tools such as MatLab, Ansys, Nastran, and Abaqus.This book discusses a wide range of topics, including discretization of the domain; interpolation models; higher order and isoparametric elements; derivation of element matrices and vectors; assembly of element matrices and vectors and derivation of system equations; numerical solution of finite element equations; basic equations of fluid mechanics; inviscid and irrotational flows; solution of quasi-harmonic equations; and solutions of Helmhotz and Reynolds equations. New to this edition are examples and applications in Matlab, Ansys, and Abaqus; structured problem solving approach in all worked examples; and new discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems. All figures are revised and redrawn for clarity.This book will benefit professional engineers, practicing engineers learning finite element methods, and students in mechanical, structural, civil, and aerospace engineering.

Computational Methods for Genetics of Complex Traits

  • 1st Edition
  • Volume 72
  • November 2, 2010
  • Jason H Moore + 1 more
  • English
  • eBook
    9 7 8 - 0 - 1 2 - 3 8 0 8 6 3 - 9
The field of genetics is rapidly evolving, and new medical breakthroughs are occurring as a result of advances in knowledge gained from genetics reasearch. This thematic volume of Advances in Genetics looks at Computational Methods for Genetics of Complex traits.

Up and Running with Autodesk Inventor Simulation 2011

  • 2nd Edition
  • April 15, 2010
  • Wasim Younis
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 3 8 2 1 0 2 - 7
  • eBook
    9 7 8 - 0 - 1 2 - 3 8 2 1 0 3 - 4
Up and Running with Autodesk Inventor Simulation 2011 provides a clear path to perfecting the skills of designers and engineers using simulation inside Autodesk Inventor. This book includes modal analysis, stress singularities, and H-P convergence, in addition to the new frame analysis functionality. The book is divided into three sections: dynamic solution, stress analysis, and frame analysis, with a total of nineteen chapters. The first chapter of each section offers an overview of the topic covered in that section. There is also an overview of the Inventor Simulation interface and its strengths, weaknesses, and workarounds. Furthermore, the book emphasizes the joint creation process and discusses in detail the unique and powerful parametric optimization function. This book will be a useful learning tool for designers and engineers, and a source for applying simulation for faster production of better products.

Essential Matlab for Engineers and Scientists

  • 4th Edition
  • September 15, 2009
  • Daniel T. Valentine + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 5 2 1 1 - 6
The essential guide to MATLAB as a problem solving tool This text presents MATLAB both as a mathematical tool and a programming language, giving a concise and easy to master introduction to its potential and power. The fundamentals of MATLAB are illustrated throughout with many examples from a wide range of familiar scientific and engineering areas, as well as from everyday life. The new edition has been updated to include coverage of Symbolic Math and SIMULINK. It also adds new examples and applications, and uses the most recent release of Matlab.

Computational Fluid Dynamics in Fire Engineering

  • 1st Edition
  • April 20, 2009
  • Guan Heng Yeoh + 1 more
  • English
  • Hardback
    9 7 8 - 0 - 7 5 0 6 - 8 5 8 9 - 4
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 7 0 0 3 - 7
Fire and combustion presents a significant engineering challenge to mechanical, civil and dedicated fire engineers, as well as specialists in the process and chemical, safety, buildings and structural fields. We are reminded of the tragic outcomes of ‘untenable’ fire disasters such as at King’s Cross underground station or Switzerland’s St Gotthard tunnel. In these and many other cases, computational fluid dynamics (CFD) is at the forefront of active research into unravelling the probable causes of fires and helping to design structures and systems to ensure that they are less likely in the future. Computational fluid dynamics (CFD) is routinely used as an analysis tool in fire and combustion engineering as it possesses the ability to handle the complex geometries and characteristics of combustion and fire. This book shows engineering students and professionals how to understand and use this powerful tool in the study of combustion processes, and in the engineering of safer or more fire resistant (or conversely, more fire-efficient) structures.No other book is dedicated to computer-based fire dynamics tools and systems. It is supported by a rigorous pedagogy, including worked examples to illustrate the capabilities of different models, an introduction to the essential aspects of fire physics, examination and self-test exercises, fully worked solutions and a suite of accompanying software for use in industry standard modeling systems.

Computational Methods for the Atmosphere and the Oceans

  • 1st Edition
  • Volume 14
  • November 28, 2008
  • Roger Temam + 2 more
  • English
  • Hardback
    9 7 8 - 0 - 4 4 4 - 5 1 8 9 3 - 4
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 3 1 0 3 - 6
This book provides a survey of the frontiers of research in the numerical modeling and mathematical analysis used in the study of the atmosphere and oceans. The details of the current practices in global atmospheric and ocean models, the assimilation of observational data into such models and the numerical techniques used in theoretical analysis of the atmosphere and ocean are among the topics covered.

Design and Optimization of Metal Structures

  • 1st Edition
  • April 1, 2008
  • J Farkas + 1 more
  • English
  • eBook
    9 7 8 - 1 - 7 8 2 4 2 - 0 4 7 - 7
An industrial book that analyses various theoretical problems, optimizes numerical applications and addresses industrial problems such as belt-conveyor bridge, pipeline, wind turbine power, large-span suspended roof and offshore jacket member. Multi-storey frames and pressure vessel-supporting frames are discussed in detail. The book’s emphasis is on economy and cost calculation, making it possible to compare costs and make significant savings in the design stages, by, for example, comparing the costs of stiffened and un-stiffened structural versions of plates and shells. In this respect, this book will be an invaluable aid for designers, students, researchers and manufacturers to find better, optimal, competitive structural solutions.

Engineering Analysis with ANSYS Software

  • 1st Edition
  • December 18, 2006
  • Tadeusz Stolarski + 2 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 4 6 9 6 9 - 0
For all engineers and students coming to finite element analysis or to ANSYS software for the first time, this powerful hands-on guide develops a detailed and confident understanding of using ANSYS's powerful engineering analysis tools. The best way to learn complex systems is by means of hands-on experience. With an innovative and clear tutorial based approach, this powerful book provides readers with a comprehensive introduction to all of the fundamental areas of engineering analysis they are likely to require either as part of their studies or in getting up to speed fast with the use of ANSYS software in working life. Opening with an introduction to the principles of the finite element method, the book then presents an overview of ANSYS technologies before moving on to cover key applications areas in detail.Key topics covered:Introduction to the finite element methodGetting started with ANSYS softwarestress analysis dynamics of machines fluid dynamics problemsthermo mechanics contact and surface mechanicsexercises, tutorials, worked examples With its detailed step-by-step explanations, extensive worked examples and sample problems, this book will develop the reader's understanding of FEA and their ability to use ANSYS's software tools to solve their own particular analysis problems, not just the ones set in the book.

Related subjects

Computational methods

Engineering software

Modeling including finite elements

Optimization