Nonlinear Partial Differential Equations in Engineering
eBook - PDF

Nonlinear Partial Differential Equations in Engineering

Mathematics in Science and Engineering: A Series of Monographs and Textbooks, Vol. 18

  1. 526 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Nonlinear Partial Differential Equations in Engineering

Mathematics in Science and Engineering: A Series of Monographs and Textbooks, Vol. 18

Book details
Table of contents
Citations

About This Book

Nonlinear Partial Differential Equations in Engineering discusses methods of solution for nonlinear partial differential equations, particularly by using a unified treatment of analytic and numerical procedures. The book also explains analytic methods, approximation methods (such as asymptotic processes, perturbation procedures, weighted residual methods), and specific numerical procedures associated with these equations. The text presents exact methods of solution including the quasi-linear theory, the Poisson-Euler-Darboux equation, a general solution for anisentropic flow, and other solutions obtained from ad hoc assumptions. The book explores analytic methods such as an ad hoc solution from magneto-gas dynamics. Noh and Protter have found the Lagrange formulation to be a convenient vehicle for obtaining "soft" solutions of the equations of gas dynamics. The book notes that developing solutions in two and three dimensions can be achieved by employing Lagrangian coordinates. The book explores approximate methods that use analytical procedures to obtain solutions in the form of functions approximating solutions of nonlinear problems. Approximate methods include integral equations, boundary theory, maximum operation, and equations of elliptic types. The book can serve and benefit mathematicians, students of, and professors of calculus, statistics, or advanced mathematics.

Frequently asked questions

Simply head over to the account section in settings and click on “Cancel Subscription” - it’s as simple as that. After you cancel, your membership will stay active for the remainder of the time you’ve paid for. Learn more here.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Both plans give you full access to the library and all of Perlego’s features. The only differences are the price and subscription period: With the annual plan you’ll save around 30% compared to 12 months on the monthly plan.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes, you can access Nonlinear Partial Differential Equations in Engineering by W. F. Ames, Richard Bellman in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2016
ISBN
9781483222929
Topic
Mathematics
Subtopic
Differential Equations
Index
Mathematics

Table of contents

  1. Front Cover
  2. Nonlinear Partial Differential Equations in Engineering
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. CHAPTER 1. The Origin of Nonlinear Partial Differential Equations
  7. CHAPTER 2. Transformation and General Solutions
  8. CHAPTER 3. Exact Methods of Solution
  9. CHAPTER 4. Further Analytic Methods
  10. CHAPTER 5. Approximate Methods
  11. CHAPTER 6. Further Approximate Methods
  12. CHAPTER 7. Numerical Methods
  13. CHAPTER 8. Some Theoretical Considerations
  14. APPENDIX: Elements of Group Theory
  15. AUTHOR INDEX
  16. SUBJECT INDEX