High-order predictor--corrector of exponential fitting for the \(N\)-body problems
From MaRDI portal
Publication:2489672
DOI10.1016/J.JCP.2005.09.028zbMath1136.70302OpenAlexW2054701189MaRDI QIDQ2489672
Wenping Wang, Chen Tang, Haiqing Yan, Zhan-Qing Chen
Publication date: 28 April 2006
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2005.09.028
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) (n)-body problems (70F10)
Related Items (42)
New three-stages symmetric six-step finite difference method with vanished phase-lag and its derivatives up to sixth derivative for second order initial and/or boundary value problems with periodical and/or oscillating solutions ⋮ An implicit symmetric linear six-step methods with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrödinger equation and related problems ⋮ Family of symmetric linear six-step methods with vanished phase-lag and its derivatives and their application to the radial Schrödinger equation and related problems ⋮ A family of embedded explicit six-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation: development and theoretical analysis ⋮ A new six-step algorithm with improved properties for the numerical solution of second order initial and/or boundary value problems ⋮ A new three-stages six-step finite difference pair with optimal phase properties for second order initial and/or boundary value problems with periodical and/or oscillating solutions ⋮ A family of two stages tenth algebraic order symmetric six-step methods with vanished phase-lag and its first derivatives for the numerical solution of the radial Schrödinger equation and related problems ⋮ A new eight algebraic order embedded explicit six-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the Schrödinger equation ⋮ Three stages symmetric six-step method with eliminated phase-lag and its derivatives for the solution of the Schrödinger equation ⋮ A new optimized symmetric 8-step semi-embedded predictor-corrector method for the numerical solution of the radial Schrödinger equation and related orbital problems ⋮ An efficient six-step method for the solution of the Schrödinger equation ⋮ A new high order two-step method with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation ⋮ New multiple stages multistep method with best possible phase properties for second order initial/boundary value problems ⋮ High order four-step hybrid method with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation ⋮ New high order multiderivative explicit four-step methods with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation. I: construction and theoretical analysis ⋮ Stability analysis of ef Gaussian direct quadrature methods for Volterra integral equations ⋮ A generator of families of two-step numerical methods with free parameters and minimal phase-lag ⋮ New open modified trigonometrically-fitted Newton-Cotes type multilayer symplectic integrators for the numerical solution of the Schrödinger equation ⋮ A multistep method with optimal properties for second order differential equations ⋮ New two stages high order symmetric six-step method with vanished phase-lag and its first, second and third derivatives for the numerical solution of the Schrödinger equation ⋮ A new hybrid two-step method with vanished phase-lag and its first and second derivatives for the numerical solution of the Schrödinger equation and related problems ⋮ New four-stages symmetric six-step method with improved phase properties for second order problems with periodical and/or oscillating solutions ⋮ A new four-step hybrid type method with vanished phase-lag and its first derivatives for each level for the approximate integration of the Schrödinger equation ⋮ An explicit four-step method with vanished phase-lag and its first and second derivatives ⋮ A Runge-Kutta type four-step method with vanished phase-lag and its first and second derivatives for each level for the numerical integration of the Schrödinger equation ⋮ A new explicit hybrid four-step method with vanished phase-lag and its derivatives ⋮ An explicit linear six-step method with vanished phase-lag and its first derivative ⋮ A family of explicit linear six-step methods with vanished phase-lag and its first derivative ⋮ A two-step method with vanished phase-lag and its first two derivatives for the numerical solution of the Schrödinger equation ⋮ A hybrid type four-step method with vanished phase-lag and its first, second and third derivatives for each level for the numerical integration of the Schrödinger equation ⋮ A high algebraic order predictor-corrector explicit method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the Schrödinger equation and related problems ⋮ Efficient low computational cost hybrid explicit four-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical integration of the Schrödinger equation ⋮ A high algebraic order multistage explicit four-step method with vanished phase-lag and its first, second, third, fourth and fifth derivatives for the numerical solution of the Schrödinger equation ⋮ A new multistep finite difference pair for the Schrödinger equation and related problems ⋮ A new two stages tenth algebraic order symmetric six-step method with vanished phase-lag and its first and second derivatives for the solution of the radial Schrödinger equation and related problems ⋮ Two stages six-step method with eliminated phase-lag and its first, second, third and fourth derivatives for the approximation of the Schrödinger equation ⋮ High order computationally economical six-step method with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation ⋮ High algebraic order Runge-Kutta type two-step method with vanished phase-lag and its first, second, third, fourth, fifth and sixth derivatives ⋮ A new explicit four-step method with vanished phase-lag and its first and second derivatives ⋮ High order closed Newton-Cotes exponentially and trigonometrically fitted formulae as multilayer symplectic integrators and their application to the radial Schrödinger equation ⋮ A new four-step Runge-Kutta type method with vanished phase-lag and its first, second and third derivatives for the numerical solution of the Schrödinger equation ⋮ A predictor-corrector explicit four-step method with vanished phase-lag and its first, second and third derivatives for the numerical integration of the Schrödinger equation
Cites Work
- Unnamed Item
- Exponential time differencing for stiff systems
- The arbitrary order implicit multistep schemes of exponential fitting and their applications
- Exponentially fitted variable two-step BDF algorithm for first order ODEs
- A new class of time discretization schemes for the solution of nonlinear PDEs
- Dangers of multiple time step methods
- A performance comparison of tree data structures for \(N\)-body simulation
- The various order explicit multistep exponential fitting for systems of ordinary differential equations
- A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrodinger equation
- Exact Relativistic Two-Body Motion in Lineal Gravity
- Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods
- Exponential fitting of the delayed recruitment/renewal equation
- Optimal implicit exponentially-fitted Runge-Kutta methods
This page was built for publication: High-order predictor--corrector of exponential fitting for the \(N\)-body problems