Optimal discrete and continuous mono-implicit Runge-Kutta schemes for BVODEs

DOI10.1023/A:1018926631734zbMath0918.65060OpenAlexW101840440MaRDI QIDQ1282328

P. H. Muir

Publication date: 1 August 1999

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

Full work available at URL: https://doi.org/10.1023/a:1018926631734

zbMATH Keywords

numerical examplesefficiencyRunge-Kutta methods\(A\)-stabilitytwo-point boundary value problemsoptimal methods\(L\)-stabilitycontinuous mono-implicit Runge-Kutta schemes

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (3)

New interpolants for asymptotically correct defect control of BVODEs ⋮ Learning Hamiltonian systems with mono-implicit Runge-Kutta methods ⋮ Numerical simulations of a rolling ball robot actuated by internal point masses

Uses Software

• PMIRKDC
• MIRKDC

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