Collocation Methods for Volterra Integral and Related Functional Differential Equations PDF Download
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Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 9780521806152
Category : Mathematics
Languages : en
Pages : 620
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Publisher Description
Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 9780521806152
Category : Mathematics
Languages : en
Pages : 620
Get Book Here
Book Description
Publisher Description
Author:
Publisher:
ISBN:
Category : Integral equations
Languages : en
Pages : 456
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Author: C. Corduneanu
Publisher: CRC Press
ISBN: 1482287420
Category : Mathematics
Languages : en
Pages : 512
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Book Description
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: Richard K. Miller
Publisher: American Mathematical Soc.
ISBN:
Category : Compact spaces
Languages : en
Pages : 76
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Book Description
The purpose of this paper is to show how Volterra integral equations may be studied within the framework of the theory of topological dynamics. Part I contains the basic theory, as local dynamical systems are discussed together with some of their elementary properties. The notation of compatible pairs of function spaces is introduced. Part II contains examples of compatible pairs, as these spaces are studied in some detail. Part III contains some applications of the first two parts.
Author: Henry Ekah-Kunde
Publisher: GRIN Verlag
ISBN: 3668484260
Category : Mathematics
Languages : en
Pages : 26
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Book Description
Seminar paper from the year 2015 in the subject Mathematics - Applied Mathematics, grade: A, , language: English, abstract: In scientific and engineering problems Volterra integral equations are always encountered. Applications of Volterra integral equations arise in areas such as population dynamics, spread of epidemics in the society, etc. The problem statement is to obtain a good numerical solution to such an integral equation. A brief theory of Volterra Integral equation, particularly, of weakly singular types, and a numerical method, the collocation method, for solving such equations, in particular Volterra integral equation of second kind, is handled in this paper. The principle of this method is to approximate the exact solution of the equation in a suitable finite dimensional space. The approximating space considered here is the polynomial spline space. In the treatment of the collocation method emphasis is laid, during discretization, on the mesh type. The approximating space applied here is the polynomial spline space. The discrete convergence properties of spline collocation solutions for certain Volterra integral equations with weakly singular kernels shall is analyzed. The order of convergence of spline collocation on equidistant mesh points is also compared with approximation on graded meshes. In particular, the attainable convergence orders at the collocation points are examined for certain choices of the collocation parameters.
Author: Peter Linz
Publisher: Siam
ISBN:
Category : Mathematics
Languages : en
Pages : 248
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Book Description
Presents integral equations methods for the solution of Volterra equations for those who need to solve real-world problems.
Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 1107098726
Category : Mathematics
Languages : en
Pages : 405
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Author: C. Corduneanu
Publisher: CRC Press
ISBN: 020316637X
Category : Mathematics
Languages : en
Pages : 185
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Book Description
Functional equations encompass most of the equations used in applied science and engineering: ordinary differential equations, integral equations of the Volterra type, equations with delayed argument, and integro-differential equations of the Volterra type. The basic theory of functional equations includes functional differential equations with cau
Author: Luise Blank
Publisher:
ISBN:
Category : Applied mathematics
Languages : en
Pages :
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Author: M. A. Goldberg
Publisher: Springer Science & Business Media
ISBN: 1475714661
Category : Science
Languages : en
Pages : 351
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