Trigonometric-fitted explicit Numerov-type method with vanishing phase-lag and its first and second derivatives (Q1790550)

scientific article; zbMATH DE number 6946416

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English	Trigonometric-fitted explicit Numerov-type method with vanishing phase-lag and its first and second derivatives	scientific article; zbMATH DE number 6946416

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instance of

scholarly article

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title

Trigonometric-fitted explicit Numerov-type method with vanishing phase-lag and its first and second derivatives (English)

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Mediterranean Journal of Mathematics

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publication date

2 October 2018

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zbMATH Keywords

initial value problem

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second order

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phase-lag

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describes a project that uses

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full work available at URL

https://doi.org/10.1007/s00009-018-1216-7

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cites work

Numerov made explicit has better stability

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A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems

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A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method

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An explicit sixth-order method with phase-lag of order eight for \(y''=f(t,y)\)

0 references

High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems

0 references

Dissipative high phase-lag order methods

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Explicit Numerov type methods with reduced number of stages.

0 references

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

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

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EXPLICIT EIGHTH ORDER NUMEROV-TYPE METHODS WITH REDUCED NUMBER OF STAGES FOR OSCILLATORY IVPs

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Explicit two-step methods for second-order linear IVPs

0 references

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

0 references

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

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Symbolic derivation of Runge-Kutta order conditions

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Symbolic derivation of Runge-Kutta-Nyström order conditions

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Q4604885

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

0 references

On ninth order, explicit Numerov-type methods with constant coefficients

0 references

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

0 references

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

0 references

New modified Runge-Kutta-Nyström methods for the numerical integration of the Schrödinger equation

0 references

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

0 references

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

0 references

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

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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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A high-order two-step phase-fitted method for the numerical solution of the Schrödinger equation

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Implicit Runge-Kutta Processes

0 references

On Runge-Kutta processes of high order

0 references

Symmetric Multistip Methods for Periodic Initial Value Problems

0 references

A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation

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Q5739308

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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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Q3466063

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

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A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods

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High order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation

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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

0 references

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

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Conditions for Trigonometrically Fitted Runge-Kutta Methods

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Trigonometric fitted, eighth‐order explicit Numerov‐type methods

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

0 references

A new high algebraic order efficient finite difference method for the solution of the Schrödinger equation

0 references

A new high order two-step method with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation

0 references

Runge-Kutta pairs for periodic initial value problems

0 references

On modified Runge-Kutta trees and methods

0 references

A new family of symmetric linear four-step methods for the efficient integration of the Schrödinger equation and related oscillatory problems

0 references

Controlling the error growth in long–term numerical integration of perturbed oscillations in one or several frequencies

0 references

Explicit high order methods for the numerical integration of periodic initial-value problems

0 references

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

0 references

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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Stabilization of Cowell's method

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

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Identifiers

zbMATH Open document ID

1402.65063

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Mathematics Subject Classification ID

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10.1007/S00009-018-1216-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:1790550