The efficiency of second derivative multistep methods for the numerical integration of stiff systems
DOI10.1016/j.jnnms.2016.02.002zbMath1353.65080OpenAlexW2277845599MaRDI QIDQ2833414
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Publication date: 18 November 2016
Published in: Journal of the Nigerian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnnms.2016.02.002
stabilitynumerical exampleinitial value problemsstiff systemscollocationblock methodcontinuous schemesecond-derivative methodcovnergencemultistep integration method
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) Numerical methods for stiff equations (65L04)
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Cites Work
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- A modified version of Urabe's implicit single-step method
- Runge-Kutta type integration formulas including the evaluation of the second derivative. I
- New algorithms for the continuous approximate solution of ordinary differential equations and the upgrading of the order of the processes
- High order methods for the numerical integration of ordinary differential equations
- Construction of two-step Runge--Kutta methods with large regions of absolute stability
- On one-step methods utilizing the second derivative
- On explicit one-step methods utilizing the second derivative
- An implicit one-step method of high-order accuracy for the numerical integration of ordinary differential equations
- Second derivative methods with RK stability
- Parallel Solution of ODE’<scp>s</scp> by Multiblock Methods
- Superconvergence for Multistep Collocation
- Numerical Integrators for Stiff and Highly Oscillatory Differential Equations
- Non-linear stability of a general class of differential equation methods
- Block methods for second order odes
- Implementing Second-Derivative Multistep Methods Using the Nordsieck Polynomial Representation
- The Order of Numerical Methods for Ordinary Differential Equations
- A Modified Multistep Method for the Numerical Integration of Ordinary Differential Equations
- Generalized Multistep Predictor-Corrector Methods
- A Multistep Generalization of Runge-Kutta Methods With Four or Five Stages
- Hybrid Methods for Initial Value Problems in Ordinary Differential Equations
- Second Derivative Multistep Methods for Stiff Ordinary Differential Equations
- A special stability problem for linear multistep methods
