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Optimized pairs of multidimensional ERKN methods with FSAL property for multi-frequency oscillatory systems - MaRDI portal

Optimized pairs of multidimensional ERKN methods with FSAL property for multi-frequency oscillatory systems (Q5031271)

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scientific article; zbMATH DE number 7476608

Language	Label	Description	Also known as
English	Optimized pairs of multidimensional ERKN methods with FSAL property for multi-frequency oscillatory systems	scientific article; zbMATH DE number 7476608

Statements

scholarly article

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Optimized pairs of multidimensional ERKN methods with FSAL property for multi-frequency oscillatory systems (English)

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International Journal of Computer Mathematics

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publication date

18 February 2022

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zbMATH Keywords

multidimensional ERKN pair

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multi-frequency oscillatory system

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variable-stepsize

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phase-lag

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/00207160.2020.1817412

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

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Families of Runge-Kutta-Nystrom Formulae

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Extended RKN methods with FSAL property for oscillatory systems

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Efficient energy-preserving methods for general nonlinear oscillatory Hamiltonian system

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New methods for oscillatory systems based on ARKN methods

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Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations

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Solving Ordinary Differential Equations I

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Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations

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New insights in the development of Numerov-type methods with minimal phase-lag for the numerical solution of the Schrödinger equation

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Stabilization of Cowell's method

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

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Error bounds for explicit ERKN integrators for systems of multi-frequency oscillatory second-order differential equations

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Novel improved multidimensional Störmer-Verlet formulas with applications to four aspects in scientific computation

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Structure-Preserving Algorithms for Oscillatory Differential Equations II

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Multidimensional adapted Runge-Kutta-Nyström methods for oscillatory systems

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Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs

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Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods

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ERKN integrators for systems of oscillatory second-order differential equations

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Structure-Preserving Algorithms for Oscillatory Differential Equations

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Order conditions for ARKN methods solving oscillatory systems

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Special extended Nyström tree theory for ERKN methods

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Identifiers

zbMATH Open document ID

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10.1080/00207160.2020.1817412

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5031271

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