Numerical Methods for Advection-dominated Problems
Title | Numerical Methods for Advection-dominated Problems PDF eBook |
Author | Ana Paula Mouro |
Publisher | |
Pages | 92 |
Release | 1998 |
Genre | Fluid dynamics |
ISBN |
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.
Modeling of Atmospheric Chemistry
Title | Modeling of Atmospheric Chemistry PDF eBook |
Author | Guy P. Brasseur |
Publisher | Cambridge University Press |
Pages | 631 |
Release | 2017-06-19 |
Genre | Science |
ISBN | 1108210953 |
Mathematical modeling of atmospheric composition is a formidable scientific and computational challenge. This comprehensive presentation of the modeling methods used in atmospheric chemistry focuses on both theory and practice, from the fundamental principles behind models, through to their applications in interpreting observations. An encyclopaedic coverage of methods used in atmospheric modeling, including their advantages and disadvantages, makes this a one-stop resource with a large scope. Particular emphasis is given to the mathematical formulation of chemical, radiative, and aerosol processes; advection and turbulent transport; emission and deposition processes; as well as major chapters on model evaluation and inverse modeling. The modeling of atmospheric chemistry is an intrinsically interdisciplinary endeavour, bringing together meteorology, radiative transfer, physical chemistry and biogeochemistry, making the book of value to a broad readership. Introductory chapters and a review of the relevant mathematics make this book instantly accessible to graduate students and researchers in the atmospheric sciences.
Robust Numerical Methods for Singularly Perturbed Differential Equations
Title | Robust Numerical Methods for Singularly Perturbed Differential Equations PDF eBook |
Author | Hans-Görg Roos |
Publisher | Springer Science & Business Media |
Pages | 599 |
Release | 2008-09-17 |
Genre | Mathematics |
ISBN | 3540344675 |
This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics.
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
Solving Numerical PDEs: Problems, Applications, Exercises
Title | Solving Numerical PDEs: Problems, Applications, Exercises PDF eBook |
Author | Luca Formaggia |
Publisher | Springer Science & Business Media |
Pages | 439 |
Release | 2012-04-05 |
Genre | Mathematics |
ISBN | 8847024129 |
This book stems from the long standing teaching experience of the authors in the courses on Numerical Methods in Engineering and Numerical Methods for Partial Differential Equations given to undergraduate and graduate students of Politecnico di Milano (Italy), EPFL Lausanne (Switzerland), University of Bergamo (Italy) and Emory University (Atlanta, USA). It aims at introducing students to the numerical approximation of Partial Differential Equations (PDEs). One of the difficulties of this subject is to identify the right trade-off between theoretical concepts and their actual use in practice. With this collection of examples and exercises we try to address this issue by illustrating "academic" examples which focus on basic concepts of Numerical Analysis as well as problems derived from practical application which the student is encouraged to formalize in terms of PDEs, analyze and solve. The latter examples are derived from the experience of the authors in research project developed in collaboration with scientists of different fields (biology, medicine, etc.) and industry. We wanted this book to be useful both to readers more interested in the theoretical aspects and those more concerned with the numerical implementation.
On the Maximum Principle in Numerical Solution to Advection-dominated Problems
Title | On the Maximum Principle in Numerical Solution to Advection-dominated Problems PDF eBook |
Author | P. Holnicki |
Publisher | |
Pages | |
Release | 1993 |
Genre | |
ISBN |