Exponentially Convergent Algorithms For Abstract Differential Equations

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Exponentially Convergent Algorithms For Abstract Differential Equations

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Author : Ivan Gavrilyuk
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-17

Exponentially Convergent Algorithms For Abstract Differential Equations written by Ivan Gavrilyuk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-17 with Mathematics categories.

This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for practical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential equations (ODE) as well as of partial differential equations (PDEs) describing various applied problems. The framework of functional analysis allows one to obtain very general but at the same time transparent algorithms and mathematical results which then can be applied to mathematical models of the real world. The problem class includes initial value problems (IVP) for first order differential equations with constant and variable unbounded operator coefficients in a Banach space (the heat equation is a simple example), boundary value problems for the second order elliptic differential equation with an operator coefficient (e.g. the Laplace equation), IVPs for the second order strongly damped differential equation as well as exponentially convergent methods to IVPs for the first order nonlinear differential equation with unbounded operator coefficients. For researchers and students of numerical functional analysis, engineering and other sciences this book provides highly efficient algorithms for the numerical solution of differential equations and applied problems.

An Exponential Convergent Algorithm For Nonlinear Differential Equations In Banach Spaces

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Author : Ivan P. Gavriljuk
language : en
Publisher:
Release Date : 2005

An Exponential Convergent Algorithm For Nonlinear Differential Equations In Banach Spaces written by Ivan P. Gavriljuk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.

Recent Advances In Differential Equations

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Author : H-H Dai
language : en
Publisher: CRC Press
Release Date : 2020-01-30

Recent Advances In Differential Equations written by H-H Dai and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-30 with Mathematics categories.

The First Pan-China Conference on Differential Equations was held in Kunming, China in June of 1997. Researchers from around the world attended-including representatives from the US, Canada, and the Netherlands-but the majority of the speakers hailed from China and Hong Kong. This volume contains the plenary lectures and invited talks presented at that conference, and provides an excellent view of the research on differential equations being carried out in China. Most of the subjects addressed arose from actual applications and cover ordinary and partial differential equations. Topics include:

Modern Analysis And Applications

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Author : Vadim Adamyan
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-29

Modern Analysis And Applications written by Vadim Adamyan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-29 with Mathematics categories.

This is the second of two volumes containing peer-reviewed research and survey papers based on talks at the International Conference on Modern Analysis and Applications. The papers describe the contemporary development of subjects influenced by Mark Krein.

Technical Abstract Bulletin

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Author :
language : en
Publisher:
Release Date :

Technical Abstract Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.

Structure Preserving Algorithms For Oscillatory Differential Equations

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Author : Xinyuan Wu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-02

Structure Preserving Algorithms For Oscillatory Differential Equations written by Xinyuan Wu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-02 with Technology & Engineering categories.

Structure-Preserving Algorithms for Oscillatory Differential Equations describes a large number of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation. Structure-preserving algorithms for differential equations, especially for oscillatory differential equations, play an important role in the accurate simulation of oscillatory problems in applied sciences and engineering. The book discusses novel advances in the ARKN, ERKN, two-step ERKN, Falkner-type and energy-preserving methods, etc. for oscillatory differential equations. The work is intended for scientists, engineers, teachers and students who are interested in structure-preserving algorithms for differential equations. Xinyuan Wu is a professor at Nanjing University; Xiong You is an associate professor at Nanjing Agricultural University; Bin Wang is a joint Ph.D student of Nanjing University and University of Cambridge.

Advances In Difference Equations

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Author : Saber N. Elaydi
language : en
Publisher: CRC Press
Release Date : 1998-01-29

Advances In Difference Equations written by Saber N. Elaydi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-29 with Mathematics categories.

The recent surge in research activity in difference equations and applications has been driven by the wide applicability of discrete models to such diverse fields as biology, engineering, physics, economics, chemistry, and psychology. The 68 papers that make up this book were presented by an international group of experts at the Second International Conference on Difference Equations, held in Veszprém, Hungary, in August, 1995. Featuring contributions on such topics as orthogonal polynomials, control theory, asymptotic behavior of solutions, stability theory, special functions, numerical analysis, oscillation theory, models of vibrating string, models of chemical reactions, discrete competition systems, the Liouville-Green (WKB) method, and chaotic phenomena, this volume offers a comprehensive review of the state of the art in this exciting field.

Computational Methods In Applied Mathematics

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Author :
language : en
Publisher:
Release Date : 2006

Computational Methods In Applied Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Engineering mathematics categories.

Scientific And Technical Aerospace Reports

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Author :
language : en
Publisher:
Release Date : 1995

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Aeronautics categories.

International Conference On Differential Equations Approximations And Applications 2001

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Author :
language : en
Publisher: Dr. Vuong Quan Hoang
Release Date :

International Conference On Differential Equations Approximations And Applications 2001 written by and has been published by Dr. Vuong Quan Hoang this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.