Differential Equations & Nonlinearity

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Sturm-Liouville Problems: Theory and Numerical Implementation

1st Edition


Ronald B. Guenther, John W Lee
November 8, 2018

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ordinary and partial differential equations. Sturm-Liouville Problems: Theory and Numerical Implementat...

Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces

1st Edition

Behzad Djafari Rouhani, Hadi Khatibzadeh
March 21, 2019

This book is devoted to the study of nonlinear evolution and difference equations of first and second order governed by a maximal monotone operator. This class of abstract evolution equations contains not only a class of ordinary differential equations, but also unify some important partial...

Revival: Block Method for Solving the Laplace Equation and for Constructing Conformal Mappings (1994)

1st Edition

Evgenii A. Volkov
February 20, 2019

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...

Revival: Numerical Solution Of Convection-Diffusion Problems (1996)

1st Edition

K.W. Morton
January 29, 2019

Accurate modeling of the interaction between convective and diffusive processes is one of the most common challenges in the numerical approximation of partial differential equations. This is partly due to the fact that numerical algorithms, and the techniques used for their analysis, tend to be...

Variational Techniques for Elliptic Partial Differential Equations: Theoretical Tools and Advanced Applications

1st Edition

Francisco J. Sayas, Thomas S. Brown, Matthew E. Hassell
January 25, 2019

Variational Techniques for Elliptic Partial Differential Equations, intended for graduate students studying applied math, analysis, and/or numerical analysis, provides the necessary tools to understand the structure and solvability of elliptic partial differential equations. Beginning with the...

Sequential Models of Mathematical Physics

1st Edition

Simon Serovajsky
January 25, 2019

The equations of mathematical physics are the mathematical models of the large class of phenomenon of physics, chemistry, biology, economics, etc. In Sequential Models of Mathematical Physics, the author considers the justification of the process of constructing mathematical models. The book seeks...

Dynamical Systems: Theories and Applications

1st Edition

Zeraoulia Elhadj
January 22, 2019

Chaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly. Chaos is used for novel, time- or energy-critical interdisciplinary applications. Examples include high-performance circuits and devices, liquid mixing, chemical...

Analysis on Function Spaces of Musielak-Orlicz Type

1st Edition

Osvaldo Mendez, Jan Lang
December 13, 2018

Analysis on Function Spaces of Musielak-Orlicz Type provides a state-of-the-art survey on the theory of function spaces of Musielak-Orlicz type. The book also offers readers a step-by-step introduction to the theory of Musielak–Orlicz spaces, and introduces associated function spaces, extending up...

Elementary Differential Equations: Applications, Models, and Computing

2nd Edition

Charles Roberts
December 13, 2018

Elementary Differential Equations, Second Edition is written with the knowledge that there has been a dramatic change in the past century in how solutions to differential equations are calculated. However, the way the topic has been taught in introductory courses has barely changed to reflect...

Novel Methods for Solving Linear and Nonlinear Integral Equations

1st Edition

Santanu Saha Ray, Prakash Kumar Sahu
December 13, 2018

This book deals with the numerical solution of integral equations based on approximation of functions and the authors apply wavelet approximation to the unknown function of integral equations. The book's goal is to categorize the selected methods and assess their accuracy and efficiency....

Nonlinear Control and Filtering for Stochastic Networked Systems

1st Edition

Lifeng Ma, Zidong Wang, Yuming Bo
December 13, 2018

In this book, control and filtering problems for several classes of stochastic networked systems are discussed. In each chapter, the stability, robustness, reliability, consensus performance, and/or disturbance attenuation levels are investigated within a unified theoretical framework. The aim is...

Applications of Differential Equations in Engineering and Mechanics

1st Edition

Kam Tim Chau
December 11, 2018

This second of two comprehensive reference texts on differential equations continues coverage of the essential material students they are likely to encounter in solving engineering and mechanics problems across the field - alongside a preliminary volume on theory. This book covers a very broad...

Nonlinear Systems and Their Remarkable Mathematical Structures: Volume I

1st Edition

Norbert Euler
December 03, 2018

Nonlinear Systems and Their Remarkable Mathematical Structures aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). Written by experts, each chapter is self-contained and aims to clearly illustrate some of the...