Importance of the first-order derivative formula in the Obrechkoff method
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Publication:709707
DOI10.1016/J.CPC.2005.01.009zbMath1196.65129OpenAlexW2002295186MaRDI QIDQ709707
Deyin Zhao, Zhongcheng Wang, Yongming Dai
Publication date: 18 October 2010
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2005.01.009
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Cites Work
- Unnamed Item
- Unnamed Item
- A Mathematica program for the two-step twelfth-order method with multi-derivative for the numerical solution of a one-dimensional Schrödinger equation
- A new high efficient and high accurate Obrechkoff four-step method for the periodic nonlinear undamped Duffing's equation
- Families of two-step fourth order \(P\)-stable methods for second order differential equations
- A modification of the Stiefel-Bettis method for nonlinearly damped oscillators
- On the solution of \(y' = f(x,y)\) by a class of high accuracy difference formulae of low order
- Adaptive methods for periodic initial value problems of second order differential equations
- Stabilization of Cowell's classical finite difference method for numerical integration
- Unconditionally stable methods for second order differential equations
- Obrechkoff methods having additional parameters for general second-order differential equations
- Obrechkoff versus super-implicit methods for the solution of first- and second-order initial value problems.
- P-Stable Obrechkoff Methods with Minimal Phase-Lag for Periodic Initial Value Problems
- A P-stable complete in phase Obrechkoff trigonometric fitted method for periodic initial-value problems
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