An Introduction to the Finite Element Method for Differential Equations
eBook - ePub

An Introduction to the Finite Element Method for Differential Equations

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

An Introduction to the Finite Element Method for Differential Equations

About this book

Master the finite element method with this masterful and practical volume

An Introduction to the Finite Element Method (FEM) for Differential Equations provides readers with a practical and approachable examination of the use of the finite element method in mathematics. Author Mohammad Asadzadeh covers basic FEM theory, both in one-dimensional and higher dimensional cases.

The book is filled with concrete strategies and useful methods to simplify its complex mathematical contents. Practically written and carefully detailed, An Introduction to the Finite Element Method covers topics including:

  • An introduction to basic ordinary and partial differential equations
  • The concept of fundamental solutions using Green's function approaches
  • Polynomial approximations and interpolations, quadrature rules, and iterative numerical methods to solve linear systems of equations
  • Higher-dimensional interpolation procedures
  • Stability and convergence analysis of FEM for differential equations

This book is ideal for upper-level undergraduate and graduate students in natural science and engineering. It belongs on the shelf of anyone seeking to improve their understanding of differential equations.

Trusted by 375,005 students

Access to over 1 million titles for a fair monthly price.

Study more efficiently using our study tools.

Information

Publisher
Wiley
Year
2020
Print ISBN
9781119671640
eBook ISBN
9781119671664
Edition
1
Topic
Mathematics
Subtopic
Differential Equations
Index
Mathematics

Table of contents

  1. Cover
  2. Table of Contents
  3. Preface
  4. Acknowledgments
  5. 1 Introduction
  6. 2 Mathematical Tools
  7. 3 Polynomial Approximation/Interpolation in 1d
  8. 4 Linear Systems of Equations
  9. 5 Two‐Point Boundary Value Problems
  10. 6 Scalar Initial Value Problems
  11. 7 Initial Boundary Value Problems in 1d
  12. 8 Approximation in Several Dimensions
  13. 9 The Boundary Value Problems in N
  14. 10 The Initial Boundary Value Problems in N
  15. Appendix A: Appendix AAnswers to Some ExercisesAnswers to Some Exercises
  16. Appendind B: Appendind BAlgorithms and Matlab CodesAlgorithms and Matlab Codes
  17. Appendix C: Appendix CSample AssignmentsSample Assignments
  18. Appendix D: Appendix DSymbolsSymbols
  19. Bibliography
  20. Index
  21. End User License Agreement

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn how to download books offline
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
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 990+ topics, we’ve got you covered! Learn about our mission
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 about Read Aloud
Yes! You can use the Perlego app on both iOS and Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app
Yes, you can access An Introduction to the Finite Element Method for Differential Equations by Mohammad Asadzadeh 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.