Special methods for problems whose oscillatory solution is damped

DOI10.1016/0096-3003(89)90116-1zbMath0671.65049OpenAlexW4252601955MaRDI QIDQ1119344

Beny Neta

Publication date: 1989

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90116-1

zbMATH Keywords

numerical examplelinear multistep methodsoscillatory solutionexponential fittingtrigonometric fitting

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions

Uses Software

• REDUCE
• MACSYMA

Cites Work

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• Families of methods for ordinary differential equations based on trigonometric polynomials
• Numerical integration of ordinary differential equations based on trigonometric polynomials
• Stabilization of Cowell's method
• Chebyshevian multistep methods for ordinary differential equations
• Linear Multistep Methods with Reduced Truncation Error for Periodic Initial-value Problems
• Families of backward differentiation methods based on trigonometric polynomials
• Trigonometric Interpolation and Predictor‐Corrector Formulas for Numerical Integration

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