Differential Equations category: 700 books

Cover of Elliptic–Hyperbolic Partial Differential Equations

Elliptic–Hyperbolic Partial Differential Equations

A Mini-Course in Geometric and Quasilinear Methods

by Thomas H. Otway
Language: English
Release Date: July 8, 2015

This text is a concise introduction to the partial differential equations which change from elliptic to hyperbolic type across a smooth hypersurface of their domain. These are becoming increasingly important in diverse sub-fields of both applied mathematics and engineering, for example:   • The...
Cover of Stability and Bifurcation Theory for Non-Autonomous Differential Equations

Stability and Bifurcation Theory for Non-Autonomous Differential Equations

Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera

by Russell Johnson, Maria Patrizia Pera, Sylvia Novo
Language: English
Release Date: December 14, 2012

This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation...
Cover of Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis

Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis

Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations

by Changpin Li, Yujiang Wu, Ruisong Ye
Language: English
Release Date: January 11, 2013

Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation. Fractional dynamics is...
Cover of Contributions to Nonlinear Elliptic Equations and Systems

Contributions to Nonlinear Elliptic Equations and Systems

A Tribute to Djairo Guedes de Figueiredo on the Occasion of his 80th Birthday

by
Language: English
Release Date: November 14, 2015

This volume of contributions pays tribute to the life and work of Djairo Guedes de Figueiredo on the occasion of his 80th birthday. The articles it contains were born out of the ICMC Summer Meeting on Differential Equations – 2014 Chapter, also dedicated to de Figueiredo and held at the Universidade...
Cover of Control of Partial Differential Equations

Control of Partial Differential Equations

Cetraro, Italy 2010, Editors: Piermarco Cannarsa, Jean-Michel Coron

by Piermarco Cannarsa, Roger Brockett, Olivier Glass
Language: English
Release Date: April 23, 2012

The term “control theory” refers to the body of results - theoretical, numerical and algorithmic - which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different...
Cover of Dynamics of Partial Differential Equations
by C. Eugene Wayne, Michael I. Weinstein
Language: English
Release Date: August 8, 2015

This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently. Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex...
Cover of Topological Methods for Differential Equations and Inclusions
by John R. Graef, Johnny Henderson, Abdelghani Ouahab
Language: English
Release Date: September 25, 2018

Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove existence...
Cover of Applications of Differential Equations in Engineering and Mechanics
by Kam Tim Chau
Language: English
Release Date: January 8, 2019

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...
Cover of An Introduction to Ordinary Differential Equations
by Earl A. Coddington
Language: English
Release Date: April 20, 2012

"Written in an admirably cleancut and economical style." — Mathematical Reviews.This concise text offers undergraduates in mathematics and science a thorough and systematic first course in elementary differential equations. Presuming a knowledge of basic calculus, the book first reviews the mathematical...
Cover of Handbook of Differential Equations: Evolutionary Equations
by
Language: English
Release Date: August 24, 2004

This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous, and in depth surveys on the most important aspects of the present theory. The table of contents includes: W.Arendt:...
Cover of Surveys in Differential-Algebraic Equations I
by
Language: English
Release Date: March 19, 2013

The need for a rigorous mathematical theory for Differential-Algebraic Equations (DAEs) has its roots in the widespread applications of controlled dynamical systems, especially in mechanical and electrical engineering. Due to the strong relation to (ordinary) differential equations, the literature...
Cover of Numerical Methods for Nonlinear Partial Differential Equations
by Sören Bartels
Language: English
Release Date: January 19, 2015

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly...
Cover of Numerical Methods for Partial Differential Equations

Numerical Methods for Partial Differential Equations

Finite Difference and Finite Volume Methods

by Sandip Mazumder, Ph.D.
Language: English
Release Date: December 1, 2015

Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending...
Cover of Solutions Manual to accompany Ordinary Differential Equations
by Michael D. Greenberg
Language: English
Release Date: August 28, 2014

Features a balance between theory, proofs, and examples and provides applications across diverse fields of study Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order.
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