Further Stability Analysis of Numerical Methods for Volterra Integral Equations of the Second Kind
Author: Siamak Amini
Publisher:
Published: 1980
Total Pages: 30
ISBN-13:
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Author: Siamak Amini
Publisher:
Published: 1980
Total Pages: 30
ISBN-13:
DOWNLOAD EBOOKAuthor: Peter Linz
Publisher: SIAM
Published: 1985-07-01
Total Pages: 228
ISBN-13: 0898711983
DOWNLOAD EBOOKPresents integral equations methods for the solution of Volterra equations for those who need to solve real-world problems.
Author: Siamak Amini
Publisher:
Published: 1980
Total Pages: 44
ISBN-13:
DOWNLOAD EBOOKAuthor: S. Amini
Publisher:
Published: 1981
Total Pages: 25
ISBN-13:
DOWNLOAD EBOOKAuthor: Hermann Brunner
Publisher: North Holland
Published: 1986
Total Pages: 608
ISBN-13:
DOWNLOAD EBOOKThis 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: Wolfgang Hackbusch
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 377
ISBN-13: 3034892152
DOWNLOAD EBOOKThe theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the «boundary integral equation method», which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations.
Author: P. H. M. Wolkenfelt
Publisher:
Published: 1980
Total Pages: 15
ISBN-13:
DOWNLOAD EBOOKAuthor: Peter Linz
Publisher:
Published: 1968
Total Pages: 354
ISBN-13:
DOWNLOAD EBOOKAuthor: Kendall E. Atkinson
Publisher: Cambridge University Press
Published: 1997-06-28
Total Pages: 572
ISBN-13: 0521583918
DOWNLOAD EBOOKThis book provides an extensive introduction to the numerical solution of a large class of integral equations.
Author: Pieter J. van der Houwen
Publisher:
Published: 1980
Total Pages: 15
ISBN-13:
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