Volterra Equations And Applications PDF Download
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Author | : C. Corduneanu |
Publisher | : CRC Press |
Total Pages | : 522 |
Release | : 2000-01-10 |
Genre | : Mathematics |
ISBN | : 9789056991715 |
Download Volterra Equations and Applications Book in PDF, ePub and Kindle
This volume comprises selected papers presented at the Volterra Centennial Symposium and is dedicated to Volterra and the contribution of his work to the study of systems - an important concept in modern engineering. Vito Volterra began his study of integral equations at the end of the nineteenth century and this was a significant development in the theory of integral equations and nonlinear functional analysis. Volterra series are of interest and use in pure and applied mathematics and engineering.
Author | : Peter Linz |
Publisher | : SIAM |
Total Pages | : 240 |
Release | : 1985-01-01 |
Genre | : Mathematics |
ISBN | : 9781611970852 |
Download Analytical and Numerical Methods for Volterra Equations Book in PDF, ePub and Kindle
Presents an aspect of activity in integral equations methods for the solution of Volterra equations for those who need to solve real-world problems. Since there are few known analytical methods leading to closed-form solutions, the emphasis is on numerical techniques. The major points of the analytical methods used to study the properties of the solution are presented in the first part of the book. These techniques are important for gaining insight into the qualitative behavior of the solutions and for designing effective numerical methods. The second part of the book is devoted entirely to numerical methods. The author has chosen the simplest possible setting for the discussion, the space of real functions of real variables. The text is supplemented by examples and exercises.
Author | : Hermann Brunner |
Publisher | : Cambridge University Press |
Total Pages | : 405 |
Release | : 2017-01-20 |
Genre | : Mathematics |
ISBN | : 1107098726 |
Download Volterra Integral Equations Book in PDF, ePub and Kindle
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Author | : G. Gripenberg |
Publisher | : Cambridge University Press |
Total Pages | : 727 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : 0521372895 |
Download Volterra Integral and Functional Equations Book in PDF, ePub and Kindle
This book looks at the theories of Volterra integral and functional equations.
Author | : C. Corduneanu |
Publisher | : CRC Press |
Total Pages | : 512 |
Release | : 2000-01-10 |
Genre | : Mathematics |
ISBN | : 1482287420 |
Download Volterra Equations and Applications Book in PDF, ePub and Kindle
This volume comprises selected papers presented at the Volterra Centennial Symposium and is dedicated to Volterra and the contribution of his work to the study of systems - an important concept in modern engineering. Vito Volterra began his study of integral equations at the end of the nineteenth century and this was a significant development in th
Author | : C. Corduneanu |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2008-12-04 |
Genre | : Mathematics |
ISBN | : 9780521091909 |
Download Integral Equations and Applications Book in PDF, ePub and Kindle
The purpose of this book is threefold: to be used for graduate courses on integral equations; to be a reference for researchers; and to describe methods of application of the theory. The author emphasizes the role of Volterra equations as a unifying tool in the study of functional equations, and investigates the relation between abstract Volterra equations and other types of functional-differential equations.
Author | : Hermann Brunner |
Publisher | : Cambridge University Press |
Total Pages | : 620 |
Release | : 2004-11-15 |
Genre | : Mathematics |
ISBN | : 9780521806152 |
Download Collocation Methods for Volterra Integral and Related Functional Differential Equations Book in PDF, ePub and Kindle
Publisher Description
Author | : Hermann Brunner |
Publisher | : Cambridge University Press |
Total Pages | : 405 |
Release | : 2017-01-20 |
Genre | : Mathematics |
ISBN | : 1316982653 |
Download Volterra Integral Equations Book in PDF, ePub and Kindle
This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators. It will act as a 'stepping stone' to the literature on the advanced theory of VIEs, bringing the reader to the current state of the art in the theory. Each chapter contains a large number of exercises, extending from routine problems illustrating or complementing the theory to challenging open research problems. The increasingly important role of VIEs in the mathematical modelling of phenomena where memory effects play a key role is illustrated with some 30 concrete examples, and the notes at the end of each chapter feature complementary references as a guide to further reading.
Author | : Abdul-Majid Wazwaz |
Publisher | : Springer Science & Business Media |
Total Pages | : 639 |
Release | : 2011-11-24 |
Genre | : Mathematics |
ISBN | : 3642214495 |
Download Linear and Nonlinear Integral Equations Book in PDF, ePub and Kindle
Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.
Author | : Andrei D. Polyanin |
Publisher | : CRC Press |
Total Pages | : 1143 |
Release | : 2008-02-12 |
Genre | : Mathematics |
ISBN | : 0203881052 |
Download Handbook of Integral Equations Book in PDF, ePub and Kindle
Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa