A new eight-order symmetric two-step multiderivative method for the numerical solution of second-order IVPs with oscillating solutions (Q679701)

scientific article; zbMATH DE number 6827917

Language	Label	Description	Also known as
English	A new eight-order symmetric two-step multiderivative method for the numerical solution of second-order IVPs with oscillating solutions	scientific article; zbMATH DE number 6827917

Statements

instance of

scholarly article

0 references

title

A new eight-order symmetric two-step multiderivative method for the numerical solution of second-order IVPs with oscillating solutions (English)

0 references

0 references

0 references

19 January 2018

0 references

zbMATH Keywords

initial value problems

0 references

multiderivative methods

0 references

second-order IVPs

0 references

phase-lag

0 references

symmetric multistep methods

0 references

numerical example

0 references

MaRDI profile type

Publication

0 references

full work available at URL

https://doi.org/10.1007/s11075-017-0306-0

0 references

cites work

Symmetric multistep Obrechkoff methods with zero phase-lag for periodic initial value problems of second order differential equations

0 references

High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation

0 references

High order four-step hybrid method with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation

0 references

Mulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equation

0 references

P-Stable Obrechkoff Methods with Minimal Phase-Lag for Periodic Initial Value Problems

0 references

Trigonometrically fitted Runge-Kutta methods for the numerical solution of the Schrödinger equation

0 references

A family of exponentially-fitted Runge-Kutta methods with exponential order up to three for the numerical solution of the Schrödinger equation

0 references

A family of two-stage two-step methods for the numerical integration of the Schrödinger equation and related IVPs with oscillating solution

0 references

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

0 references

High-order P-stable multistep methods

0 references

Q3923530

0 references

Symmetric Multistip Methods for Periodic Initial Value Problems

0 references

Exponential fitting BDF algorithms: explicit and implicit 0-stable methods

0 references

A numerical algorithm for singular perturbation problems exhibiting weak boundary layers.

0 references

\(P\)-stable symmetric super-implicit methods for periodic initial value problems

0 references

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

0 references

Q5714894

0 references

A New Two-step Obrechkoff Method with Vanished Phase-lag and Some of its Derivatives for the Numerical Solution of Radial Schrodinger Equation and Related IVPs with Oscillating Solutions

0 references

A new two-step P-stable hybrid Obrechkoff method for the numerical integration of second-order IVPs

0 references

Trigonometrically fitted high-order predictor-corrector method with phase-lag of order infinity for the numerical solution of radial Schrödinger equation

0 references

High phase-lag order trigonometrically fitted two-step Obrechkoff methods for the numerical solution of periodic initial value problems

0 references

P-stability, TF and VSDPL technique in Obrechkoff methods for the numerical solution of the Schrödinger equation

0 references

Q4975298

0 references

A P-stable complete in phase Obrechkoff trigonometric fitted method for periodic initial-value problems

0 references

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

0 references

An exponentially-fitted high order method for long-term integration of periodic initial-value problems

0 references

A finite-difference method for the numerical solution of the Schrödinger equation

0 references

Stabilization of Cowell's method

0 references

Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods

0 references

P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations

0 references

On the choice of the frequency in trigonometrically-fitted methods for periodic problems

0 references

Variable stepsize implementation of multistep methods for \(y\prime\prime =f(x,y,y^{\prime})\)

0 references

A new kind of high-efficient and high-accurate P-stable Obrechkoff three-step method for periodic initial-value problems

0 references

A new high efficient and high accurate Obrechkoff four-step method for the periodic nonlinear undamped Duffing's equation

0 references

An improved trigonometrically fitted P-stable Obrechkoff method for periodic initial-value problems

0 references

Identifiers

zbMATH Open document ID

1381.65054

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

10.1007/S11075-017-0306-0

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:679701