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Books in Numerical analysis

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21-30 of 70 results in All results

Stability by Liapunov's Direct Method with Applications by Joseph L Salle and Solomon Lefschetz

  • 1st Edition
  • Volume 4
  • January 25, 2012
  • Joseph La Salle + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 5 5 1 2 - 4
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression.

Numerical Methods for Non-Newtonian Fluids

  • 1st Edition
  • Volume 16
  • December 20, 2010
  • Philippe G. Ciarlet + 2 more
  • English
  • Hardback
    9 7 8 - 0 - 4 4 4 - 5 3 0 4 7 - 9
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 3 2 0 2 - 6
Non-Newtonian flows and their numerical simulations have generated an abundant literature, as well as many publications and references to which can be found in this volume’s articles. This abundance of publications can be explained by the fact that non-Newtonian fluids occur in many real life situations: the food industry, oil & gas industry, chemical, civil and mechanical engineering, the bio-Sciences, to name just a few. Mathematical and numerical analysis of non-Newtonian fluid flow models provide challenging problems to partial differential equations specialists and applied computational mathematicians alike. This volume offers investigations. Results and conclusions that will no doubt be useful to engineers and computational and applied mathematicians who are focused on various aspects of non-Newtonian Fluid Mechanics.

Essential Computational Modeling in Chemistry

  • 1st Edition
  • November 18, 2010
  • Philippe G. Ciarlet
  • English
  • Paperback
    9 7 8 - 0 - 4 4 4 - 5 3 7 5 4 - 6
Essential Computational Modeling in Chemistry presents key contributions selected from the volume in the Handbook of Numerical Analysis: Computational Modeling in Chemistry Vol. 10(2005). Computational Modeling is an active field of scientific computing at the crossroads between Physics, Chemistry, Applied Mathematics and Computer Science. Sophisticated mathematical models are increasingly complex and extensive computer simulations are on the rise. Numerical Analysis and scientific software have emerged as essential steps for validating mathematical models and simulations based on these models. This guide provides a quick reference of computational methods for use in understanding chemical reactions and how to control them. By demonstrating various computational methods in research, scientists can predict such things as molecular properties. The reference offers a number of techniques and the numerical analysis needed to perform rigorously founded computations.

Essential Computational Modeling for the Human Body

  • 1st Edition
  • November 18, 2010
  • Philippe G. Ciarlet
  • English
  • Paperback
    9 7 8 - 0 - 4 4 4 - 5 3 7 5 5 - 3
Essential Computational Modeling for the Human Body presents key contributions selected from the volume in the Handbook of Numerical Analysis: Computational Modeling for the Human Body Vol. 12 (2005). Computational (Mathematical) Modeling is used by scientists and researchers with various applications in chemical, biological, behavioral, environmental sciences, etc. This guide presents essential research techniques for analysis and essential concrete examples of computational models, while supplying a wide range of commonly used methods and applications, followed by various numerical simulations.

Essential Numerical Methods in Electromagnetics

  • 1st Edition
  • November 18, 2010
  • P.G. Ciarlet
  • English
  • Paperback
    9 7 8 - 0 - 4 4 4 - 5 3 7 5 6 - 0
Essential Numerical Methods for Electromagnetics presents key contributions selected from the volume in the Handbook of Numerical Analysis: Numerical Methods for Electromagnetics Vol. 13 (2005). This reference is an accessible resource on the basics of modeling. It is designed to assist professionals in the development of electromagnetic designs for electronic components and devices. It provides essential numerical methods and applications necessary for the development of technologies and simulation modeling. Numerical methods are a key ingredient in a simulation environment where researchers create virtually simulated experiments versus physical experiments. This book serves as a useful guide for scientists, engineers, and researchers providing a quick reference of commonly used numerical methods to help solve a variety of problems in the electronic industry.

Essential Numerical Computer Methods

  • 1st Edition
  • October 27, 2010
  • Michael L. Johnson
  • English
  • eBook
    9 7 8 - 0 - 1 2 - 3 8 4 9 9 8 - 4
The use of computers and computational methods has become ubiquitous in biological and biomedical research. During the last 2 decades most basic algorithms have not changed, but what has is the huge increase in computer speed and ease of use, along with the corresponding orders of magnitude decrease in cost. A general perception exists that the only applications of computers and computer methods in biological and biomedical research are either basic statistical analysis or the searching of DNA sequence data bases. While these are important applications they only scratch the surface of the current and potential applications of computers and computer methods in biomedical research. The various chapters within this volume include a wide variety of applications that extend far beyond this limited perception. As part of the Reliable Lab Solutions series, Essential Numerical Computer Methods brings together chapters from volumes 210, 240, 321, 383, 384, 454, and 467 of Methods in Enzymology. These chapters provide a general progression from basic numerical methods to more specific biochemical and biomedical applications.

Boundary Value Problems

  • 6th Edition
  • July 24, 2009
  • David L. Powers
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 3 7 4 7 1 9 - 8
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 8 4 4 1 - 7
Boundary Value Problems, Sixth Edition, is the leading text on boundary value problems and Fourier series for professionals and students in engineering, science, and mathematics who work with partial differential equations. In this updated edition, author David Powers provides a thorough overview of solving boundary value problems involving partial differential equations by the methods of separation of variables. Additional techniques used include Laplace transform and numerical methods.The book contains nearly 900 exercises ranging in difficulty from basic drills to advanced problem-solving exercises.Professors and students agree that Powers is a master at creating examples and exercises that skillfully illustrate the techniques used to solve science and engineering problems.

Mathematical Modelling and Numerical Methods in Finance

  • 1st Edition
  • Volume 15
  • December 5, 2008
  • Philippe G. Ciarlet + 2 more
  • English
  • Hardback
    9 7 8 - 0 - 4 4 4 - 5 1 8 7 9 - 8
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 3 1 0 0 - 5
Mathematical finance is a prolific scientific domain in which there exists a particular characteristic of developing both advanced theories and practical techniques simultaneously. Mathematical Modelling and Numerical Methods in Finance addresses the three most important aspects in the field: mathematical models, computational methods, and applications, and provides a solid overview of major new ideas and results in the three domains.

Numerical Methods for Roots of Polynomials - Part I

  • 1st Edition
  • Volume 14
  • June 4, 2007
  • J.M. McNamee
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 4 8 9 4 7 - 6
Numerical Methods for Roots of Polynomials - Part I (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newton’s, as well as numerous variations on them invented in the last few decades. Perhaps more importantly it covers recent developments such as Vincent’s method, simultaneous iterations, and matrix methods. There is an extensive chapter on evaluation of polynomials, including parallel methods and errors. There are pointers to robust and efficient programs. In short, it could be entitled “A Handbook of Methods for Polynomial Root-finding”. This book will be invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic.

Equilibrium Models and Variational Inequalities

  • 1st Edition
  • Volume 210
  • February 8, 2007
  • Igor Konnov
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 4 7 1 3 8 - 9
The concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, engineering, transportation, sociology, chemistry, biology and other fields. If one can formulate the equilibrium problem in the form of a mathematical model, solutions of the corresponding problem can be used for forecasting the future behavior of very complex systems and, also, for correcting the the current state of the system under control. This book presents a unifying look on different equilibrium concepts in economics, including several models from related sciences.