High-accuracy non-dissipative extended one-step methods for oscillatory problems

DOI10.1080/00207169908804849zbMath0937.65078OpenAlexW2106097273WikidataQ126244237 ScholiaQ126244237MaRDI QIDQ4702137

Ahmed Abdullatif Karaballi

Publication date: 23 November 1999

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169908804849

zbMATH Keywords

numerical exampleoscillating solutionsfirst-order initial value problemsnon-dissipative extended one-step methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (1)

Sixth order non-dissipativeC¹spline collocation method for oscillatory ordinary initial value problems

Cites Work

• A class of stabilized extended one-step methods for the numerical solution of ODEs
• Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
• A general theory of stabilized extended one-step methods for odes
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• A one-step method for direct integration of structural dynamic equations
• Non-dissipative extended one-step methods for oscillatory problems
• Explicit Runge-Kutta methods for initial value problems with oscillating solutions
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