Efficient fourth order P-stable formulae
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Publication:1095612
DOI10.1007/BF01937279zbMath0632.65087OpenAlexW39179816MaRDI QIDQ1095612
Publication date: 1987
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01937279
comparison of methodsNewton methodP-stabilitynonlinear second order differential systemoscillation problems
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)
Related Items (5)
Variable-order, variable-step methods for second-order initial-value problems ⋮ Efficient sixth order methods for nonlinear oscillation problems ⋮ On the generation of mono-implicit Runge-Kutta-Nyström methods by mono-implicit Runge-Kutta methods ⋮ Efficient eighth order p-stable methods for second order initial value problems ⋮ On a class of \(P\)-stable mono-implicit Runge-Kutta-Nyström methods
Cites Work
- Efficient P-stable methods for periodic initial value problems
- Starting step size for an ODE solver
- Unconditionally stable Noumerov-type methods for second order differential equations
- Phase properties of high order, almost P-stable formulae
- Families of two-step fourth order \(P\)-stable methods for second order differential equations
- Automatic selection of the initial step size for an ODE solver
- Local error control in SDIRK-methods
- High order P-stable formulae for the numerical integration of periodic initial value problems
- Unconditionally stable methods for second order differential equations
- The real-pole sandwich for rational approximations and oscillation equations
- Efficiency of Methods for Second-Order Problems
- Displacement or Residual Test in the Application of Implicit Methods for Stiff Problems
- Evaluation of implicit formulas for the solution of ODEs
- A one-step method for direct integration of structural dynamic equations
- Implementation of Implicit Formulas for the Solution of ODE<scp>s</scp>
- Symmetric Multistip Methods for Periodic Initial Value Problems
- One-step methods of hermite type for numerical integration of stiff systems
- Two-step fourth order P-stable methods for second order differential equations
- Two-step fourth order P-stable methods for second order differential equations
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