Nonlinear Problems of Engineering
eBook - PDF

Nonlinear Problems of Engineering

  1. 267 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Nonlinear Problems of Engineering

About this book

Nonlinear Problems of Engineering reviews certain nonlinear problems of engineering. This book provides a discussion of nonlinear problems that occur in four areas, namely, mathematical methods, fluid mechanics, mechanics of solids, and transport phenomena. Organized into 15 chapters, this book begins with an overview of some of the fundamental ideas of two mathematical theories, namely, invariant imbedding and dynamic programming. This text then explores nonlinear integral equations, which have long occupied a prominent place in mathematical analysis. Other chapters consider the phenomena associated with essentially divergent small-divisor series, such as may occur in the formal solution of differential equations that represent the oscillations of conservative dynamical systems. This book discusses as well the mechanics of idealized textiles consisting of inextensible filaments. The final chapter deals with the use of the Peaceman–Rachford alternating direction implicit method for solving the finite difference analogs of boundary value problems. This book is a valuable resource for engineers and mathematicians.

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Information

Publisher
Academic Press
Year
2014
Print ISBN
9781483200781
eBook ISBN
9781483225814
Topic
Physical Sciences
Subtopic
Mathematics General

Table of contents

  1. Front Cover
  2. Nonlinear Problems of Engineering
  3. Copyright Page
  4. Table of Contents
  5. Contributors
  6. Foreword
  7. Preface
  8. Chapter 1. New Methods in Nonlinear Mechanics
  9. Chapter 2. Probability as a Science
  10. Chapter 3. On Random Solutions of Nonlinear Integral Equations
  11. Chapter 4. A Singular Case of Iteration of Analytic Functions: A Contribution to the Small-Divisor Problem
  12. Chapter 5 . Networks of Inextensible Cords
  13. Chapter 6. On Integral Operators Generating Stream Functions of Compressible Fluids
  14. Chapter 7. Some Problems Concerning Linear Differential Equations Made Nonlinear by Unknown or Moving Boundaries
  15. Chapter 8. Nonlinear Problems of Combined Conductive-Radiative Heat Transfer
  16. Chapter 9. Statistical Problems Connected with the Solution of a Nonlinear Partial Differential Equation
  17. Chapter 10. Melting Decelerating Bodies
  18. Chapter 11. Thermal Radiation Effects on Hypersonic Flow Fields
  19. Chapter 12. Mathematical Theory of Compressible Fluids
  20. Chapter 13. Problems in Nonlinear Nonmechanics
  21. Chapter 14. Nonlinear Problems in Ballistics
  22. Chapter 15. Alternating Direction Methods for Solving Partial Difference Equations
  23. Subject Index

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Yes, you can access Nonlinear Problems of Engineering by William F. Ames in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematics General. We have over one million books available in our catalogue for you to explore.