A new eight-order symmetric two-step multiderivative method for the numerical solution of second-order IVPs with oscillating solutions
From MaRDI portal
Publication:679701
DOI10.1007/s11075-017-0306-0zbMath1381.65054OpenAlexW2591735368MaRDI QIDQ679701
Publication date: 19 January 2018
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-017-0306-0
numerical exampleinitial value problemsphase-lagsymmetric multistep methodssecond-order IVPsmultiderivative methods
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items (8)
A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications ⋮ Fourth derivative singularly P-stable method for the numerical solution of the Schrödinger equation ⋮ A new family of explicit linear two-step singularly P-stable Obrechkoff methods for the numerical solution of second-order IVPs ⋮ Subordination method for the estimation of certain subclass of analytic functions defined by the \(q\)-derivative operator ⋮ An explicit six-step singularly P-stable Obrechkoff method for the numerical solution of second-order oscillatory initial value problems ⋮ A new class of two-step P-stable TFPL methods for the numerical solution of second-order IVPs with oscillating solutions ⋮ A new family of three-stage two-step P-stable multiderivative methods with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation and IVPs with oscillating solutions ⋮ A new implicit six-step P-stable method for the numerical solution of Schrödinger equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Trigonometrically fitted high-order predictor-corrector method with phase-lag of order infinity for the numerical solution of radial Schrödinger equation
- On the choice of the frequency in trigonometrically-fitted methods for periodic problems
- High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation
- Mulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equation
- A new two-step P-stable hybrid Obrechkoff method for the numerical integration of second-order IVPs
- Symmetric multistep Obrechkoff methods with zero phase-lag for periodic initial value problems of second order differential equations
- 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
- High-order P-stable multistep methods
- \(P\)-stable symmetric super-implicit methods for periodic initial value problems
- Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods
- A family of two-stage two-step methods for the numerical integration of the Schrödinger equation and related IVPs with oscillating solution
- A family of exponentially-fitted Runge-Kutta methods with exponential order up to three for the numerical solution of the Schrödinger equation
- A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method
- A finite-difference method for the numerical solution of the Schrödinger equation
- A numerical algorithm for singular perturbation problems exhibiting weak boundary layers.
- Symmetric eighth algebraic order methods with minimal phase-lag for the numerical solution of the Schrödinger equation
- Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation
- High order four-step hybrid method with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation
- High phase-lag order trigonometrically fitted two-step Obrechkoff methods for the numerical solution of periodic initial value problems
- P-stability, TF and VSDPL technique in Obrechkoff methods for the numerical solution of the Schrödinger equation
- P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations
- Trigonometrically fitted Runge-Kutta methods for the numerical solution of the Schrödinger equation
- Exponential fitting BDF algorithms: explicit and implicit 0-stable methods
- Variable stepsize implementation of multistep methods for \(y\prime\prime =f(x,y,y^{\prime})\)
- 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
- A P-stable complete in phase Obrechkoff trigonometric fitted method for periodic initial-value problems
- A New Two-step Obrechkoff Method with Vanished Phase-lag and Some of its Derivatives for the Numerical Solution of Radial Schrodinger Equation and Related IVPs with Oscillating Solutions
- An improved trigonometrically fitted P-stable Obrechkoff method for periodic initial-value problems
- An exponentially-fitted high order method for long-term integration of periodic initial-value problems
This page was built for publication: A new eight-order symmetric two-step multiderivative method for the numerical solution of second-order IVPs with oscillating solutions
