Advances on Collocation Based Numerical Methods for Ordinary Differential Equations and Volterra Integral Equations

DOI10.1007/978-90-481-9981-5_3zbMath1216.65097OpenAlexW144985429MaRDI QIDQ3002461

Raffaele D'Ambrosio, Dajana Conte, Beatrice Paternoster

Publication date: 20 May 2011

Published in: Recent Advances in Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-90-481-9981-5_3

zbMATH Keywords

Runge-Kutta methodscollocationtwo-step Runge-Kutta methodstwo-step collocationmixed collocation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Volterra integral equations (45D05)

Related Items (3)

Highly stable Runge-Kutta methods for Volterra integral equations ⋮ Existence, uniqueness, and approximation solutions to linearized Chandrasekhar equation with sharp bounds ⋮ STRONG STABILITY PRESERVING MULTISTAGE INTEGRATION METHODS

Uses Software

• rknstabint

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