Product integration rules for Volterra integral equations of the first kind

DOI10.1007/BF01934187zbMath0627.65137MaRDI QIDQ1092643

L. G. McAlevey

Publication date: 1987

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

product integrationasymptotic error expansionVolterra integral equations of the first kindExtrapolation to the limitmidpoint product method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Numerical integration (65D30)

Related Items (9)

Numerical method for solving Volterra integral equations with oscillatory kernels using a transform ⋮ Product integration rules for Volterra integral equations of the first kind ⋮ Laplace transforms for approximation of highly oscillatory Volterra integral equations of the first kind ⋮ On the approximation of highly oscillatory Volterra integral equations of the first kind via Laplace transform ⋮ Efficient methods for Volterra integral equations with highly oscillatory Bessel kernels ⋮ The numerical solution of the semi-explicit IDAEs by discontinuous piecewise polynomial approximation ⋮ Numerical approximations for highly oscillatory Bessel transforms and applications ⋮ Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications ⋮ Laplace transforms for evaluation of Volterra integral equation of the first kind with highly oscillatory kernel

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