An adapted explicit hybrid method of Numerov-type for the numerical integration of perturbed oscillators
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Publication:884599
DOI10.1016/j.amc.2006.07.129zbMath1118.65083OpenAlexW1969709838MaRDI QIDQ884599
Publication date: 6 June 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.129
algorithmstabilitynumerical examplesNumerov methodexplicit hybrid methodslong-term prediction of earth satellite orbitsmethod of power seriesScheifele \(G\)-functions
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) Orbital mechanics (70M20)
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A family of two-stage two-step methods for the numerical integration of the Schrödinger equation and related IVPs with oscillating solution, An adapted explicit hybrid four-step method for the numerical solution of perturbed oscillators, A family of improved Falkner-type methods for oscillatory systems, A class of linear multi-step method adapted to general oscillatory second-order initial value problems, Scheifele two-step methods for perturbed oscillators
Cites Work
- A four-step phase-fitted method for the numerical integration of second order initial-value problems
- High-order P-stable multistep methods
- Numerov made explicit has better stability
- A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method
- Increased accuracy of computations in the main satellite problem through linearization methods
- An algorithm for the systematic construction of solutions to perturbed problems
- Frequency evaluation in exponential fitting multistep algorithms for ODEs
- A variable-stepsize variable-order multistep method for the integration of perturbed linear problems
- Stability of explicit ARKN methods for perturbed oscillators
- A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators
- Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators
- An explicit hybrid method of Numerov type for second-order periodic initial-value problems
- Generalization of the Störmer method for perturbed oscillators without explicit first derivatives
- On numerical integration of perturbed linear oscillating systems
- Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
- Multistep Numerical Methods Based on the Scheifele G-Functions with Application to Satellite Dynamics
- A general canonical transformation increasing the number of variables with application to the two-body problem
- Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine
- Symmetric Multistip Methods for Periodic Initial Value Problems
- P-stability and exponential-fitting methods for y = f(x,y)
