THDRK methods with vanished phase-lag and its first derivative for the Schrödinger equation (Q2000917)

scientific article; zbMATH DE number 7075224

Language	Label	Description	Also known as
English	THDRK methods with vanished phase-lag and its first derivative for the Schrödinger equation	scientific article; zbMATH DE number 7075224

Statements

instance of

scholarly article

0 references

title

THDRK methods with vanished phase-lag and its first derivative for the Schrödinger equation (English)

0 references

0 references

0 references

0 references

0 references

1 July 2019

0 references

zbMATH Keywords

three-derivative Runge-Kutta methods

0 references

phase-lag error

0 references

Schrödinger equation

0 references

error analysis

0 references

MaRDI profile type

Publication

0 references

full work available at URL

https://doi.org/10.1007/s10910-019-01002-7

0 references

cites work

A modified phase-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation

0 references

An embedded phase-fitted modified Runge-Kutta method for the numerical integration of the radial Schrödinger equation

0 references

On the stability of exponential fitting BDF algorithms

0 references

Triangular splitting implementation of RKN‐type Fourier collocation methods for second‐order differential equations

0 references

Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems

0 references

Efficient implementation of RKN-type Fourier collocation methods for second-order differential equations

0 references

Arbitrary-order functionally fitted energy-diminishing methods for gradient systems

0 references

Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations

0 references

Sixth-order symplectic and symmetric explicit ERKN schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations

0 references

Exponential Fourier Collocation Methods for Solving First-Order Differential Equations

0 references

The formulation and analysis of energy-preserving schemes for solving high-dimensional nonlinear Klein–Gordon equations

0 references

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

0 references

Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers.

0 references

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

0 references

On the numerical solution of the heat conduction equations subject to nonlocal conditions

0 references

An embedded Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation

0 references

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

0 references

Multistep numerical methods for the integration of oscillatory problems in several frequencies

0 references

Exponential fitting BDF-Runge-Kutta algorithms

0 references

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

A family of eight-step methods with vanished phase-lag and its derivatives for the numerical integration 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

A family of Runge-Kutta methods with zero phase-lag and derivatives for the numerical solution of the Schrödinger equation and related problems

0 references

New optimized two-derivative Runge-Kutta type methods for solving the radial Schrödinger equation

0 references

Second Derivative Multistep Methods for Stiff Ordinary Differential Equations

0 references

Solving Ordinary Differential Equations I

0 references

On explicit two-derivative Runge-Kutta methods

0 references

Two-derivative Runge-Kutta-Nyström methods for second-order ordinary differential equations

0 references

On modified TDRKN methods for second-order systems of differential equations

0 references

Derivation of three-derivative Runge-Kutta methods

0 references

Q4725642

0 references

Limit-cycle-preserving simulation of gene regulatory oscillators

0 references

Comparison of some special optimized fourth-order Runge-Kutta methods for the numerical solution of the Schrödinger equation

0 references

Modified explicit Runge-Kutta methods for the numerical solution of the Schrödinger equation

0 references

published in

Journal of Mathematical Chemistry

0 references

Identifiers

zbMATH Open document ID

1417.81174

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

10.1007/S10910-019-01002-7

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2000917