Numerical Methods for Differential Equations
eBook - ePub

Numerical Methods for Differential Equations

A Computational Approach

  1. 384 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Numerical Methods for Differential Equations

A Computational Approach

About this book

With emphasis on modern techniques, Numerical Methods for Differential Equations: A Computational Approach covers the development and application of methods for the numerical solution of ordinary differential equations. Some of the methods are extended to cover partial differential equations. All techniques covered in the text are on a program disk included with the book, and are written in Fortran 90. These programs are ideal for students, researchers, and practitioners because they allow for straightforward application of the numerical methods described in the text. The code is easily modified to solve new systems of equations. Numerical Methods for Differential Equations: A Computational Approach also contains a reliable and inexpensive global error code for those interested in global error estimation. This is a valuable text for students, who will find the derivations of the numerical methods extremely helpful and the programs themselves easy to use. It is also an excellent reference and source of software for researchers and practitioners who need computer solutions to differential equations.

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Yes, you can access Numerical Methods for Differential Equations by J.R. Dormand in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Table of Contents
  6. 1 Differential equations
  7. 2 First ideas and single—step methods
  8. 3 Error considerations
  9. 4 Runge-Kutta methods
  10. 5 Step—size control
  11. 6 Dense output
  12. 7 Stability and stiffness
  13. 8 Multistep methods
  14. 9 Multistep formulae from quadrature
  15. 10 Stability of multistep methods
  16. 11 Methods for Stiff systems
  17. 12 Variable coefficient multistep methods
  18. 13 Global error estimation
  19. 14 Second order equations
  20. 15 Partial differential equations
  21. A Programs for single step methods
  22. B Multistep programs
  23. C Programs for Stiff systems
  24. D Global embedding programs
  25. E A Runge-Kutta Nystrom program
  26. Bibliography
  27. Index