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Industrial Mathematics

Author: Glenn R. Fulford
Publisher: Cambridge University Press
ISBN: 9780521001816
Size: 63.69 MB
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An undergraduate text focussing on mathematical modelling stimulated by contemporary industrial problems.

Singular Perturbation Theory

Author: R.S. Johnson
Publisher: Springer Science & Business Media
ISBN: 9780387232171
Size: 20.64 MB
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The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, is well established. The purpose of the set of volumes to which the present one belongs is to make available authoritative, up to date, and self-contained accounts of some of the most important and useful of these analytical approaches and techniques. Each volume provides a detailed introduction to a specific subject area of current importance that is summarized below, and then goes beyond this by reviewing recent contributions, and so serving as a valuable reference source. The progress in applicable mathematics has been brought about by the extension and development of many important analytical approaches and techniques, in areas both old and new, frequently aided by the use of computers without which the solution of realistic problems would otherwise have been impossible.

Modelling With Differential And Difference Equations

Author: Glenn Fulford
Publisher: Cambridge University Press
ISBN: 9780521446181
Size: 50.65 MB
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The theme of this book is modeling the real world using mathematics. The authors concentrate on the techniques used to set up mathematical models and describe many systems in full detail, covering both differential and difference equations in depth. Among the broad spectrum of topics studied in this book are: mechanics, genetics, thermal physics, economics and population studies.

Adaptive Discontinuous Galerkin Methods For Non Linear Reactive Flows

Author: Murat Uzunca
Publisher: Birkhäuser
ISBN: 3319301306
Size: 56.49 MB
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The focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear advection diffusion reaction (ADR) equations with internal/boundary layers in an accurate and efficient way. After introducing the ADR equations and discontinuous Galerkin discretization, robust residual-based a posteriori error estimators in space and time are derived. The elliptic reconstruction technique is then utilized to derive the a posteriori error bounds for the fully discrete system and to obtain optimal orders of convergence.As coupled surface and subsurface flow over large space and time scales is described by (ADR) equation the methods described in this book are of high importance in many areas of Geosciences including oil and gas recovery, groundwater contamination and sustainable use of groundwater resources, storing greenhouse gases or radioactive waste in the subsurface.

Mathematical Models In The Applied Sciences

Author: A. C. Fowler
Publisher: Cambridge University Press
ISBN: 9780521467032
Size: 76.79 MB
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Presents a thorough grounding in the techniques of mathematical modelling, and proceeds to explore a range of classical and continuum models from an array of disciplines.

Neverending Fractions

Author: Jonathan Borwein
Publisher: Cambridge University Press
ISBN: 0521186498
Size: 41.19 MB
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This introductory text covers a variety of applications to interest every reader, from researchers to amateur mathematicians.