Book Review: Collocation methods for Volterra integral and related functional equations
نویسندگان
چکیده
منابع مشابه
Iterated Collocation Methods for Volterra Integral Equations with Delay Arguments
In this paper we give a complete analysis of the global convergence and local superconvergence properties of piecewise polynomial collocation for Volterra integral equations with constant delay. This analysis includes continuous collocation-based Volterra-Runge-Kutta methods as well as iterated collocation methods and their discretizations.
متن کاملCOLLOCATION METHOD FOR FREDHOLM-VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY KERNELS
In this paper it is shown that the use of uniform meshes leads to optimal convergence rates provided that the analytical solutions of a particular class of Fredholm-Volterra integral equations (FVIEs) are smooth.
متن کاملCollocation Methods for A Class of Volterra Integral Functional Equations with Multiple Proportional Delays
In this paper, we apply the collocation methods to a class of Volterra integral functional equations with multiple proportional delays (VIFEMPDs). We shall present the existence, uniqueness and regularity properties of analytic solutions for this type of equations, and then analyze the convergence orders of the collocation solutions and give corresponding error estimates. The numerical results ...
متن کاملcollocation method for fredholm-volterra integral equations with weakly kernels
in this paper it is shown that the use of uniform meshes leads to optimal convergence rates provided that the analytical solutions of a particular class of fredholm-volterra integral equations (fvies) are smooth.
متن کاملGeneral linear methods for Volterra integral equations
s of IWANASP, September 10 – 12, 2008, Ericeira, Portugal GENERAL LINEAR METHODS FOR VOLTERRA INTEGRAL EQUATIONS ZDZISÃlAW JACKIEWICZ Departament of Mathematics, Arizona State University Tempe, Arizona 85287, USA E-mail: [email protected] We investigate the class of general linear methods of order p and stage order q = p for the numerical solution of Volterra integral equations of the se...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2006
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-06-01891-6