On the iterative solution of the algebraic equations in fully implicit Runge--Kutta methods

DOI10.1023/A:1019195816194zbMath0947.65084OpenAlexW1655797795MaRDI QIDQ1978040

S. González-Pinto, Manuel Calvo, Juan I. Montijano

Publication date: 7 June 2000

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

Full work available at URL: https://doi.org/10.1023/a:1019195816194

zbMATH Keywords

convergencenumerical experimentsinitial value problemsstiff systemsimplicit Runge-Kutta methodssingle-Newton iterative schemessolvability of stage equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (2)

A note on approximate Jacobians of implicit Runge-Kutta methods and convergence of modified Newton iterations ⋮ Analysis of a Chebyshev-based backward differentiation formulae and relation with Runge–Kutta collocation methods

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