Cubic spline collocation for Volterra integral equations

DOI10.1007/s00607-002-1463-zzbMath1239.45004OpenAlexW2001749753MaRDI QIDQ424718

Darja Saveljeva, Peeter Oja

Publication date: 4 June 2012

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-002-1463-z

zbMATH Keywords

Volterra integral equationscubic spline collocationspline projectionsstability and convergence of spline collocation method

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical methods for integral equations (65R20) Spline approximation (41A15) Volterra integral equations (45D05)

Related Items (12)

On some Volterra and Fredholm problems via the unified integrodifferential quadrature method ⋮ An algorithm for solving linear Volterra integro-differential equations ⋮ Sparse representation of system of Fredholm integro-differential equations by using alpert multiwavelets ⋮ A multistep Legendre pseudo-spectral method for Volterra integral equations ⋮ Numerical approach for a system of second kind Volterra integral equations in magneto-electro-elastic dynamic problems ⋮ Convergence of spline collocation for Volterra integral equations ⋮ Linear/linear rational spline collocation for linear boundary value problems ⋮ A generalized integral quadratic method. I: An efficient solution for one-dimensional Volterra integral equation ⋮ A new strategy for the numerical solution of nonlinear Volterra integral equations with vanishing delays ⋮ Legendre spectral Galerkin method for second-kind Volterra integral equations ⋮ On the divergence of collocation solutions in smooth piecewise polynomial spaces for Volterra integral equations ⋮ Convergence analysis of the multistep Legendre pseudo-spectral method for Volterra integral equations with vanishing delays

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