Natural Volterra Runge-Kutta methods

DOI10.1007/s11075-013-9790-zzbMath1291.65377OpenAlexW1993747705MaRDI QIDQ2454384

Raffaele D'Ambrosio, Giuseppe Izzo, Dajana Conte, Zdzisław Jackiewicz

Publication date: 13 June 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9790-z

zbMATH Keywords

stability analysisnumerical examplesVolterra integral equationVolterra Runge-Kutta methods\(A\)-stability: \(V_0\)-stabilityorder and stage order conditions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (14)

Explicit methods based on barycentric rational interpolants for solving non-stiff Volterra integral equations ⋮ Recent advances in the numerical solution of Volterra integral equations ⋮ Multistep Runge-Kutta methods for Volterra integro-differential equations ⋮ The barycentric rational predictor-corrector schemes for Volterra integral equations ⋮ Implementation of general linear methods for Volterra integral equations ⋮ An efficient numerical algorithm to solve Volterra integral equation of second kind ⋮ Construction of efficient general linear methods for stiff Volterra integral equations ⋮ Highly stable multistep Runge-Kutta methods for Volterra integral equations ⋮ A GLMs-based difference-quadrature scheme for Volterra integro-differential equations ⋮ A two-parameter Milstein method for stochastic Volterra integral equations ⋮ A new code for Volterra integral equations based on natural Runge-Kutta methods ⋮ Multivalue second derivative collocation methods ⋮ Time-Splitting Schemes for Fractional Differential Equations I: Smooth Solutions ⋮ Pouzet-Runge-Kutta-Chebyshev method for Volterra integral equations of the second kind

Uses Software

• RODAS

Cites Work

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