Skip to main content
Elsevier

Books in Numerical methods in engineering

This portfolio focuses on computational techniques, algorithms, and simulation methods essential for solving complex engineering problems. It equips researchers and engineers with robust tools for modelling, optimization, and analysis across disciplines. Emphasizing accuracy, efficiency, and real-world applications, these resources enable innovations in design, testing, and performance evaluation.

  • Mathematical Modeling

    • 4th Edition
    • Mark Meerschaert
    • English
    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
    • Miodrag Petkovic + 3 more
    • English
    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
    • Mohamed Abdel-Hameed
    • English
    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

    A Guide to Theory, Practice, and Algorithms
    • 1st Edition
    • Max D. Gunzburger
    • English
    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.

  • Constitutive Equations for Anisotropic and Isotropic Materials

    • 1st Edition
    • G.F. Smith
    • English
    Constitutive equations define the response of materials which are subjected to applied fields. This volume presents the procedures for generating constitutive equations describing the response of crystals, isotropic and transversely isotropic materials. The book discusses the application of group representation theory, Young symmetry operators and generating functions to the determination of the general form of constitutive equations. Basic quantity tables, character tables, irreducible representation tables and direct product tables are included.

  • Foundations of Estimation Theory

    • 1st Edition
    • L. Kubacek
    • English
    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.

  • Reliability Fundamentals

    • 1st Edition
    • V.M. Catuneanu + 1 more
    • English
    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.

  • Measurement Evaluation

    • 1st Edition
    • A. Boros
    • English
    The information obtained about a measured object is called ``crude'' measurement information and must be related to the conditions under which the measurement took place. Using ``crude'' measurement information as a starting point, evaluation produces physically correctly interpreted data with their estimated (or corrected) error. Although a number of works deal with the evaluation of measurements, they either appeared a long time ago or serve essentially different aims. This book gives a comprehensive and current overview on the basic principles, aids, devices, and methods in the evaluation of measurements performed in all fields of technology and science in order to gain information about physical or technical objects. It also provides an introduction to the more recent problem areas such as frequency analysis, stochastic measurement information, real time treatment of measurement information, etc.The book will prove useful in solving the problem areas encountered by those involved in measurement technology and measurement evaluation. It will also serve as an introduction to those not possessing any specialized and advanced technical training in the subject matter.

  • Limit Analysis in Soil Mechanics

    • 1st Edition
    • Volume 52
    • W.F. Chen + 1 more
    • English
    During the last ten years, our understanding of the perfect plasticity and the associated flow rule assumption on which limit analysis is based has increased considerably. Many extensions and advances have been made in applications of limit analysis to the area of soil dynamics, in particular, to earthquake-induced slope failure and landslide problems and to earthquake-induced lateral earth pressures on rigid retaining structures. The purpose of the book therefore is in part to discuss the validity of the upper bound work (or energy) method of limit analysis in a form that can be appreciated by a practicing soil engineer, and in part to provide a compact and up-to-date summary of recent advances in the applications of limit analysis to earthquake-induced stability problems in soil mechanics.

  • Finite Element Techniques in Groundwater Flow Studies

    With Applications in Hydraulic and Geotechnical Engineering
    • 1st Edition
    • Volume 61
    • I. Kazda
    • English
    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.

Related subjects