A -Stable Linear Multistep Methods for Volterra Integro-Differential Equations.
Displaying 41 – 60 of 441
-stable methods of high order for Volterra integral equations
Ľubor Malina (1975)
Aplikace matematiky
Method for numerical solution of Volterra integral equations, based on the O.I.M. methods, is suggested. It is known that the class of O.I.M. methods includes -stable methods of arbitrary high order of asymptotic accuracy. In part 5, it is proved that these methods generate methods for numerical solution of Volterra equations which are also -stable and of an arbitrarily high order. There is one advantage of the methods. Namely, they need no matrix inversion in the course of their numerical realization....
A study of the fast solution of the occluded radiosity equation.
Atkinson, Kendall, Chien, David (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
A two-dimensional inverse heat conduction problem for estimating heat source.
Shidfar, A., Zakeri, A., Neisi, A. (2005)
International Journal of Mathematics and Mathematical Sciences
A Unified Approach for Constructing Fast Two-Step Newton-like Methods.
Ioannis K. Argyros (1995)
Monatshefte für Mathematik
A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators
I. K. Argyros, D. González (2015)
Applicationes Mathematicae
We provide a local as well as a semilocal convergence analysis for Newton's method using unifying hypotheses on twice Fréchet-differentiable operators in a Banach space setting. Our approach extends the applicability of Newton's method. Numerical examples are also provided.
A well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition
Sébastien Pernet (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
The construction of a well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition is proposed. A suitable parametrix is obtained by using a new unknown and an approximation of the transparency condition. We prove the well-posedness of the equation for any wavenumber. Finally, some numerical comparisons with well-tried method prove the efficiency of the new formulation.
About calculation of the Hankel transform using preliminary wavelet transform.
Postnikov, E.B. (2003)
Journal of Applied Mathematics
About the deficient spline collocation method for particular differential and integral equations with delay.
Calió, F., Marchetti, E., Pavani, R. (2003)
Rendiconti del Seminario Matematico
Adaptive Boundary Element Methods for Strongly Elliptic Integral Equations.
W.L. Wendland, De-hao Yu (1988)
Numerische Mathematik
Algebraic properties of refinable sets.
Wu, Bin (2004)
Lobachevskii Journal of Mathematics
Algebras of approximation sequences: Fredholm theory in fractal algebras
Steffen Roch (2002)
Studia Mathematica
The present paper is a continuation of [5, 7] where a Fredholm theory for approximation sequences is proposed and some of its properties and consequences are studied. Here this theory is specified to the class of fractal approximation methods. The main result is a formula for the so-called α-number of an approximation sequence (Aₙ) which is the analogue of the kernel dimension of a Fredholm operator.
Algorithm 65. Determination of the solution of an Abel integral equation
R. Smarzewski, H. Malinowski (1979)
Applicationes Mathematicae
Algorithm 67. Determination of the solution of Abel integral equations, II
H. Malinowski, R. Smarzewski (1980)
Applicationes Mathematicae
Algorithm 68. Determination of the solution of Abel integral equations, III
H. Malinowski, R. Smarzewski (1980)
Applicationes Mathematicae
Algorithm for reconstruction of the elastic constants of an anisotropic layer lying in an isotropic horizontally stratified medium.
Karchevsky, A.L. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
An adaptive finite element method for Fredholm integral equations of the first kind and its verification on experimental data
Nikolay Koshev, Larisa Beilina (2013)
Open Mathematics
We propose an adaptive finite element method for the solution of a linear Fredholm integral equation of the first kind. We derive a posteriori error estimates in the functional to be minimized and in the regularized solution to this functional, and formulate corresponding adaptive algorithms. To do this we specify nonlinear results obtained earlier for the case of a linear bounded operator. Numerical experiments justify the efficiency of our a posteriori estimates applied both to the computationally...
An Adaptive Numerical Method for Solving Linear Fredholm Integral Equations of the First Kind.
R.J. Hanson, J.L. Phillips (1975)
Numerische Mathematik
An Algorithm for the Hausdorff Moment Problem.
G. Greaves (1982)
Numerische Mathematik
An Algorithm for the Numerical Evaluation of Certain Cauchy Principal Value Integrals.
D.F. Paget, D. Elliott (1972)
Numerische Mathematik