Differential Equations & Nonlinearity

Per Page:

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...

Optimization and Differentiation

Simon Serovajsky
October 13, 2017

Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal...

Variational-Hemivariational Inequalities with Applications

Mircea Sofonea, Stanislaw Migorski
October 13, 2017

This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors’ original results, it introduces a general fixed point principle and its...

Theory of Differential Equations in Engineering and Mechanics

Kam Tim Chau
September 22, 2017

This gives comprehensive coverage of the essential differential equations students they are likely to encounter in solving engineering and mechanics problems across the field -- alongside a more advance volume on applications. This first volume covers a very broad range of theories related to...

Differential Equations for Engineers: The Essentials

David V. Kalbaugh
September 01, 2017

This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces each topic with a motivating application drawn from electrical, mechanical, and aerospace...

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...

Block Method for Solving the Laplace Equation and for Constructing Conformal Mappings

Evgenii A. Volkov
July 13, 2017

This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon. This method, called the approximate block method, overcomes indicated difficulties and has qualitatively more rapid convergence than well-known difference and...

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...