Chebyshev acceleration of picard-lindelöf iteration
Copyright policy )Chebyshev acceleration of picard-lindelöf iteration
This paper complements recent work by \textit{R.D. Skeel} [SIAM J. Sci. Stat. Comput. 10, No. 4, 756-776 (1989; Zbl 0687.65076) and \textit{O. Nevanlinna} [Numer. Math. 57, No. 2, 147-156 (1990; Zbl 0697.65058)] regarding the question as to whether a significant acceleration of waveform iteration (Picard-Lindelöf iteration) is possible. The author shows that suitably defined Chebyshev acceleration of Picard iteration for \(\dot y+Ay=f(t)\), \(0
- University of Innsbruck Austria
Chebyshev acceleration, Picard iteration, acceleration of waveform iteration, Nonlinear ordinary differential equations and systems, error reduction, Numerical methods for initial value problems involving ordinary differential equations, Picard-Lindelöf iteration, Richardson's iteration, waveform Newton method, Error bounds for numerical methods for ordinary differential equations
Chebyshev acceleration, Picard iteration, acceleration of waveform iteration, Nonlinear ordinary differential equations and systems, error reduction, Numerical methods for initial value problems involving ordinary differential equations, Picard-Lindelöf iteration, Richardson's iteration, waveform Newton method, Error bounds for numerical methods for ordinary differential equations
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