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Partial Differential Equation Analysis in Biomedical Engineering: Case Studies with Matlab
Partial Differential Equation Analysis in Biomedical Engineering: Case Studies with Matlab

Aimed at graduates and researchers, and requiring only a basic knowledge of multi-variable calculus, this introduction to computer-based partial differential equation (PDE) modeling provides readers with the practical methods necessary to develop and use PDE mathematical models in biomedical engineering. Taking an applied approach, rather...

Solving PDEs in C++ (Computational Science and Engineering)
Solving PDEs in C++ (Computational Science and Engineering)
This comprehensive book not only introduces the C and C++ programming languages but also shows how to use them in the numerical solution of partial differential equations (PDEs). It leads the reader through the entire solution process, from the original PDE, through the discretization stage, to the numerical solution of the resulting algebraic...
Principles of Partial Differential Equations (Problem Books in Mathematics)
Principles of Partial Differential Equations (Problem Books in Mathematics)

This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques. The...

Constant Mean Curvature Surfaces with Boundary (Springer Monographs in Mathematics)
Constant Mean Curvature Surfaces with Boundary (Springer Monographs in Mathematics)

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the...

The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering)
The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering)

This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational...

Computer Algebra Recipes: An Advanced Guide to Scientific Modeling
Computer Algebra Recipes: An Advanced Guide to Scientific Modeling
A computer algebra system (CAS) not only has the number \crunching" and plotting capability of traditional computing languages such as Fortran and C, but also allows one to perform the symbolic manipulations and derivations required in most mathematically based science and engineering courses. To introduce students in these disciplines to...
Pedestrian Dynamics: Feedback Control of Crowd Evacuation (Understanding Complex Systems)
Pedestrian Dynamics: Feedback Control of Crowd Evacuation (Understanding Complex Systems)
The importance of controlling pedestrian flow especially during emergencies is being understood by researchers to be a very important research area. Currently, the use of static emergency routes is not efficient, since during emergencies, the preferred routes might be congested, or worse yet might not even exist. Hence, it is...
Numerical Solution of Partial Differential Equations on Parallel Computers
Numerical Solution of Partial Differential Equations on Parallel Computers

Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need...

Problems on Partial Differential Equations (Problem Books in Mathematics)
Problems on Partial Differential Equations (Problem Books in Mathematics)

This book covers a diverse range of topics in Mathematical Physics, linear and nonlinear PDEs. Though the text reflects the classical theory, the main emphasis is on introducing readers to the latest developments based on the notions of weak solutions and Sobolev spaces.

In numerous problems, the student is asked to...

Applications of Symmetry Methods to Partial Differential Equations (Applied Mathematical Sciences)
Applications of Symmetry Methods to Partial Differential Equations (Applied Mathematical Sciences)

This is an accessible book on the advanced symmetry methods for differential equations. Subjects such as conservation laws, Lie-Bäcklund symmetries, contact transformations, adjoint symmetries, Nöther's Theorem, mappings with some modification, potential symmetries, nonlocal symmetries, nonlocal mappings, and non-classical...

Financial Instrument Pricing Using C++ (The Wiley Finance Series)
Financial Instrument Pricing Using C++ (The Wiley Finance Series)

The goal of this book is to model financial instruments, such as options, bonds and interest-rate products by partial differential equations, finite differences and C++. It is intended for IT and quantitative finance professionals who know this material and wish to deepen their knowledge and for those readers who use...

Hypernumbers and Extrafunctions: Extending the Classical Calculus (SpringerBriefs in Mathematics)
Hypernumbers and Extrafunctions: Extending the Classical Calculus (SpringerBriefs in Mathematics)

“Hypernumbers and Extrafunctions” presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based on real functions by...

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