Collocation Methods For Multidimensional Weakly Singular Integral Equations
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Collocation Methods For Multidimensional Weakly Singular Integral Equations
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Author : Gennadi Vainikko
language : de
Publisher:
Release Date : 1989
Collocation Methods For Multidimensional Weakly Singular Integral Equations written by Gennadi Vainikko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Multidimensional Weakly Singular Integral Equations
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Author : Gennadi Vainikko
language : en
Publisher: Springer
Release Date : 2006-11-15
Multidimensional Weakly Singular Integral Equations written by Gennadi Vainikko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing sharp estimates of the growth of the derivatives of the solution near the boundary G. The superconvergence effect of collocation methods at the collocation points is established. This is a book for graduate students and researchers in the fields of analysis, integral equations, mathematical physics and numerical methods. No special knowledge beyond standard undergraduate courses is assumed.
Collocation Methods For Multidimensional Weakly Singular Integral Equations
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Author : G. Vainikko
language : en
Publisher:
Release Date : 1989
Collocation Methods For Multidimensional Weakly Singular Integral Equations written by G. Vainikko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Collocation Methods For Volterra Integral And Related Functional Differential Equations
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Author : Hermann Brunner
language : en
Publisher: Cambridge University Press
Release Date : 2004-11-15
Collocation Methods For Volterra Integral And Related Functional Differential Equations written by Hermann Brunner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-15 with Mathematics categories.
Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present book introduces the reader to the general principles underlying these methods and then describes in detail their convergence properties when applied to ordinary differential equations, functional equations with (Volterra type) memory terms, delay equations, and differential-algebraic and integral-algebraic equations. Each chapter starts with a self-contained introduction to the relevant theory of the class of equations under consideration. Numerous exercises and examples are supplied, along with extensive historical and bibliographical notes utilising the vast annotated reference list of over 1300 items. In sum, Hermann Brunner has written a treatise that can serve as an introduction for students, a guide for users, and a comprehensive resource for experts.
Splitting Extrapolation Method The A New Technique In Numerical Solution Of Multidimensional Prob
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Author : C B Liem
language : en
Publisher: World Scientific
Release Date : 1995-09-30
Splitting Extrapolation Method The A New Technique In Numerical Solution Of Multidimensional Prob written by C B Liem and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-30 with Mathematics categories.
The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems. It overcomes the difficulties arising from Richardson's extrapolation when applied to these problems and obtains higher accuracy solutions with lower cost and a high degree of parallelism. The method is particularly suitable for solving large scale scientific and engineering problems.This book presents applications of the method to multidimensional integration, integral equations and partial differential equations. It also gives an introduction to combination methods which are relevant to splitting extrapolation. The book is intended for those who may exploit these methods and it requires only a basic knowledge of numerical analysis.
Integral Methods In Science And Engineering Volume 2
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Author : Maria Eugenia Perez
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-10
Integral Methods In Science And Engineering Volume 2 written by Maria Eugenia Perez 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 2009-12-10 with Mathematics categories.
The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of boundary integral methods to the application of integration-based analytic and computational techniques in almost all aspects of today's technological world. Both volumes are useful references for a broad audience of professionals, including pure and applied mathematicians, physicists, biologists, and mechanical, civil, and electrical engineers, as well as graduate students, who use integration as a fundamental technique in their research.
Proceedings Of The Estonian Academy Of Sciences Physics And Mathematics
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Author :
language : en
Publisher:
Release Date : 1999-06
Proceedings Of The Estonian Academy Of Sciences Physics And 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 1999-06 with categories.
Advanced Numerical Methods In Applied Sciences
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Author : Luigi Brugnano
language : en
Publisher: MDPI
Release Date : 2019-06-20
Advanced Numerical Methods In Applied Sciences written by Luigi Brugnano and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-20 with Juvenile Nonfiction categories.
The use of scientific computing tools is currently customary for solving problems at several complexity levels in Applied Sciences. The great need for reliable software in the scientific community conveys a continuous stimulus to develop new and better performing numerical methods that are able to grasp the particular features of the problem at hand. This has been the case for many different settings of numerical analysis, and this Special Issue aims at covering some important developments in various areas of application.
Proceedings Of The Estonian Academy Of Sciences Physics And Mathematics
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Author :
language : en
Publisher:
Release Date : 2002-09
Proceedings Of The Estonian Academy Of Sciences Physics And 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 2002-09 with categories.
Proceedings Of The Estonian Academy Of Sciences Physics And Mathematics
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2001-09
Proceedings Of The Estonian Academy Of Sciences Physics And 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 2001-09 with categories.