A note on variable step-size formulation of a Simpson's-type second derivative block method for solving stiff systems
DOI10.1016/j.aml.2016.08.012zbMath1353.65073OpenAlexW2507531279MaRDI QIDQ338965
Gurjinder Singh, Higinio Ramos
Publication date: 7 November 2016
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2016.08.012
numerical experimentsordinary differential equationsinitial value problemsembedded strategyembedded-type methodSimpson's-type second derivative block methodvariable stepsize formulation
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for stiff equations (65L04)
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Cites Work
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- An optimized two-step hybrid block method for solving general second order initial-value problems
- A unified approach for the development of \(k\)-step block Falkner-type methods for solving general second-order initial-value problems in ODEs
- A new eighth-order A-stable method for solving differential systems arising in chemical reac\-tions
- Starting step size for an ODE solver
- Multistep methods for the numerical solution of ordinary differential equations made self-starting
- Solving Ordinary Differential Equations I
- Second Derivative Extended Backward Differentiation Formulas for the Numerical Integration of Stiff Systems
- Block Implicit One-Step Methods
- New L-Stable Modified Trapezoidal Methods For The Initial Value Problems
- [https://portal.mardi4nfdi.de/wiki/Publication:5339699 On the Numerical Solution of y � = f(x, y) by a Class of Formulae Based on Rational Approximation]
- Block Implicit One-Step Methods
- A Runge-Kutta for all Seasons
- Numerical Methods for Ordinary Differential Equations
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