A new eighth order exponentially fitted explicit Numerov-type method for solving oscillatory problems (Q2636449)

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English	A new eighth order exponentially fitted explicit Numerov-type method for solving oscillatory problems	scientific article

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title

A new eighth order exponentially fitted explicit Numerov-type method for solving oscillatory problems (English)

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5 June 2018

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zbMATH Keywords

initial value problems

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hybrid method

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variable coefficients

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describes a project that uses

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full work available at URL

https://doi.org/10.1007/s10910-018-0873-x

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cites work

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A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems

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A new approach on the construction of trigonometrically fitted two step hybrid methods

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Construction of an optimized explicit Runge-Kutta-Nyström method for the numerical solution of oscillatory initial value problems

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A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods

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Construction of exponentially fitted symplectic Runge-Kutta-Nyström methods from partitioned Runge-Kutta methods

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Modified two‐step hybrid methods for the numerical integration of oscillatory problems

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An eight-step semi-embedded predictor-corrector method for orbital problems and related IVPs with oscillatory solutions for which the frequency is unknown

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The use of phase lag and amplification error derivatives for the construction of a modified Runge-Kutta-Nyström method

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An optimized two-step hybrid block method for solving general second order initial-value problems

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Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems

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Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation

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New stable closed Newton-Cotes trigonometrically fitted formulae for long-time integration

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Optimizing a hybrid two-step method for the numerical solution of the Schrödinger equation and related problems with respect to phase-lag

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Evolutionary generation of high-order, explicit, two-step methods for second-order linear IVPs

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Optimization as a function of the phase-lag order of nonlinear explicit two-step \(P\)-stable method for linear periodic IVPs

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A parameter study of explicit Runge-Kutta pairs of orders 6(5)

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On modified Runge-Kutta trees and methods

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Phase-fitted Runge-Kutta pairs of orders 8(7)

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Runge-Kutta interpolants based on values from two successive integration steps

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A family of hybrid exponentially fitted predictor-corrector methods for the numerical integration of the radial Schrödinger equation

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Optimized Runge-Kutta pairs for problems with oscillating solutions

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Explicit Numerov type methods with reduced number of stages.

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Order conditions for a class of two-step methods for y'' = f (x, y)

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Symbolic derivation of order conditions for hybrid Numerov-type methods solving \(y^{\prime\prime} =f(x,y)\)

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A new family of 7 stages, eighth-order explicit Numerov-type methods

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Implicit Runge-Kutta Processes

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On Runge-Kutta processes of high order

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High-Order Symplectic Runge–Kutta–Nyström Methods

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Numerical Methods for Ordinary Differential Equations

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The performance of phase-lag enhanced explicit Runge-Kutta Nyström pairs on \(N\)-body problems

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Q4531870

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EXPLICIT EIGHTH ORDER TWO-STEP METHODS WITH NINE STAGES FOR INTEGRATING OSCILLATORY PROBLEMS

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High-order zero-dissipative Runge-Kutta-Nyström methods

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Trigonometrically fitted nonlinear two-step methods for solving second order oscillatory IVPs

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published in

Journal of Mathematical Chemistry

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Identifiers

zbMATH Open document ID

1446.65045

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Mathematics Subject Classification ID

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10.1007/S10910-018-0873-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2636449