Runge-Kutta type methods with special properties for the numerical integration of ordinary differential equations (Q517257)

scientific article; zbMATH DE number 6696608

Language	Label	Description	Also known as
English	Runge-Kutta type methods with special properties for the numerical integration of ordinary differential equations	scientific article; zbMATH DE number 6696608

Statements

instance of

scholarly article

0 references

title

Runge-Kutta type methods with special properties for the numerical integration of ordinary differential equations (English)

0 references

0 references

0 references

0 references

23 March 2017

0 references

zbMATH Keywords

Runge-Kutta methods

0 references

symplecticness

0 references

minimum phase-lag

0 references

phase-fitting

0 references

Schrödinger equation

0 references

Hamiltonian problems

0 references

MaRDI profile type

Publication

0 references

full work available at URL

https://doi.org/10.1016/j.physrep.2013.11.003

0 references

cites work

Q4435815

0 references

Zur numerischen Integration von Differentialgleichungen durch Potenzreihen‐Ansätze, dargestellt an Hand physikalischer Beispiele

0 references

Q5641979

0 references

Runge-Kutta-Nyström triples

0 references

Solving Ordinary Differential Equations I

0 references

Q4002473

0 references

Q4875914

0 references

Numerical integration of ordinary differential equations based on trigonometric polynomials

0 references

Chebyshevian multistep methods for ordinary differential equations

0 references

Stabilization of Cowell's method

0 references

Q4679151

0 references

Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials

0 references

An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions

0 references

A New Theoretical Approach to Runge–Kutta Methods

0 references

Exponentially-fitted explicit Runge-Kutta methods

0 references

Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions

0 references

A one-step method for direct integration of structural dynamic equations

0 references

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

0 references

A four-step phase-fitted method for the numerical integration of second order initial-value problems

0 references

Q4531870

0 references

Q4315882

0 references

A Symplectic Trigonometrically Fitted Modified Partitioned Runge-Kutta Method for the Numerical Integration of Orbital Problems

0 references

A fourth-order symplectic exponentially fitted integrator

0 references

A symplectic Runge-Kutta-Nyström method with minimal phase-lag

0 references

Symplectic partitioned Runge-Kutta methods with minimal phase-lag

0 references

Phase fitted symplectic partitioned Runge-Kutta methods for the numerical integration of the Schrödinger equation

0 references

Canonical Runge-Kutta methods

0 references

Q3138306

0 references

Runge-Kutta schemes for Hamiltonian systems

0 references

Order Conditions for Canonical Runge–Kutta Schemes

0 references

Exponential fitted Runge-Kutta methods of collocation type: Fixed or variable knot points?

0 references

A Fifth-order Symplectic Trigonometrically Fitted Partitioned Runge-Kutta Method

0 references

A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation

0 references

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

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

Exponentially fitted Runge-Kutta methods

0 references

Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods

0 references

Optimal implicit exponentially-fitted Runge-Kutta methods

0 references

Embedded eighth order methods for the numerical solution of the Schrödinger equation

0 references

An embedded pair of exponentially fitted explicit Runge-Kutta methods

0 references

New embedded explicit pairs of exponentially fitted Runge-Kutta methods

0 references

Frequency evaluation for exponentially fitted Runge-Kutta methods

0 references

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

0 references

Structure preservation of exponentially fitted Runge-Kutta methods

0 references

Sixth-order symmetric and symplectic exponentially fitted modified Runge-Kutta methods of Gauss type

0 references

Symmetric and symplectic exponentially fitted Runge-Kutta methods of high order

0 references

Diagonally implicit trigonometrically fitted symplectic Runge-Kutta methods

0 references

Runge-Kutta interpolants with minimal phase-lag

0 references

Explicit Runge-Kutta methods for initial value problems with oscillating solutions

0 references

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

0 references

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

0 references

A modified Runge–Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems

0 references

Optimized Runge-Kutta pairs for problems with oscillating solutions

0 references

Minimum storage Runge-Kutta schemes for computational acoustics.

0 references

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

0 references

Q3184861

0 references

A PHASE-FITTED AND AMPLIFICATION-FITTED EXPLICIT TWO-STEP HYBRID METHOD FOR SECOND-ORDER PERIODIC INITIAL VALUE PROBLEMS

0 references

Families of Runge-Kutta-Nystrom Formulae

0 references

High-Order Embedded Runge-Kutta-Nystrom Formulae

0 references

Order conditions for canonical Runge-Kutta-Nyström methods

0 references

Computation of the eigenvalues of the Schrödinger equation by exponentially-fitted Runge-Kutta-Nyström methods

0 references

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

0 references

Construction of trigonometrically and exponentially fitted Runge--Kutta--Nyström methods for the numerical solution of the Schrödinger equation and related problems -- a method of 8th algebraic order

0 references

Exponentially fitted explicit Runge-Kutta-Nyström methods

0 references

A \(5(3)\) pair of explicit Runge-Kutta-Nyström methods for oscillatory problems

0 references

A Runge-Kutta-Nyström method for the numerical integration of special second-order periodic initial-value problems

0 references

A P-stable singly diagonally implicit Runge-Kutta-Nyström method

0 references

High Phase-Lag-Order Runge--Kutta and Nyström Pairs

0 references

A phase-fitted collocation-based Runge-Kutta-Nyström method

0 references

Canonical Runge-Kutta-Nyström methods of orders five and six

0 references

High-Order Symplectic Runge–Kutta–Nyström Methods

0 references

A tenth-order symplectic Runge-Kutta-Nyström method

0 references

Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods

0 references

Exponentially fitted symplectic integrators of RKN type for solving oscillatory problems

0 references

FOURTH ORDER SYMPLECTIC INTEGRATION WITH REDUCED PHASE ERROR

0 references

A Partially Implicit Method for Large Stiff Systems of ODE<scp>s</scp> with Only Few Equations Introducing Small Time-Constants

0 references

Fourth-order symplectic integration

0 references

Partitioned Runge-Kutta Methods for Separable Hamiltonian Problems

0 references

Symplectic Partitioned Runge-Kutta Methods for the Numerical Integration of Periodic and Oscillatory Problems

0 references

A symplectic integration algorithm for separable Hamiltonian functions

0 references

Sixth-order Lie group integrators

0 references

The accuracy of symplectic integrators

0 references

Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods

0 references

New second-order exponentially and trigonometrically fitted symplectic integrators for the numerical solution of the time-independent Schrödinger equation

0 references

Symplectic trigonometrically fitted partitioned Runge-Kutta methods

0 references

Trigonometrically and Exponentially fitted Symplectic Methods of third order for the Numerical Integration of the Schrödinger Equation

0 references

Exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation

0 references

Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation

0 references

Symplectic and trigonometrically fitted symplectic methods of second and third order

0 references

Computation of the eigenvalues of the Schrödinger equation by symplectic and trigonometrically fitted symplectic partitioned Runge-Kutta methods

0 references

A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods

0 references

A family of embedded Runge-Kutta formulae

0 references

The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem

0 references

TWO NEW PHASE-FITTED SYMPLECTIC PARTITIONED RUNGE–KUTTA METHODS

0 references

Symplectic partitioned Runge-Kutta methods with the phase-lag property

0 references

Identifiers

zbMATH Open document ID

1360.65194

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

10.1016/J.PHYSREP.2013.11.003

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:517257