Analytical and Numerical Methods for Volterra Equations

Erscheinungsjahr 1985
ISBN: 978-0-89871-198-1
Verlag: Society for Industrial & Applied Mathematics,U.S.

Buch, Englisch, 240 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 563 g

Reihe: Studies in Applied and Numerical Mathematics

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.

Autoren/Hrsg.

Linz, Peter

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen

Inhaltsverzeichnis

Some applications of Volterraequations; Linear Volterra equations of the second kind; Nonlinear equations of the second kind; Equations of the first kind; Convolution equations; The numerical solution of equations of the second kind; Product Integration methods for equations of the second kind; Equations of the first kind with differentiable kernels; Equations of the Abel type; Integrodifferential equations; Some computer programs; Case studies.