On the numerical stability of the linear barycentric rational quadrature method for Volterra integral equations
SA Hosseini, A Abdi - Applied Numerical Mathematics, 2016 - Elsevier
Applied Numerical Mathematics, 2016•Elsevier
This paper deals with the stability analysis of the composite barycentric rational quadrature
method (CBRQM) for the second kind Volterra integral equations through application to the
standard and the convolution test equations. In each case, some theoretical results are
achieved by providing corresponding recurrence relation and stability matrix. Verification of
these theoretical results is obtained by some numerical experiments.
method (CBRQM) for the second kind Volterra integral equations through application to the
standard and the convolution test equations. In each case, some theoretical results are
achieved by providing corresponding recurrence relation and stability matrix. Verification of
these theoretical results is obtained by some numerical experiments.
Abstract
This paper deals with the stability analysis of the composite barycentric rational quadrature method (CBRQM) for the second kind Volterra integral equations through application to the standard and the convolution test equations. In each case, some theoretical results are achieved by providing corresponding recurrence relation and stability matrix. Verification of these theoretical results is obtained by some numerical experiments.
Elsevier
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