Extended RKN-type methods with minimal dispersion error for perturbed oscillators (Q615106)

scientific article; zbMATH DE number 5832389

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English	Extended RKN-type methods with minimal dispersion error for perturbed oscillators	scientific article; zbMATH DE number 5832389

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instance of

scholarly article

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title

Extended RKN-type methods with minimal dispersion error for perturbed oscillators (English)

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Computer Physics Communications

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publication date

5 January 2011

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zbMATH Keywords

ERKN methods

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extended tree theory

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order conditions

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minimal dispersion error

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perturbed oscillators

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.cpc.2009.11.013

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cites work

An optimized Runge-Kutta method for the solution of orbital problems

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A 5(3) pair of explicit ARKN methods for the numerical integration of perturbed oscillators.

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Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators

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Stability of explicit ARKN methods for perturbed oscillators

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Runge-Kutta methods adapted to the numerical integration of oscillatory problems

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Exponentially fitted explicit Runge-Kutta-Nyström methods

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A class of explicit two-step hybrid methods for second-order IVPs

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New methods for oscillatory systems based on ARKN methods

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A new pair of explicit ARKN methods for the numerical integration of general perturbed oscillators

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A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions

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Frequency evaluation in exponential fitting multistep algorithms for ODEs

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Numerical integration of ordinary differential equations based on trigonometric polynomials

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A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators

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An exponentially-fitted and trigonometrically-fitted method for the numerical solution of periodic initial-value problems.

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Chebyshevian multistep methods for ordinary differential equations

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Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation

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A Runge-Kutta Fehlberg method with phase-lag of order infinity for initial-value problems with oscillating solution

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Runge-Kutta interpolants with minimal phase-lag

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Runge-Kutta-Nyström interpolants for the numerical integration of special second-order peridic initial-value problems

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Two-step almost p-stable complete in phase methods for the numerical integration of second order periodic initial-value problems

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New insights in the development of Numerov-type methods with minimal phase-lag for the numerical solution of the Schrödinger equation

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Q5633692

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Explicit Numerov type methods with reduced number of stages.

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Optimized Runge-Kutta pairs for problems with oscillating solutions

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Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics

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Exponentially-fitted explicit Runge-Kutta methods

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Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions

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Diagonally Implicit Runge–Kutta–Nyström Methods for Oscillatory Problems

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Order conditions for ARKN methods solving oscillatory systems

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Trigonometrically-fitted ARKN methods for perturbed oscillators

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Extended RKN-type methods for numerical integration of perturbed oscillators

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Identifiers

zbMATH Open document ID

1208.65096

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Mathematics Subject Classification ID

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10.1016/J.CPC.2009.11.013

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Sitelinks

Mathematics(1 entry)

mardi Publication:615106