Adaptive collocation methods for Volterra integral and integro-differential equations

DOI10.1016/j.amc.2006.12.087zbMath1193.65219OpenAlexW2093908568MaRDI QIDQ990402

YingJun Jiang

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.12.087

zbMATH Keywords

collocation methodsVolterra integro-differential equationsVolterra integral equationsA posteriori error estimate

Mathematics Subject Classification ID

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

Related Items (3)

Efficient Chebyshev collocation methods for solving optimal control problems governed by Volterra integral equations ⋮ An adaptive Huber method with local error control, for the numerical solution of the first kind Abel integral equations ⋮ Adaptive Huber scheme for weakly singular fractional integro-differential equations

Cites Work

• Numerical methods for a Volterra integral equation with nonsmooth solutions
• Adaptive space-time finite element solution for Volterra equations arising in viscoelasticity problems
• Discontinuous Galerkin method with a posteriori \(L_ p(0,t_ i)\) error estimate for second-kind Volterra problems
• A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations
• Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations

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