On functionally-fitted Runge-Kutta methods

DOI10.1007/s10543-006-0092-xzbMath1108.65076OpenAlexW2038628582MaRDI QIDQ855282

Nguyen Si Hoang, Nguyen Huu Cong, Roger B. Sidje

Publication date: 5 January 2007

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-006-0092-x

zbMATH Keywords

collocationfunctional-fitting

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items

Functionally fitted Runge-Kutta-Nyström methods, Functionally-fitted block methods for second order ordinary differential equations, On high order symmetric and symplectic trigonometrically fitted Runge-Kutta methods with an even number of stages, Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems, Functionally fitted explicit two step peer methods, A functionally-fitted block hybrid Falkner method for Kepler equations and related problems, Analysis of trigonometric implicit Runge-Kutta methods, Functionally-fitted block \( \theta \)-methods for ordinary differential equations, Exponentially fitted multi-derivative linear methods for the resonant state of the Schrödinger equation, A second-derivative functionally fitted method of maximal order for oscillatory initial value problems, Functionally fitted explicit pseudo two-step Runge-Kutta methods, On the stability of functionally fitted Runge-Kutta methods, Functionally Fitted Energy-Preserving Methods for Solving Oscillatory Nonlinear Hamiltonian Systems, Symmetric and symplectic exponentially fitted Runge-Kutta methods of high order, Functionally-fitted block methods for ordinary differential equations, Some procedures for the construction of high-order exponentially fitted Runge-Kutta-Nyström methods of explicit type

Uses Software

• RODAS

Cites Work

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