Описание: This volume provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear variational problems. The author avoids giving the results in the most general, abstract form so that it is easier for the reader to understand more clearly the essential ideas involved. Many examples are included to show the usefulness of the derived error estimates.
Описание: The advent of high-speed computers has made it possible to calculate values from models accurately and rapidly. This title compiles the mathematical knowledge required by researchers in mechanics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers.
Автор: Kincaid, David Cheney, Ward Название: Numerical analysis ISBN: 0821847880 ISBN-13(EAN): 9780821847886 Издательство: Eurospan Рейтинг: Цена: 14784 р. Наличие на складе: Поставка под заказ.
Описание: Introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. This title treats the subject of numerical analysis from a mathematical point of view, offering an analysis of methods for scientific computing with appropriate motivations and proofs.
Описание: The book presents a systematic treatment of results on the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluids. Considered are the linearized stationary case, the nonlinear stationary case, and the full nonlinear time-dependent case. The relevant mathematical tools are introduced at each stage. The new material in this book is Appendix III, reproducing a survey article written in 1998. This appendix contains a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. Readers are advised to peruse this appendix before reading the core of the book. This book presents basic results on the theory of Navier-Stokes equations and, as such, continues to serve as a comprehensive reference source on the topic.
Описание: The book addresses software design issues related to methods for the analysis of construction engineering by means of modern CAD (computer-aided design) systems and provides validation for their use. Special attention is paid to the importance of the relevant mechanical models, their validity, and their external and internal coordination. There is a great deal of practical advice with examples of typical and atypical problems and errors, as well as tips for engineers to identify and avoid traps and pitfalls. Written for professional engineers and scientists, especially, for high-level developers and for CAD users, this book is also aimed at university professors and students preparing to work in this field.
Автор: Ok, E. Название: Real analysis with economic applications ISBN: 0691117683 ISBN-13(EAN): 9780691117683 Издательство: Wiley Рейтинг: Цена: 13200 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Addressing the topics of real analysis, this book discusses the elements of order theory, convex analysis, optimization, correspondences, linear and nonlinear functional analysis, fixed-point theory, dynamic programming, and calculus of variations. It includes fixed point theorems and applications to functional equations and optimization theory.
Описание: This bookвЂ™s title, Nonsmooth Mechanics and Analysis, refers to a major domain of mechanics, particularly those initiated by the works of Jean Jacques Moreau. Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the approach consists in dealing with such problems without resorting to any regularization process. Indeed, the nonsmoothness is due to simplified mechanical modeling; a more sophisticated model would require too large a number of variables, and sometimes the mechanical information is not available via experimental investigations. Therefore, the mathematical formulation becomes nonsmooth; regularizing would only be a trick of arithmetic without any physical justification. Nonsmooth analysis was developed, especially in Montpellier, to provide specific theoretical and numerical tools to deal with nonsmoothness. It is important not only in mechanics but also in physics, robotics, and economics.
Описание: This collection of papers on numerical analysis with special emphasis on nonlinear problems covers a broad spectrum of fields. Several papers are involved in applying numerical methods for proving the existence of solutions of nonlinear problems, e.g. of boundary problems or of obstacle problems. Naturally the solution of linear and nonlinear problems by iterative methods is the subject of a couple of papers. Here topics like the fast verification of solutions of monotone matrix equations, the convergence of linear asynchronous iteration with spectral radius of modulus one or aggregation and disaggregation methods for p-cyclic Markov chains are treated. On the other hand papers involved in optimization problems can be found. Nearly all fields of modern numerical analysis are touched by at least one paper.
Описание: An accessible yet rigorous mathematical introduction, A Theoretical Introduction to Numerical Analysis provides a pedagogical account of the fundamentals of numerical analysis. Using numerical methods from real analysis, linear algebra, and differe
Автор: Chapra, Steven C. Название: Numerical methods for engineers ISBN: 007126759X ISBN-13(EAN): 9780071267595 Издательство: McGraw-Hill Рейтинг: Цена: 7721 р. Наличие на складе: Невозможна поставка.
Описание: Numerical Methods for Engineers
Автор: Atkinson Название: Theoretical Numerical Analysis ISBN: 1441904573 ISBN-13(EAN): 9781441904577 Издательство: Springer Рейтинг: Цена: 10181 р. Наличие на складе: Поставка под заказ.
Описание: This book prepares graduate students for research in numerical analysis/computational mathematics by giving a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps them to move rapidly into a research program.
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