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Convergence Of Linear Multistep Methods For A Class Of Delay Integro Differential Equations
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Book Synopsis Numerical Methods for Delay Differential Equations by : Alfredo Bellen
Download or read book Numerical Methods for Delay Differential Equations written by Alfredo Bellen and published by Numerical Mathematics and Scie. This book was released on 2013-01-10 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book describes, analyses, and improves various approaches and techniques for the numerical solution of delay differential equations. It includes a list of available codes and also aids the reader in writing his or her own.
Book Synopsis Numerical Mathematics Singapore 1988 by : Agarwal
Download or read book Numerical Mathematics Singapore 1988 written by Agarwal and published by Birkhäuser. This book was released on 2013-11-21 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis SIAM Journal on Scientific Computing by :
Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 2006 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances On Computer Mathematics And Its Applications by : Elias A Lipitakis
Download or read book Advances On Computer Mathematics And Its Applications written by Elias A Lipitakis and published by World Scientific Publishing Company. This book was released on 1993-11-19 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected papers of the proceedings of the first Hellenic Conference on Mathematics and Informatics (HERMIS '92). The main theme for HERMIS '92 Conference was Computer Mathematics, with special emphasis on Computational Mathematics, Operational Research and Statistics, and Mathematics in Economic Science. The presented papers of the HERMIS Conference have been classified into the following technical sessions: Numerical solution of Differential Equations, Parallel Processing and Parallel Algorithms, Optimization and Approximation, Algorithms in Operational Research and Control Theory, Statistical Methods and Analysis, Mathematics in Economic Science, Artificial Intelligence and Data Bases Technology.In addition, a number of selected research articles published recently in the Hellenic Mathematical Society Bulletin in the form of special issues on Computer Mathematics (Volumes 31 and 32) are also included.
Book Synopsis Numerical Methods for Delay Differential Equations by : Alfredo Bellen
Download or read book Numerical Methods for Delay Differential Equations written by Alfredo Bellen and published by OUP Oxford. This book was released on 2003-03-20 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of the book is to introduce the readers to the numerical integration of the Cauchy problem for delay differential equations (DDEs). Peculiarities and differences that DDEs exhibit with respect to ordinary differential equations are preliminarily outlined by numerous examples illustrating some unexpected, and often surprising, behaviours of the analytical and numerical solutions. The effect of various kinds of delays on the regularity of the solution is described and some essential existence and uniqueness results are reported. The book is centered on the use of Runge-Kutta methods continuously extended by polynomial interpolation, includes a brief review of the various approaches existing in the literature, and develops an exhaustive error and well-posedness analysis for the general classes of one-step and multistep methods. The book presents a comprehensive development of continuous extensions of Runge-Kutta methods which are of interest also in the numerical treatment of more general problems such as dense output, discontinuous equations, etc. Some deeper insight into convergence and superconvergence of continuous Runge-Kutta methods is carried out for DDEs with various kinds of delays. The stepsize control mechanism is also developed on a firm mathematical basis relying on the discrete and continuous local error estimates. Classical results and a unconventional analysis of "stability with respect to forcing term" is reviewed for ordinary differential equations in view of the subsequent numerical stability analysis. Moreover, an exhaustive description of stability domains for some test DDEs is carried out and the corresponding stability requirements for the numerical methods are assessed and investigated. Alternative approaches, based on suitable formulation of DDEs as partial differential equations and subsequent semidiscretization are briefly described and compared with the classical approach. A list of available codes is provided, and illustrative examples, pseudo-codes and numerical experiments are included throughout the book.
Book Synopsis Bulletin by : Hellēnikē Mathēmatikē Hetaireia
Download or read book Bulletin written by Hellēnikē Mathēmatikē Hetaireia and published by . This book was released on 1990 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Analysis: Historical Developments in the 20th Century by : C. Brezinski
Download or read book Numerical Analysis: Historical Developments in the 20th Century written by C. Brezinski and published by Gulf Professional Publishing. This book was released on 2001-11-30 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical analysis has witnessed many significant developments in the 20th century. This book brings together 16 papers dealing with historical developments, survey papers and papers on recent trends in selected areas of numerical analysis, such as: approximation and interpolation, solution of linear systems and eigenvalue problems, iterative methods, quadrature rules, solution of ordinary-, partial- and integral equations. The papers are reprinted from the 7-volume project of the Journal of Computational and Applied Mathematics on '/homepage/sac/cam/na2000/index.htmlNumerical Analysis 2000'. An introductory survey paper deals with the history of the first courses on numerical analysis in several countries and with the landmarks in the development of important algorithms and concepts in the field.
Book Synopsis Proceedings of the Estonian Academy of Sciences, Physics and Mathematics by :
Download or read book Proceedings of the Estonian Academy of Sciences, Physics and Mathematics written by and published by . This book was released on 1999-06 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis New Zealand Journal of Mathematics by :
Download or read book New Zealand Journal of Mathematics written by and published by . This book was released on 2000 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability of Numerical Methods for Delay Differential Equations by : Jiaoxun Kuang
Download or read book Stability of Numerical Methods for Delay Differential Equations written by Jiaoxun Kuang and published by Elsevier. This book was released on 2005 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributed by Elsevier Science on behalf of Science Press. Available internationally for the first time, this book introduces the basic concepts and theory of the stability of numerical methods for solving differential equations, with emphasis on delay differential equations and basic techniques for proving stability of numerical methods. It is a desirable reference for engineers and academic researchers and can also be used by graduate students in mathematics, physics, and engineering. Emphasis on the stability of numerical methods for solving delay differential equations, which is vital for engineers and researchers applying these mathematical models Introduces basic concepts and theory as well as basic techniques for readers to apply in practice Can be used as for graduate courses or as a reference book for researchers and engineers in related areas Written by leading mathematicians from Shanghai Normal University in China
Book Synopsis Collocation Methods for Volterra Integral and Related Functional Differential Equations by : Hermann Brunner
Download or read book Collocation Methods for Volterra Integral and Related Functional Differential Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2004-11-15 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Proceedings of the Estonian Academy of Sciences, Physics and Mathematics by :
Download or read book Proceedings of the Estonian Academy of Sciences, Physics and Mathematics written by and published by . This book was released on 1999-06 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 1460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis British Reports, Translations and Theses by : British Library. Document Supply Centre
Download or read book British Reports, Translations and Theses written by British Library. Document Supply Centre and published by . This book was released on 1989 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1770 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific Computation and Differential Equations by : Christopher T. H. Baker
Download or read book Scientific Computation and Differential Equations written by Christopher T. H. Baker and published by . This book was released on 1994 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Computer Arithmetic, Algebra, OOP.
Book Synopsis Integral Equations by : Samad Noeiaghdam
Download or read book Integral Equations written by Samad Noeiaghdam and published by Mdpi AG. This book was released on 2021-10-29 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear and non-linear integral equations of the first and second kinds have many applications in engineering and real life problems. Thus, we try to find efficient and accurate methods to solve these problems. The aim of this editorial is to overview the content of the Special Issue "Integral Equations: Theories, Approximations and Applications". This Special Issue collects innovative contributions addressing the top challenges in integral equations, integro-differential equations, multi-dimensional problems, and ill-posed and singular problems with modern applications. It covers linear and non-linear integral equations of the first and second kinds, singular and ill-posed kernels, system of integral equations, high-dimensional problems, and especially new numerical, analytical, and semi-analytical methods for solving the problems mentioned by focusing on modern applications.
