Functionally fitted explicit pseudo two-step Runge-Kutta methods

DOI10.1016/J.APNUM.2007.11.023zbMath1158.65050OpenAlexW2019827414MaRDI QIDQ960288

Roger B. Sidje, Nguyen Si Hoang

Publication date: 16 December 2008

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2007.11.023

zbMATH Keywords

stabilityCauchy problemnumerical experimentserror estimationcollocationvariable stepsizevariable coefficientsfunctionally fittedfunctionally fitted explicit pseudo two-steps Runge-Kutta methodsnonstiff ODEstwo-step explicit RK

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (1)

Functionally fitted explicit two step peer methods

Uses Software

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• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• An embedded pair of exponentially fitted explicit Runge-Kutta methods
• Exponentially fitted explicit Runge-Kutta-Nyström methods
• A four-stage implicit Runge-Kutta-Nyström method with variable coefficients for solving periodic initial value problems
• Analysis of trigonometric implicit Runge-Kutta methods
• The MATLAB ODE Suite
• Stability of Parallel Explicit ODE Methods
• Embedded Pseudo-Runge–Kutta Methods
• Explicit pseudo two-step runge-kutta methods for parallel computers^∗
• Mixed collocation methods for \(y=f(x,y)\)
• Optimal implicit exponentially-fitted Runge-Kutta methods
• A functional fitting Runge-Kutta-Nyström method with variable coefficients.

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