Numerical Methods for Differential Systems
eBook - PDF

Numerical Methods for Differential Systems

Recent Developments in Algorithms, Software, and Applications

  1. 304 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Numerical Methods for Differential Systems

Recent Developments in Algorithms, Software, and Applications

Book details
Table of contents
Citations

About This Book

Numerical Methods for Differential Systems: Recent Developments in Algorithms, Software, and Applications reviews developments in algorithms, software, and applications of numerical methods for differential systems. Topics covered include numerical algorithms for ordinary and partial differential equations (ODE/PDEs); theoretical approaches to the solution of nonlinear algebraic and boundary value problems via associated differential systems; integration algorithms for initial-value ODEs with particular emphasis on stiff systems; finite difference algorithms; and general- and special-purpose computer codes for ODE/PDEs. Comprised of 15 chapters, this book begins with an introduction to high-order A-stable averaging algorithms for stiff differential systems, followed by a discussion on second derivative multistep formulas based on g-splines; numerical integration of linearized stiff ODEs; and numerical solution of large systems of stiff ODEs in a modular simulation framework. Subsequent chapters focus on numerical methods for mass action kinetics; a systematized collection of codes for solving two-point boundary value problems; general software for PDEs; and the choice of algorithms in automated method of lines solution of PDEs. The final chapter is devoted to quality software for ODEs. This monograph should be of interest to mathematicians, chemists, and chemical engineers.

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 Numerical Methods for Differential Systems by L. Lapidus,William E. Schiesser 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
2014
ISBN
9781483269856
Topic
Mathematics
Subtopic
Differential Equations
Index
Mathematics

Table of contents

  1. Front Cover
  2. Numerical Methods for Differential Systems: Recent Developments in Algorithms, Software, and Applications
  3. Copyright Page
  4. Table of Contents
  5. List of Contributors
  6. Preface
  7. Chapter 1. High-Order A-Stable Averaging Algorithms for Stiff Differential Systems
  8. Chapter 2. Second Derivative Multistep Formulas Based on g-Splines
  9. Chapter 3. Numerical Integration of Linearized Stiff Ordinary Differential Equations
  10. Chapter 4. Comparing Numerical Methods for the Solution of Stiff Systems of ODEs Arising in Chemistry
  11. Chapter 5. On the Construction of Differential Systems for the Solution of Nonlinear Algebraic and Transcendental Systems of Equations
  12. Chapter 6. Differential Procedures for Systems of Implicit Relations and Implicitly Coupled Nonlinear Boundary-Value Problems
  13. Chapter 7. Numerical Solution of Large Systems of Stiff Ordinary Differential Equations in a Modular Simulation Framework
  14. Chapter 8. FAST: A Translator for the Solution of Stiff and Nonlinear Differential and Algebraic Equations
  15. Chapter 9. Applications of EPISODE: An Experimental Package for the Integration of Systems of Ordinary Differential Equations
  16. Chapter 10. SETKIN: A Chemical Kenetics Preprocessor Code
  17. Chapter 11. Numerical Methods for Mass Action Kinetics
  18. Chapter 12. A Systematized Collection of Codes for Solving Two-Point Boundary-Value Problems
  19. Chapter 13. General Software for Partial Differential Equations
  20. Chapter 14. The Choice of Algorithms in Automated Methodof Lines Solution of Partial Differential Equations
  21. Chapter 15. Panel Discussion of Quality Software for ODEs
  22. Subject Index