The Numerical Solution of Volterra Equations PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Numerical Solution of Volterra Equations PDF full book. Access full book title The Numerical Solution of Volterra Equations by Hermann Brunner. Download full books in PDF and EPUB format.
Author: Hermann Brunner
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 608
Get Book Here
Book Description
This monograph presents the theory and modern numerical analysis of Volterra integral and integro-differential equations, including equations with weakly singular kernels. While the research worker will find an up-to-date account of recent developments of numerical methods for such equations, including an extensive bibliography, the authors have tried to make the book accessible to the non-specialist possessing only a limited knowledge of numerical analysis. After an introduction to the theory of Volterra equations and to numerical integration, the book covers linear methods and Runge-Kutta methods, collocation methods based on polynomial spline functions, stability of numerical methods, and it surveys computer programs for Volterra integral and integro-differential equations.
Author: Hermann Brunner
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 608
Get Book Here
Book Description
This monograph presents the theory and modern numerical analysis of Volterra integral and integro-differential equations, including equations with weakly singular kernels. While the research worker will find an up-to-date account of recent developments of numerical methods for such equations, including an extensive bibliography, the authors have tried to make the book accessible to the non-specialist possessing only a limited knowledge of numerical analysis. After an introduction to the theory of Volterra equations and to numerical integration, the book covers linear methods and Runge-Kutta methods, collocation methods based on polynomial spline functions, stability of numerical methods, and it surveys computer programs for Volterra integral and integro-differential equations.
Author: Peter Linz
Publisher: SIAM
ISBN: 9781611970852
Category : Mathematics
Languages : en
Pages : 240
Get Book Here
Book Description
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: Peter Linz
Publisher: SIAM
ISBN: 0898711983
Category : Mathematics
Languages : en
Pages : 228
Get Book Here
Book Description
Presents integral equations methods for the solution of Volterra equations for those who need to solve real-world problems.
Author: Janet P. Rae
Publisher:
ISBN:
Category :
Languages : en
Pages : 236
Get Book Here
Book Description
Author: Peter Linz
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 354
Get Book Here
Book Description
Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 1316982653
Category : Mathematics
Languages : en
Pages : 405
Get Book Here
Book Description
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: L. M. Delves
Publisher: CUP Archive
ISBN: 9780521357968
Category : Mathematics
Languages : en
Pages : 392
Get Book Here
Book Description
This textbook provides a readable account of techniques for numerical solutions.
Author: Hermann Brunner
Publisher: Cambridge University Press
ISBN: 9780521806152
Category : Mathematics
Languages : en
Pages : 620
Get Book Here
Book Description
Publisher Description
Author: Pieter Jacobus van der Houwen (Mathematician, Netherlands)
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Michael J. Honeychurch
Publisher: Lulu.com
ISBN: 0975180401
Category : Science
Languages : en
Pages : 372
Get Book Here
Book Description
