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Some Recent Advances In Partial Difference Equations


Some Recent Advances In Partial Difference Equations
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Some Recent Advances In Partial Difference Equations


Some Recent Advances In Partial Difference Equations
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Author : Eugenia N. Petropoulou
language : en
Publisher: Bentham Science Publishers
Release Date : 2010-12-13

Some Recent Advances In Partial Difference Equations written by Eugenia N. Petropoulou and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-13 with Mathematics categories.


Lately there is an increasing interest in partial difference equations demonstrated by the enormous amount of research papers devoted to them. The initial reason for this increasing interest was the development of computers and the area of numerical analy



Some Recent Advances In Partial Difference Equations


Some Recent Advances In Partial Difference Equations
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Author :
language : en
Publisher:
Release Date : 2010

Some Recent Advances In Partial Difference Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Difference algebra categories.


Lately there is an increasing interest in partial difference equations demonstrated by the enormous amount of research papers devoted to them. The initial reason for this increasing interest was the development of computers and the area of numerical analysis, where partial difference equations arise naturally when discretizing a partial differential equation. The aim of this e-book is to provide some recent advances in the field of partial difference equations. Applications of partial difference equations in numerical analysis and systems theory are also presented. This e-book will be of use t



Recent Advances In Partial Differential Equations Venice 1996


Recent Advances In Partial Differential Equations Venice 1996
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Author : Peter D. Lax
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Recent Advances In Partial Differential Equations Venice 1996 written by Peter D. Lax and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


Lax and Nirenberg are two of the most distinguished mathematicians of our times. Their work on partial differential equations (PDEs) over the last half-century has dramatically advanced the subject and has profoundly influenced the course of mathematics. A huge part of the development in PDEs during this period has either been through their work, motivated by it or achieved by their postdocs and students. A large number of mathematicians honored these two exceptional scientists in a week-long conference in Venice (June 1996) on the occasion of their 70th birthdays. This volume contains the proceedings of the conference, which focused on the modern theory of nonlinear PDEs and their applications. Among the topics treated are turbulence, kinetic models of a rarefied gas, vortex filaments, dispersive waves, singular limits and blow-up solutions, conservation laws, Hamiltonian systems and others. The conference served as a forum for the dissemination of new scientific ideas and discoveries and enhanced scientific communication by bringing together such a large number of scientists working in related fields. THe event allowed the international mathematics community to honor two of its outstanding members.



Recent Advances In Partial Differential Equations And Applications


Recent Advances In Partial Differential Equations And Applications
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Author : Vicenţiu D. Rădulescu
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-06-28

Recent Advances In Partial Differential Equations And Applications written by Vicenţiu D. Rădulescu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-28 with Mathematics categories.


This volume contains the proceedings of the International Conference on Recent Advances in PDEs and Applications, in honor of Hugo Beirão da Veiga's 70th birthday, held from February 17–21, 2014, in Levico Terme, Italy. The conference brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide-ranging influence of Hugo Beirão da Veiga on the field of partial differential equations, in particular those related to fluid dynamics. In his own work, da Veiga has been a seminal influence in many important areas: Navier-Stokes equations, Stokes systems, non-Newtonian fluids, Euler equations, regularity of solutions, perturbation theory, vorticity phenomena, and nonlinear potential theory, as well as various degenerate or singular models in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume.



Recent Advances In Harmonic Analysis And Partial Differential Equations


Recent Advances In Harmonic Analysis And Partial Differential Equations
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Author : Andrea R. Nahmod
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Recent Advances In Harmonic Analysis And Partial Differential Equations written by Andrea R. Nahmod and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


This volume is based on the AMS Special Session on Harmonic Analysis and Partial Differential Equations and the AMS Special Session on Nonlinear Analysis of Partial Differential Equations, both held March 12-13, 2011, at Georgia Southern University, Statesboro, Georgia, as well as the JAMI Conference on Analysis of PDEs, held March 21-25, 2011, at Johns Hopkins University, Baltimore, Maryland. These conferences all concentrated on problems of current interest in harmonic analysis and PDE, with emphasis on the interaction between them. This volume consists of invited expositions as well as research papers that address prospects of the recent significant development in the field of analysis and PDE. The central topics mainly focused on using Fourier, spectral and geometrical methods to treat wellposedness, scattering and stability problems in PDE, including dispersive type evolution equations, higher-order systems and Sobolev spaces theory that arise in aspects of mathematical physics. The study of all these problems involves state-of-the-art techniques and approaches that have been used and developed in the last decade. The interrelationship between the theory and the tools reflects the richness and deep connections between various subjects in both classical and modern analysis.



Recent Advances In Delay Differential And Difference Equations


Recent Advances In Delay Differential And Difference Equations
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Author : Ferenc Hartung
language : en
Publisher: Springer
Release Date : 2014-08-22

Recent Advances In Delay Differential And Difference Equations written by Ferenc Hartung and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-22 with Mathematics categories.


Delay differential and difference equations serve as models for a range of processes in biology, physics, engineering and control theory. In this volume, the participants of the International Conference on Delay Differential and Difference Equations and Applications, Balatonfüred, Hungary, July 15-19, 2013 present recent research in this quickly-evolving field. The papers relate to the existence, asymptotic and oscillatory properties of the solutions; stability theory; numerical approximations; and applications to real world phenomena using deterministic and stochastic discrete and continuous dynamical systems.



Recent Advances In Numerical Methods For Partial Differential Equations And Applications


Recent Advances In Numerical Methods For Partial Differential Equations And Applications
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Author : Xiaobing Feng
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Recent Advances In Numerical Methods For Partial Differential Equations And Applications written by Xiaobing Feng and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.


This book is derived from lectures presented at the 2001 John H. Barrett Memorial Lectures at the University of Tennessee, Knoxville. The topic was computational mathematics, focusing on parallel numerical algorithms for partial differential equations, their implementation and applications in fluid mechanics and material science. Compiled here are articles from six of nine speakers. Each of them is a leading researcher in the field of computational mathematics and its applications. A vast area that has been coming into its own over the past 15 years, computational mathematics has experienced major developments in both algorithmic advances and applications to other fields. These developments have had profound implications in mathematics, science, engineering and industry. With the aid of powerful high performance computers, numerical simulation of physical phenomena is the only feasible method for analyzing many types of important phenomena, joining experimentation and theoretical analysis as the third method of scientific investigation. The three aspects: applications, theory, and computer implementation comprise a comprehensive overview of the topic. Leading lecturers were Mary Wheeler on applications, Jinchao Xu on theory, and David Keyes on computer implementation. Following the tradition of the Barrett Lectures, these in-depth articles and expository discussions make this book a useful reference for graduate students as well as the many groups of researchers working in advanced computations, including engineering and computer scientists.



Nonlinear Systems And Matrix Analysis Recent Advances In Theory And Applications


Nonlinear Systems And Matrix Analysis Recent Advances In Theory And Applications
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Author : Peter Chen
language : en
Publisher: BoD – Books on Demand
Release Date : 2024-11-27

Nonlinear Systems And Matrix Analysis Recent Advances In Theory And Applications written by Peter Chen and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-27 with Mathematics categories.


Nonlinear system analysis is of interest to engineers, sociologists, physicists, mathematicians, and many other scientists since most systems are inherently nonlinear in nature. In mathematics, a nonlinear system does not satisfy the superposition principle such as in a linear system. Therefore, the theories underlining nonlinear analysis and their applications need to be developed on their own merit. The first section of this book is a collection of examples reporting recent advances in both theory and applications of nonlinear system analysis. The contents of each chapter will provide in-depth foresight to interested readers. As numerical linearization to a set of matrix equations is still the principal method used to solve a nonlinear system, matrix analysis is the topic of the second section of this book. The matrices have invaded practically all areas of mathematics, the experimental and social sciences, engineering, and technology. This volume updates purely mathematical theoretical aspects, and it also presents concrete examples of the wide range of applications of matrix theory in other disciplines.



Difference Equations In Normed Spaces


Difference Equations In Normed Spaces
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Author : Michael Gil
language : en
Publisher: Elsevier
Release Date : 2007-01-08

Difference Equations In Normed Spaces written by Michael Gil and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-08 with Mathematics categories.


Difference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete. They also appear in the applications of discretization methods for differential, integral and integro-differential equations. The application of the theory of difference equations is rapidly increasing to various fields, such as numerical analysis, control theory, finite mathematics, and computer sciences. This book is devoted to linear and nonlinear difference equations in a normed space. The main methodology presented in this book is based on a combined use of recent norm estimates for operator-valued functions with the following methods and results: - The freezing method - The Liapunov type equation - The method of majorants - The multiplicative representation of solutions - Deals systematically with difference equations in normed spaces - Considers new classes of equations that could not be studied in the frameworks of ordinary and partial difference equations - Develops the freezing method and presents recent results on Volterra discrete equations - Contains an approach based on the estimates for norms of operator functions



Recent Advances In Green Technologies And Sustainable Development


Recent Advances In Green Technologies And Sustainable Development
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Author : Mahesh M Bundele
language : en
Publisher: CRC Press
Release Date : 2025-06-20

Recent Advances In Green Technologies And Sustainable Development written by Mahesh M Bundele and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-20 with Science categories.


Recent advances in green technologies and sustainable development deals with cutting-edge research and innovative ideas in different categories of green technologies and operational aspects of sustainable development including renewable energy sources, power systems, mathematical ecol□ogy, industrial technologies, construction and material sciences. The chapters are written by eminent and insightful authors to propose improvement and expansion of processes and applications connected to sustainable development. Environmental awareness and protection are one of the challenging issues of the new millennia. Industrialization and population explosion has opened new frontiers in the conservation of environmental protection. Rapid urbanization is proving to have direct consequences on the environment. The need of the hour is a balanced approach to multi layered conservative methods. Any sustainable devel□opment has a multifaceted approach, encompassing environmental, tech□nological, social, and economical developmental dimensions. This book focuses on these various issues in a progressive manner. The selected papers in this book have highlighted a plethora of issues related to green technology and sustainable development. Ample care has been given to selecting the papers which tried to bridge the gap between technological advancement and its impact on the environment.