Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
Title | Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations PDF eBook |
Author | Willem Hundsdorfer |
Publisher | Springer Science & Business Media |
Pages | 479 |
Release | 2013-04-17 |
Genre | Technology & Engineering |
ISBN | 3662090171 |
Unique book on Reaction-Advection-Diffusion problems
Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
Title | Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations PDF eBook |
Author | Willem Hundsdorfer |
Publisher | Springer Science & Business Media |
Pages | 498 |
Release | 2007-04-03 |
Genre | Mathematics |
ISBN | 9783540034407 |
Unique book on Reaction-Advection-Diffusion problems
Nonstandard Finite Difference Schemes: Methodology And Applications
Title | Nonstandard Finite Difference Schemes: Methodology And Applications PDF eBook |
Author | Ronald E Mickens |
Publisher | World Scientific |
Pages | 332 |
Release | 2020-11-11 |
Genre | Mathematics |
ISBN | 981122255X |
This second edition of Nonstandard Finite Difference Models of Differential Equations provides an update on the progress made in both the theory and application of the NSFD methodology during the past two and a half decades. In addition to discussing details related to the determination of the denominator functions and the nonlocal discrete representations of functions of dependent variables, we include many examples illustrating just how this should be done.Of real value to the reader is the inclusion of a chapter listing many exact difference schemes, and a chapter giving NSFD schemes from the research literature. The book emphasizes the critical roles played by the 'principle of dynamic consistency' and the use of sub-equations for the construction of valid NSFD discretizations of differential equations.
Numerical Solution of Advection-diffusion-reaction Equations
Title | Numerical Solution of Advection-diffusion-reaction Equations PDF eBook |
Author | Willem H. Hundsdorfer |
Publisher | |
Pages | 89 |
Release | 1996 |
Genre | |
ISBN |
Convection-diffusion Problems
Title | Convection-diffusion Problems PDF eBook |
Author | Martin Stynes |
Publisher | |
Pages | |
Release | 2018 |
Genre | MATHEMATICS |
ISBN | 9781470450212 |
Many physical problems involve diffusive and convective (transport) processes. When diffusion dominates convection, standard numerical methods work satisfactorily. But when convection dominates diffusion, the standard methods become unstable, and special techniques are needed to compute accurate numerical approximations of the unknown solution. This convection-dominated regime is the focus of the book. After discussing at length the nature of solutions to convection-dominated convection-diffusion problems, the authors motivate and design numerical methods that are particularly suited to this c.
Finite Difference Computing with PDEs
Title | Finite Difference Computing with PDEs PDF eBook |
Author | Hans Petter Langtangen |
Publisher | Springer |
Pages | 522 |
Release | 2017-06-21 |
Genre | Computers |
ISBN | 3319554565 |
This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.
The Mathematics of Diffusion
Title | The Mathematics of Diffusion PDF eBook |
Author | John Crank |
Publisher | Oxford University Press |
Pages | 428 |
Release | 1979 |
Genre | Mathematics |
ISBN | 9780198534112 |
Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.