Dissipative high phase-lag order methods

DOI10.1016/S0096-3003(99)00152-6zbMath1023.65070OpenAlexW2079324742MaRDI QIDQ5931674

Ch. Tsitouras

Publication date: 25 April 2001

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00152-6

zbMATH Keywords

stabilitynumerical examplesdissipationperiodic solutioninitial value problemeighth algebraic orderexplicit hybrid Numerov type methodsphase-lag

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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)

Related Items (5)

Explicit two-step methods for second-order linear IVPs ⋮ On ninth order, explicit Numerov-type methods with constant coefficients ⋮ A dissipative exponentially-fitted method for the numerical solution of the Schrödinger equation and related problems ⋮ Trigonometric-fitted explicit Numerov-type method with vanishing phase-lag and its first and second derivatives ⋮ Families of explicit two-step methods for integration of problems with oscillating solutions

Cites Work

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• Explicit two-step methods with minimal phase-lag for the numerical integration of special second-order initial-value problems and their application to the one-dimensional Schrödinger equation
• Explicit high order methods for the numerical integration of periodic initial-value problems
• An explicit sixth-order method with phase-lag of order eight for \(y=f(t,y)\)
• A parameter study of explicit Runge-Kutta pairs of orders 6(5)
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• Symmetric Multistip Methods for Periodic Initial Value Problems
• Cheap Error Estimation for Runge--Kutta Methods

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