Differential Equations & Nonlinearity

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Differential Equations with Applications and Historical Notes, Third Edition


George F. Simmons
September 27, 2016

Fads are as common in mathematics as in any other human activity, and it is always difficult to separate the enduring from the ephemeral in the achievements of one’s own time. An unfortunate effect of the predominance of fads is that if a student doesn’t learn about such worthwhile topics as the...

Artificial Neural Networks for Engineers and Scientists: Solving Ordinary Differential Equations

S. Chakraverty, Susmita Mall
July 14, 2017

Differential equations play a vital role in the fields of engineering and science. Problems in engineering and science can be modeled using ordinary or partial differential equations. Analytical solutions of differential equations may not be obtained easily, so numerical methods have been developed...

Difference Equations: Theory, Applications and Advanced Topics, Third Edition

Ronald E. Mickens
July 01, 2017

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of...

Green’s Functions with Applications, Second Edition

Dean G. Duffy
July 01, 2017

Since publication of the first edition over a decade ago, Green’s Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green’s function. This fully revised Second Edition retains the same purpose, but...

Applications of Lie Groups to Difference Equations

Vladimir Dorodnitsyn
June 16, 2017

Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for...

Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations

Mark McKibben
June 14, 2017

Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually builds intuition and culminates in exploring active research. It gives nonspecialists, even those...

Decomposition Methods for Differential Equations: Theory and Applications

Juergen Geiser
June 14, 2017

Decomposition Methods for Differential Equations: Theory and Applications describes the analysis of numerical methods for evolution equations based on temporal and spatial decomposition methods. It covers real-life problems, the underlying decomposition and discretization, the stability and...

Discovering Evolution Equations with Applications: Volume 2-Stochastic Equations

Mark McKibben
June 14, 2017

Most existing books on evolution equations tend either to cover a particular class of equations in too much depth for beginners or focus on a very specific research direction. Thus, the field can be daunting for newcomers to the field who need access to preliminary material and behind-the-scenes...

Dynamics of the Chemostat: A Bifurcation Theory Approach

Abdelhamid Ajbar, Khalid Alhumaizi
June 07, 2017

A ubiquitous tool in mathematical biology and chemical engineering, the chemostat often produces instabilities that pose safety hazards and adversely affect the optimization of bioreactive systems. Singularity theory and bifurcation diagrams together offer a useful framework for addressing these...

Introduction to Functional Equations

Prasanna K. Sahoo, Palaniappan Kannappan
May 31, 2017

Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville. This introductory text communicates an elementary exposition of valued functional equations where the unknown functions take on real or complex values....

Handbook of Sinc Numerical Methods

Frank Stenger
May 31, 2017

Handbook of Sinc Numerical Methods presents an ideal road map for handling general numeric problems. Reflecting the author’s advances with Sinc since 1995, the text most notably provides a detailed exposition of the Sinc separation of variables method for numerically solving the full range of...

Spectral and Scattering Theory for Second Order Partial Differential Operators

Kiyoshi Mochizuki
April 28, 2017

The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half of this book, the classical results of...

Neutron Diffusion: Concepts and Uncertainty Analysis for Engineers and Scientists

S. Chakraverty, Sukanta Nayak
March 09, 2017

This book is designed for a systematic understanding of nuclear diffusion theory along with fuzzy/interval/stochastic uncertainty. This will serve to be a benchmark book for graduate & postgraduate students, teachers, engineers and researchers throughout the globe. In view of the recent...