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Diagonally implicit trigonometrically fitted symplectic Runge-Kutta methods (Q2451329)

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Language	Label	Description	Also known as
English	Diagonally implicit trigonometrically fitted symplectic Runge-Kutta methods	scientific article

Statements

scholarly article

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Diagonally implicit trigonometrically fitted symplectic Runge-Kutta methods (English)

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Applied Mathematics and Computation

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publication date

3 June 2014

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zbMATH Keywords

diagonally-implicit-Runge-Kutta methods

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symplecticness trigonometrically fitted methods

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Schrödinger equation

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Hamiltonian problems

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Zacharoula Kalogiratou

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.amc.2012.12.089

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

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

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A fourth algebraic order trigonometrically fitted predictor-corrector scheme for IVPs with oscillating solutions

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Trigonometrically fitted predictor--corrector methods for IVPs with oscillating solutions

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

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Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution.

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Zero dissipative, explicit Numerov-type methods for second order IVPs with oscillating solutions

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Optimized Runge-Kutta pairs for problems with oscillating solutions

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

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

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

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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

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

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Symplectic trigonometrically fitted partitioned Runge-Kutta methods

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A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods

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A fourth-order symplectic exponentially fitted integrator

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Order Conditions for Canonical Runge–Kutta Schemes

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

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

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.AMC.2012.12.089

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Sitelinks

Mathematics(1 entry)

mardi Publication:2451329

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