Implicit two-derivative Runge–Kutta collocation methods for systems of initial value problems

DOI10.1016/j.jnnms.2015.01.001zbMath1353.65079OpenAlexW2002599540MaRDI QIDQ2833213

A. M. Kwami, D. G. Yakubu

Publication date: 17 November 2016

Published in: Journal of the Nigerian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnnms.2015.01.001

zbMATH Keywords

stabilitynumerical resultsinitial value problemcollocation methodsparallel computingcomputational efficiencycontinuous schemesystem of equationstwo-derivative Runge-Kutta methodsblock hybrid discrete scheme

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) 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) Complexity and performance of numerical algorithms (65Y20)

Related Items (2)

Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations ⋮ Improving the accuracy of the charge simulation method for numerical conformal mapping

Uses Software

• RODAS

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