High Order Methods for Volterra Integral Equations of the First Kind

DOI10.1137/0710057zbMath0261.65086OpenAlexW1971727543MaRDI QIDQ5677038

R. Weiss, Frank R. de Hoog

Publication date: 1973

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0710057

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

Related Items (17)

Discretization of Volterra Integral Equations of the First Kind ⋮ $A$-stable methods of high order for Volterra integral equations ⋮ Bounds of high quality for first kind Volterra integral equations ⋮ Volterra integral equations ⋮ A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations ⋮ On the local superconvergence of the fully discretized multiprojection method for weakly singular Volterra integral equations of the second kind ⋮ Continuous collocation approximations to solutions of first kind Volterra equations ⋮ Improving the accuracy of collocation solutions of Volterra integral equations of the first kind by local interpolation ⋮ The solution of Volterra integral equations of the first kind using inverted differentiation formulae ⋮ A third order, semi-explicit method in the numerical solution of first kind Volterra integral equations ⋮ On an initial-value method for quickly solving Volterra integral equations: A review ⋮ Discretization of Volterra integral equations of the first kind. II ⋮ Collocating Convolutions ⋮ Numerical differentiation procedures for non-exact data ⋮ NUMERICAL SOLUTION OF HIGHER INDEX NONLINEAR INTEGRAL ALGEBRAIC EQUATIONS OF HESSENBERG TYPE USING DISCONTINUOUS COLLOCATION METHODS ⋮ On Solving Weakly Singular Volterra Equations of the First Kind with Galerkin Approximations ⋮ Roots of the discrete solution of first kind volterra equations

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