- 384 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
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.
Frequently asked questions
Information
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Table of Contents
- 1 Differential equations
- 2 First ideas and singleāstep methods
- 3 Error considerations
- 4 Runge-Kutta methods
- 5 Stepāsize control
- 6 Dense output
- 7 Stability and stiffness
- 8 Multistep methods
- 9 Multistep formulae from quadrature
- 10 Stability of multistep methods
- 11 Methods for Stiff systems
- 12 Variable coefficient multistep methods
- 13 Global error estimation
- 14 Second order equations
- 15 Partial differential equations
- A Programs for single step methods
- B Multistep programs
- C Programs for Stiff systems
- D Global embedding programs
- E A Runge-Kutta Nystrom program
- Bibliography
- Index