Symmetric multistep Obrechkoff methods with zero phase-lag for periodic initial value problems of second order differential equations
DOI10.1016/j.amc.2011.07.040zbMath1231.65117OpenAlexW4251623281MaRDI QIDQ654707
Publication date: 29 December 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.040
numerical examplesphase-lagP-stabilitysymmetric multistep methodsObrechkoff methodsperiodicity intervalssecond order initial value 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items (14)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new high efficient and high accurate Obrechkoff four-step method for the periodic nonlinear undamped Duffing's equation
- A new kind of high-efficient and high-accurate P-stable Obrechkoff three-step method for periodic initial-value problems
- A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method
- Unconditionally stable methods for second order differential equations
- Explicit high order methods for the numerical integration of periodic initial-value problems
- Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation
- Exponentially-fitted multiderivative methods for the numerical solution of the Schrödinger equation
- An explicit hybrid method of Numerov type for second-order periodic initial-value problems
- Symmetric multistep methods with zero phase-lag for periodic initial value problems of second order differential equations
- P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations
- A family of multiderivative methods for the numerical solution of the Schrödinger equation
- Numerical integration of ordinary differential equations based on trigonometric polynomials
- Stabilization of Cowell's method
- P-Stable Obrechkoff Methods with Minimal Phase-Lag for Periodic Initial Value Problems
- Symmetric Multistip Methods for Periodic Initial Value Problems
- On accuracy and unconditional stability of linear multistep methods for second order differential equations
- A P-stable complete in phase Obrechkoff trigonometric fitted method for periodic initial-value problems
- Effective Numerical Approximation of Schrödinger type Equations through Multiderivative Exponentially-fitted Schemes
- An improved trigonometrically fitted P-stable Obrechkoff method for periodic initial-value problems
This page was built for publication: Symmetric multistep Obrechkoff methods with zero phase-lag for periodic initial value problems of second order differential equations