A family of Multistep Collocation Methods for Volterra Integro-Differential Equations

DOI10.1063/1.3241469zbMath1182.65200OpenAlexW1506268130MaRDI QIDQ5851505

Angelamaria Cardone, Dajana Conte, Beatrice Paternoster

Publication date: 22 January 2010

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3241469

zbMATH Keywords

stabilityVolterra integro-differential equationsmultistep collocation methods

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (10)

A class of two-step collocation methods for Volterra integro-differential equations ⋮ Numerical methods for solving nonlinear Volterra integro-differential equations based on Hermite–Birkhoff interpolation ⋮ Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems ⋮ Multistep collocation methods for Volterra integro-differential equations ⋮ Ef-Gaussian direct quadrature methods for Volterra integral equations with periodic solution ⋮ Optimal control of system governed by nonlinear Volterra integral and fractional derivative equations ⋮ Stability analysis of spline collocation methods for fractional differential equations ⋮ Collocation methods for Volterra integral and integro-differential equations: a review ⋮ Multistep Collocation Methods for Volterra Integral Equations with Weakly Singular Kernels ⋮ STRONG STABILITY PRESERVING MULTISTAGE INTEGRATION METHODS

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