Posted by **AvaxGenius** at April 23, 2018

This is the first book devoted to the task of computing integrability structures by computer. The symbolic computation of integrability operator is a computationally hard problem and the book covers a huge number of situations through tutorials. The mathematical part of the book is a new approach to integrability structures that allows to treat all of them in a unified way. The software is an official package of Reduce. Reduce is free software, so everybody can download it and make experiments using the programs available at our website.

Posted by **AvaxGenius** at April 21, 2018

English | PDF | 2011 | 530 Pages | ISBN : 3642168299 | 5.38 MB

In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schrödinger equations. It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity.

Posted by **AvaxGenius** at April 19, 2018

English | PDF,EPUB | 2018 | 356 Pages | ISBN : 9811090033 | 20.57 MB

The main theme of this book is recent progress in structure-preserving algorithms for solving initial value problems of oscillatory differential equations arising in a variety of research areas, such as astronomy, theoretical physics, electronics, quantum mechanics and engineering. It systematically describes the latest advances in the development of structure-preserving integrators for oscillatory differential equations, such as structure-preserving exponential integrators, functionally fitted energy-preserving integrators, exponential Fourier collocation methods, trigonometric collocation methods, and symmetric and arbitrarily high-order time-stepping methods.

Posted by **step778** at April 19, 2018

2007 | pages: 349 | ISBN: 443173239X | PDF | 3,8 mb

Posted by **hill0** at April 18, 2018

English | 17 Jan. 2018 | ISBN: 9813229179 | 300 Pages | PDF | 5 MB

Posted by **AvaxGenius** at April 15, 2018

The book contains a selection of contributions given at the 23th Congress on Differential Equations and Applications (CEDYA) / 13th Congress of Applied Mathematics (CMA) that took place at Castellon, Spain, in 2013. CEDYA is renowned as the congress of the Spanish Society of Applied Mathematics (SEMA) and constitutes the main forum and meeting point for applied mathematicians in Spain.

Posted by **IrGens** at April 15, 2018

English | December 16, 2014 | ISBN: 1439851042 | PDF | 731 pages | 18.2 MB

Posted by **Jeembo** at April 14, 2018

English | 2012 | ISBN: 1429275928 | 313 Pages | PDF | 12.1 MB

Drawing on his decade of experience teaching the differential equations course, John Davis offers a refreshing and effective new approach to partial differential equations that is equal parts computational proficiency, visualization, and physical interpretation of the problem at hand.

Posted by **AvaxGenius** at April 14, 2018

English | PDF(Repost),EPUB | 2014 | 416 Pages | ISBN : 1461457874 | ASIN: 1447154592 | 10.47 MB

This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions.

Posted by **AvaxGenius** at April 14, 2018

English | PDF | 1999 | 573 Pages | ISBN : 1461268214 | 45.82 MB

Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginning graduate student in applied mathematics and engineering, this text offers a means of coming out of a course with a large number of methods that provide both theoretical knowledge and numerical experience. The reader will learn that numerical experimentation is a part of the subject of numerical solution of partial differential equations, and will be shown some uses and taught some techniques of numerical experimentation.