Volterra integral equations with highly oscillatory kernels: a new numerical method with applications. ETNA - Electronic Transactions on Numerical Analysis

Autor: van der Mee, Cornelis, Fermo, Luisa
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Popis: The aim of this paper is to present a Nyström-type method for the numerical approximation of the solution of Volterra integral equations of the second kind having highly oscillatory kernels. The method is based on a mixed quadrature scheme which combines the classical product rule with a dilation quadrature formula. The convergence and the stability of the method are investigated and the accuracy of the presented approach is assessed by some numerical tests. The proposed procedure is also applied to the computation of initial scattering data related to the initial value problem associated to the Korteweg-de Vries equation.
Databáze: OpenAIRE
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