The Concept Of Stability In Numerical Mathematics
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The Concept of Stability in Numerical Mathematics
Author: Wolfgang Hackbusch
language: en
Publisher: Springer Science & Business Media
Release Date: 2014-02-06
In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations. In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.
Mathematical Methods for the Assessment and Control of Industrial Emissions
This book delves onto modern mathematical methods aimed at mitigating environmental pollution risks caused by industrial activities. Showing the alarming global issue of industrial pollution, the text explores the complexities of emission control strategies and dispersion models. Through a systematic approach, readers will gain insights into the utilization of mathematical models to assess pollutant dispersion, regulate emissions, and pinpoint sources of excessive pollution. With a focus on averting health risks and ensuring compliance with sanitary standards, the book elucidates the application of control strategies to manage pollutant concentrations effectively. From differential equations to optimization theory, the narrative navigates through interdisciplinary concepts, offering a wealth of knowledge for researchers, professionals, and students alike. Chapters brim with illustrative examples, shedding light on air and marine pollution control, while emphasizing the versatility of the discussed strategies. Whether tackling two-dimensional or three-dimensional dispersion models, the book equips readers with essential tools to confront the pressing challenges of industrial pollution in both developed and developing regions.
Encyclopaedia of Mathematics
Author: Michiel Hazewinkel
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.