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Author: Willem Hundsdorfer
Publisher: Springer Science & Business Media
Published: 2013-04-17
Total Pages: 479
ISBN-13: 3662090171
DOWNLOAD EBOOKUnique book on Reaction-Advection-Diffusion problems
Author: Martin Stynes
Publisher:
Published: 2018
Total Pages:
ISBN-13: 9781470450212
DOWNLOAD EBOOKMany 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.
Author: Cornelis Boudewijn Vreugdenhil
Publisher:
Published: 1993
Total Pages: 396
ISBN-13:
DOWNLOAD EBOOKAuthor: Guy P. Brasseur
Publisher: Cambridge University Press
Published: 2017-06-19
Total Pages: 631
ISBN-13: 1108210953
DOWNLOAD EBOOKMathematical 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.
Author: Hans-Görg Roos
Publisher: Springer Science & Business Media
Published: 2008-09-17
Total Pages: 599
ISBN-13: 3540344675
DOWNLOAD EBOOKThis 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.
Author: Hans Petter Langtangen
Publisher: Springer
Published: 2017-06-21
Total Pages: 522
ISBN-13: 3319554565
DOWNLOAD EBOOKThis 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.
Author: Ana Paula Mouro
Publisher:
Published: 1998
Total Pages: 92
ISBN-13:
DOWNLOAD EBOOKAuthor: Andrey Martynenko
Publisher:
Published: 2004
Total Pages: 184
ISBN-13:
DOWNLOAD EBOOKAuthor: Ronald E Mickens
Publisher: World Scientific
Published: 2020-11-11
Total Pages: 332
ISBN-13: 981122255X
DOWNLOAD EBOOKThis 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.
Author: Martin Stynes
Publisher: American Mathematical Soc.
Published: 2018-11-21
Total Pages: 156
ISBN-13: 1470448688
DOWNLOAD EBOOKMany 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 class of problems. At first they examine finite-difference methods for two-point boundary value problems, as their analysis requires little theoretical background. Upwinding, artificial diffusion, uniformly convergent methods, and Shishkin meshes are some of the topics presented. Throughout, the authors are concerned with the accuracy of solutions when the diffusion coefficient is close to zero. Later in the book they concentrate on finite element methods for problems posed in one and two dimensions. This lucid yet thorough account of convection-dominated convection-diffusion problems and how to solve them numerically is meant for beginning graduate students, and it includes a large number of exercises. An up-to-date bibliography provides the reader with further reading.
